Frank Solutions and MCQ for Chapter 4 Current Electricity Class 10 Physics ICSE
Exercises
(a) In the circuit shown in fig. 1, the e.m.f. of the cell is 4 volts, the current flowing through the resistor is
(i) Remain same
(ii) Double in value
(iii) Become four times
(iv) Become one fourth
(v) Become half
(ii) double in value
(i) Discharge of electricity through gases
(ii) Diode value
(iii) All metallic conductors
(iv) Carbon compounds
(iv) ohmic conductors
(i) 5 Ω
(iii) 1 Ω
(iv) 6 Ω
(v) 2 Ω
(iv) 6 Ω
(i) Power
(ii) Voltage
(iii) Resistance
(iv) Current
(v) Energy
(ii) voltage
(i) Protect the user from electric shock by short circuiting and consequently breaking the circuit.
(ii) Prevent the fuse from burning out.
(iii) Protect the iron.
(iv) Complete the electrical circuit to the iron.
(v) Allow the current to get away.
(i) protect the user from electric shock by short circuiting and consequently breaking the circuit.
(i) The fuse should be fitted in the live wire.
(ii) The live wire is coloured brown.
(iii) A 13 ampere fuse is the most suitable rating to use.
(iv) The yellow and green wire should be connected to the earth pin.
(v) The blue wire should be connected to the neutral side of the mains.
(b) (i) Coulomb
(ii) Ohm
(c) Electromotive force
(d) Semiconductors
(e) Super conductors.
(ii) Ohm: It is the unit of resistance. The resistance of a conductor is said to be 1 ohm, if 1 ampere current flows through it, when the potential difference across its ends is 1 volt.
Examples: manganin, constantan etc.
Exampels: lead, tin etc.
Limitations of Ohm's law:
- Ohm's law does not apply to conductors such as diode, radio valves, metal rectifiers, where electricity passes through gases.
- Ohm's law is applicable only when the physical conditions remain constant.
- Ohm's law is applicable only when the temperature of the conductor is constant.
- Nature of conductor: different materials have different concentration of free electrons and therefore resistance of a conductor depends on its material.
- Length of conductor: Resistance of a conductor is directly proportional to the length of a conductor.
- Area of cross-section of a conductor: Resistance of a conductor is inversely proportional to the area of cross-section of the uniform wire.
- Temperature of conductor: In general for metallic conductors, higher the temperature larger is the resistance.
Functions:
(A) Cell- It provides the potential difference in the circuit.
(B) Key- It serves as a switch in the circuit. It supplies or cuts off current as required.
(C) Ammeter- It measures the current in the circuit.
(D) Rheostat- It helps to change the resistance of the circuit without changing its voltage.
(E) Resistor- It provides a constant resistance in the circuit.
(F) Voltmeter- It measure the potential drop across the resistor.
(a) Between A and B resistances 5Ω and 3Ω are connected in series.
This series combination of resistances 5Ω and 3Ω is connected in parallel with the resistance 8Ω
∴ total resistance between A and B is given as :
Parallel resistance of 9 Ω and 18 Ω is.
∴ total resistance between A and B is .
R = 6+2 = 8Ω
(c) The situation consists of three two ohm resistors connected in series between CEFD and their combination in parallel with the fourth 2 ohm resistor between C and D.
(b) If the current through a heater is 4 A what charge must be passing in 8 seconds?
Current, I = q/t = 80/120 = 0.67 A
(b) Given, current I = 4 A, time 8 s
Let q be the charge passing in 8s
Then, q =It = 4× 8 = 32 C
For filament lamp :
Given that, voltage = 3 V, current = 0.5 A.
let R be the resistance of the filament lamp;
then, R = V/I = 3/0.5 = 6 Ω
(b) The current in P to the current in Q?
(b) To get an equivalent resistance of 4 Ω using three 6 Ω resistors, they should be connected in parallel as shown:
(a) Resistance of the parallel combination ?
(b) Reading on the ammeter ?
(c) Potential difference across the 3 Ω resistor ?
(d) Current flowing through each resistor ?
In the given network, between B and C the series combination of two 6Ω resistors is connected in parallel with the third 6Ω resistor.
∴ Resistance in parallel is :
Effective resistance between P and Q is
R = 10 + 30 + 20 = 60 Ω
(c) In the given network, the parallel combination of two 2Ω resistors is connected in series with the parallel combination of two 3Ω resistors.
∴ Resistance in parallel of two 2Ω resistors is :
The situation consists of three 10 ohm resistors connected in series between combination in parallel with the fourth 10 ohm resistor between C and D.
Therefore, series combination gives, 10+10+10 = 30 Ω.
This 30Ω resistor is connected in parallel to the fourth 10 Ω resistor, therefore, resistance between C and D,
Therefore, series combination gives, 10+ 10 +10 = 30 Ω
This 30 Ω resistor is connected in parallel to the fourth 10 Ω resistor, therefore resistance between C and D,
Now, between A and B the resistance R and two 10 Ω resistors are connect
Therefore, equivalent resistance between A and B is
In the path ACB, the series combination of two 2Ω resistor is connected in parallel with the third 2 Ω resistor.
∴ resistance in series = 2+ 2 = 4 Ω
This 4 Ω resistor is now connected in parallel with the 2Ω resistor.
Internal resistance r = 2×2 = 4 Ω
Resistance in the circuit, R = 4 Ω
Total resistance of the given series circuit = 4+4 = 8Ω
(b) Closed.
∴ Resistance of the circuit, when the switch is open :
R = 20 + 5 = 25 Ω
Given, voltage = 10 V
∴ Current through the circuit, I = V/R = 10/25 = 0.4 A
The reading of the ammeter is thus 0.4 A, when the switch is open.
(b) When the switch is closed, resistance 60Ω gets connected to the circuit.
Thus, in the circuit the parallel combination of 60 Ω and 20 Ω resistors is connected in series with the 5 Ω resistor.
(a) P.d. across the junction XY,
(b) Current flowing through 9 Ω and 24 Ω.
(c) P.d. across 24 Ω resistor, and
(d) e.m.f. of the cell.
(b) Potential difference across 9 Ω resistor = Pot. diff. across 6 Ω resistor = 1.8 V
∴ Current through 9 Ω resistor = 1.8/9 = 0.2 A
Current through 2.4 Ω resistor = total current in the circuit = 0.3 + 0.2 = 0.5 A
(c) p.d. across 2.4 Ω resistor = 0.5 ×2.4 = 1.2 V
(d) emf of cell = p.d. across 2.4 Ω resistor + pot. diff. across XY = 1.2 + 1.8 = 3.0 V
(a) Current recorded by the ammeter,
(b) P.d. across the terminals of the resistor B,
(c) Current passing through each of the resistors, B, C and D, and
(d) P.d. across the terminals of the battery.
In the given circuit, parallel combination of resistances 2 Ω and 3Ω is connected series with a 3 Ω resistance.
Quantity |
Unit |
(a) Electrical potential |
Volt |
Answer
Quantity |
Unit |
1. Electrical potential |
Volt |
∴ I = P/V
Given voltage supply = 240 volt
(c) If a fuse contains a 5 A fuse wire and the voltage is 240 V, what is the maximum power (wattage) which may be taken from the circuit?
(d) What would be the danger involved in replacing a blown fuse with the one which would carry a large current?
(c) Maximum power that can be taken, P = VI = 240 x S = 1200 W.
(b) Resistance of the filament,
(c) Heat produced in 1 minute by the element,
(d) Cost of running the kettle for 10 minutes a day for 30 days of the month, at the rate of Rs. 3.00 per unit.
We know that, P = VI
∴ I = P/V = 3000/250 = 12 A
Thus a maximum of 12 A current can pass through the electric wire and a fuse of rating 13 A should be used with it.
(b) Resistance of the resistor, and
(c) Average power dissipated in the resistor.
(b) Identify the terminal through which no current passes in normal circumstances.
(c) What is the purpose of the earthed wire connected to an electric appliance like an electric heater? Describe how it works.
Blue wire or neutral wire should be connected to terminal B.
Green wire or earth wire should be connected to terminal A.
(b) No, current passes through the earth terminal i.e. terminal A in normal circumstances.
(c) The metal case of an electrical appliance is earthed so that in any case of accidental contact of live wire with the metallic body of the appliance, the earth wire would provide a safe and easy path for the electric charges to flow down to the earth which acts as very large sink. Thus, user is thereby protected from any fatal electric shock.
List of materials used:
Light bulbs have two metal contacts, which connect to the ends of an electrical circuit. The metal contacts are attached to two stiff wires, which are attached to a thin metal filament. The filament sits in the middle of the bulb, held up by a glass mount. The wires and the filament are housed in a glass bulb, which is filled with an inert gas, such as argon.
- When the bulb is connected to a power supply, an electric current flows from one contact to the other, through the wires and the filament.
- As the electrons zip along through the filament, they are constantly bumping into the atoms that make up the filament. The energy of each impact vibrates an atom -- in other words, the current heats the atoms up.
- Metal atoms release mostly infrared light photons, which are invisible to the human eye. But if they are heated to a high enough level around 4,000 degrees Fahrenheit in the case of a light bulb they will emit a good deal of visible light.
In a modern light bulb, inert gases, typically argon, greatly reduce this loss of tungsten. At extreme temperatures, the occasional tungsten atom vibrates enough to detach from the atoms around it and flies into the air resulting in its evaporation. In the presence of argon gas around it, the chances are that it will collide with an argon atom and bounce right back toward the filament, where it will rejoin the solid structure. Also since inert gases normally don't react with other elements, there is no chance of the elements combining in a combustion reaction.
(b) Fuse wire
(c) Heating elements
(d) Connecting wires of a power line
(e) Earthing elements
(b) Fuse wire: Materials having high resistance and low melting point e.g. solder an alloy of lead and tin.
(c) Heating element: Materials having high resistivity and high melting point e.g. tungsten.
(d) Connecting wire of a power line: Materials having low resistance and non-corosive properties e.g. high tension wires.
(e) Earthing elements: Materials which are good conductors of electricity. Earthing elements are copper wire, copper plate, salt.
(b) Energy consumed in 20 hours,
(c) Cost of energy consumed in 20 hours at the rate of Re. 1 per unit.
(a) Total energy provided by battery in 10 minutes,
(b) Heat dissipated in the bulb in 10 minutes.
(a) Energy provided by battery in 10 mins = Power x time = (VIt)= 4×0.5×20= 40 watt-hour
(b) Heat dissipated in the bulb in 10 minutes = I2Rt
Let R be the resistance of the bulb, then:
(b) Advantages of a parallel connection are:
- In parallel arrangement, each appliance works at the same voltage. For example, if several bulbs are connected in parallel, each bulb glows at the same voltage. Therefore, the glow of a bulb is unaffected if another bulb is switched on or off.
- In parallel arrangement, if one bulb (or appliance
(b) When they are in parallel.
In each case calculate the power dissipated in the battery.
Given, emf e = 10 V, internal resistance r = 2.5 Ω
Appliances |
Voltage (V) |
Power (W) |
(a) Washing machine |
250 |
3000 |
Answer
Appliances |
Voltage (V) |
Power (W) |
Resistance (R in 0 =V2/P) |
(a) washing machine |
250 |
3000 |
20.8 |
Therefore, hair curler has the largest working resistance.
(a) 2× 10-7 J
(b) 200 J
(c) 5 × 106 J
(d) 2 × 109 J
(e) 2 × 1010 J
Energy given = QV = 20 × 108 = 2×108 J
∴ (d) 2 × 109 J
(b) The brown wire should be connected to the live side of the mains.
(a) A 13A fuse is the most appropriate value to use
(iii) Can a transformer work when it is connected to a D.C. source? Give a reason.
(iv) Draw a simple labeled diagram of a step-down transformer.
(v) Draw a simple labeled diagram of a step-up transformer.
(ii) Function of a step-up transformer is to increase the a.c. voltage and decrease the current.
(iii) No, a transformer cannot work on a d.c. source. With a d.c. source, there will be no change in magnetic flux linked with the secondary coil.
(i)At the end of the coil X,
(ii)At the end C of the coil Y,
(iii)At the end C of the coil Y if the coil Y is (a) Moved towards the coil X, (b) Moved away from the coil X.
(ii) While closing the key, polarity at the end C of the coil Y will be north. There will be no polarity at the end C of the coil Y when the current becomes steady in the coil X.
(iii) (a) While the coil Y is moved towards the coil X, the polarity at the end C of the coil Y is north.
(b) While the coil Y is moved away the coil X, the polarity at the end C of the coil Y is south.
(a) Describe the observation in the galvanometer if
(i) The magnet is moved rapidly in the direction of arrow,
(ii) The magnet is kept still after it has moved into the coil,
(iii) The magnet then rapidly pulled out the coil.
- When the magnet is moved rapidly in the direction of arrow, the magnetic flux linked with the coil changes and there is a deflection in the galvanometer, indicating a flow of current through the coil.
- On keeping the magnet still, the magnetic flux linked with the coil does not change and there is no deflection in the galvanometer, indicating that no current is flowing through the coil.
- When the magnet is rapidly pulled out, there is again change in the magnetic flux linked with the coil and the galvanometer shows a deflection but this time in opposite direction, indicating that a current is flowing in opposite direction in the coil.
At A |
At B |
At C |
(i) left |
Left |
Left |
(ii) left |
Zero |
Zero |
(iii) left |
Zero |
Right |
(iv) left |
Right |
Left |
(v) left |
Right |
right |
(b) Consider two cases of two parallel current carrying conductors. Current in the same direction and currents in the opposite directions will produce
(ii) Repulsion and attraction respectively,
(iii) Attraction in both cases,
(iv) Repulsion in both cases,
(v) Oscillation in both cases.
(ii) repulsion and attraction respectively
(c) Which of the following changes would enable a millimeter to be used as a direct current ammeter reading upto 1 A?
(d) In fig. 13, XY is at right angles to the magnetic field. The direction in which XY should be moved to induce an electron flow in the direction Y to X as indicated by the arrow is
(ii) Towards N and perpendicular to XY,
(iii) Towards 5 and perpendicular to XY,
(iv) Upwards and perpendicular to XY.
(e) There are 500 turns and 2000 turns in the primary and secondary coil of a transformer respectively. If the output voltage is 1000 V, how large is the input voltage?
(i) 250 V
(ii) 500 V
(iii) 1000 V
(iv) 2000 V
(v) 4000 V
(b) Steel has high retentivity. Hence, after prolonged use even when the switch is off, it may retain some magnetic property and attract the armature.
(c) Using copper as a material for core will introduce eddy currents in the core and thus, interfere with the working of the bell.
(c) The repulsive force between the two sections is small. What changes could be made to increase it?
(b) Since the magnetic field lines pass through the loop in the same direction, the two sections repel each other.
(b) How can you reverse the direction of rotation of the armature?
(c) How can you increase the speed of rotation of the motor?
(a) The coil rotates because equal and opposite forces act on its arms which from a couple.
(b) The direction of rotation of armature can be reversed by interchanging the connections at the terminals of the battery joined tot he brushes of the motor.
(c) The speed of rotation of the motor can be increased by increasing the current through the coil or by increasing the number of turns in the coil and by increasing the strength of the magnetic field.
(ii) State whether the current in the coil is clockwise or anticlockwise when viewed from the end P.
(iii) State the observation in G when the coil is moved away from north pole N of the magnet keeping the magnet stationary.
(iv) State the observation in G when both the coil and the magnet are moved to right at the same speed.
(ii) The current appears anticlockwise when viewed from end A because end A will form north-pole.
(iii) The galvanometer now deflects towards left.
(iv) No deflection is observed as there is no relative motion between the magnet and the coil.
A moving coil galvanometer can be converted into a voltmeter by connecting a high resistance in series with the galvanometer.
A voltmeter is a high resistance device; hence it is connected in parallel.
- Take a coil of wire AB having a large number of turns.
- Connect the ends of the coil to a galvanometer as shown in figure.
- Take a strong bar magnet and move its north pole towards the end B of the coil.
- There is a momentary deflection in the needle of the galvanometer, say to the right. This indicates the presence of a current in the coil AB. The deflection becomes zero the moment the motion of the magnet stops.
- Now withdraw the north pole of the magnet away from the coil. Now the galvanometer is deflected toward the left, showing that the current is now set up in the direction opposite to the first.
- Place the magnet stationary at a point near to the coil, keeping its north pole towards the end B of the coil. We see that the galvanometer needle deflects toward the right when the coil is moved towards the north pole of the magnet. Similarly the needle moves toward left when the coil is moved away.
- When the coil is kept stationary with respect to the magnet, the deflection of the galvanometer drops to zero.
- Take two different coils of copper wire having large number of turns (say 50 and 100 turns respectively). Insert them over a non-conducting cylindrical roll, as shown in figure.
- Connect the coil-1, having larger number of turns, in series with a battery and a plug key. Also connect the other coil-2 with a galvanometer as shown.
- Plug in the key. Observe the galvanometer. We will observe that the needle of the galvanometer instantly jumps to one side and just as quickly returns to zero, indicating a momentary current in coil-2.
- Disconnect coil-1 from the battery. We will observe that the needle momentarily moves, but to the opposite side. It means that now the current flows in the opposite direction in coil-2.
(b) Introducing an iron bar in the tube, will increase the amount of induced current and the galvanometer will show a greater deflection.
(a) Use the values given in the diagram to calculate the turns ratio for the transformer and connections, labeling all parts of the diagram.
(b) If a current of 2 A is taken from the output, calculate the current in the input circuit (Assume the transformer to be ideal).
(b) What would be the effect of doubling the number of turns on the coil if the speed of rotation remains unchanged?
(c) Which of the output terminals is positive if the coil is rotating in the direction shown in the diagram (anticlockwise)?
(d) What is the position of the rotating coil when p.d. across its ends is zero? Explain why p.d. is zero when the coil is at this position.
(e) Sketch a graph showing how the p.d. across the ends of the rotating coil vanes with time for an A.C. dynamo.
(f) On the same sheet of paper and vertically below the first graph using the same time scale, sketch graphs to show the effect of
(i) Doubling the speed of rotation and at the same time keeping the field and the number of turns constant,
(ii) Doubling the number of turns on the coil and at the same time doubling the speed of rotation of the coil, keeping the speed constant.
(b) Increasing the number of turns will increase the current through the coil.
(c) Terminal X will be positive.
(d) When the plane of the coil is normal to the magnetic field, the magnetic flux linked with the coil is maximum and the p.d. across its ends is zero.
(a) The no. of turns in the secondary is doubled?
(b) The part X of the transformer is removed?
(c) The core of the transformer is made out of copper?
(d) The A.C. supply is replaced by D.C.?
(a) Brightness of bulb will increase because increasing the number of turns in the secondary will increase the change in magnetic flux linked with the coil.
(b) Part X is the core of the transformer is removed, it shall become an open core and there shall be magnetic flux link loss; i.e. the entire magnetic field lines produced by the primary shall not be linked with the secondary.
(c) If the core of the transformer is made of copper due to the formation of eddy currents a lot of energy shall be lost.
(d) A transformer cannot be used with direct current (d.c.) since its working is based on the principle that when there is a change of magnetic field lines due to varying current of same in one coil, an induced varying current of same frequency flows in the other coil. If the current in one coil is constant (i.e. d.c.), no induced current will flow in the other coil since there will be no change in the magnetic field lines linked with the coil.
(a) The secondary voltage,
(b) The secondary current, assuming 100% efficiency.
Since, the number of turns in the primary is more than the no. of turn in the secondary it is a step - down transformer.
- The core of the transformer is laminated which prevents the formation of eddy currents.
- A closed soft-iron core is used which reduces the magnetic field link loss and hysteresis loss.
(a) Electric bell ______.
(b) Electromagnet ______.
(c) D.C. motor ______.
(d) A. C. generator______.
(e) Transformer______.
(b) core- soft iron
(c) core- soft iron, magnet - steel
(d) core- soft iron, magnet - steel
(e) core-soft iron
Case I: In parallel,
total resistance, RP = (r +1) Ω
total current = 1.2A
∴ e = 1.2 (r +1) ...(i)
Case II: In series,
total resistance, RS = (r + 4)Ω
total current = 0.4A
e = 0.4 (r + 4) ...(ii)
From (i) and (ii)
1.2 (r +1) = 0.4 (r + 4)
or, 3 (r +1) = (r + 4)
or, 3r + 3 = r + 4
or, r =0.5Ω
Putting this value of r in (ii) we get:
e = 0.4( 0.5 + 4)
or, e = 1.8 V
∴ r = 0.5 Ω and e = 1.8 V
The part drawn to complete the diagram the core.
Material of core is soft- iron.
It is a step down transformer because the number of turns in the primary is more than the number of turns in the secondary.
A transformer cannot be used with direct current (d.c.) since its working is based on the principle that when there is a change of magnetic field lines due to varying current of same in one coil, an induced varying current of same frequency flows in the other coil. If the current in one coil is constant (i.e. d.c.), no induced current will flow in the other coil since there will be no change in the magnetic field lines linked with the coil.