Current Electricity

For the network shown in the figure the value of the current i is [figure]

1. 9V35
2. 18V5
3. 5V9
4. 5V18

A 5-ampere fuse wire can withstand a maximum power of 1 watt in the circuit. The resistance of the fuse wire is

1. 0.04 ohm
2. 0.2 ohm
3. 5 ohm
4. 0.4 ohm

The electric resistance of a certain wire of iron is R. If its length and radius are both doubled, then

1. The resistance will be doubled and the specific resistance will be halved.
2. The resistance will be halved and the specific resistance will remain unchanged.
3. The resistance will be halved and the specific resistance will be doubled.
4. The resistance and the specific resistance, will both remain unchanged.

Resistances n, each of r ohm, when connected in parallel give an equivalent resistance of R ohm. If these resistances were connected in series, the combination would have a resistance in ohms, equal to

1. n2R
2. R/n2
3. R/n
4. nR

Five equal resistances each of resistance R are connected as shown in the figure. A battery of V volts is connected between A and B. The current flowing in AFCEB will be [figure]

1. 3VR
2. VR
3. V2R
4. 2VR

A 6 volt battery is connected to the terminals of a three metre long wire of uniform thickness and resistance of 100 ohm. The difference of potential between two points on the wire separated by a distance of 50 cm will be

1. 2 volt
2. 3 volt
3. 1 volt
4. 1.5 volt

When three identical bulbs of 60 watt, 200 volt rating are connected in series to a 200 volt supply, the power drawn by them will be

1. 60 watt
2. 180 watt
3. 10 watt
4. 20 watt

In India electricity is supplied for domestic use at 220 V. It is supplied at 110 V in USA. If the resistance of a 60 W bulb for use in India is R, the resistance of a 60 W bulb for use in USA will be

1. R
2. 2R
3. R/4
4. R/2

In a Wheatstone's bridge all the four arms have equal resistance R. If the resistance of the galvanometer arm is also R, the equivalent resistance of the combination as seen by the battery is

1. R/4
2. R/2
3. R
4. 2R

Two 220 volt, 100 watt bulbs are connected first in series and then in parallel. Each time the combination is connected to a 220 volt a.c. supply line. The power drawn by the combination in each case respectively will be

1. 50 watt, 100 watt
2. 100 watt, 50 watt
3. 200 watt, 150 watt
4. 50 watt, 200 watt

An electric kettle has two heating coils. When one of the coils is connected to an a.c. source, the water in the kettle boils in 10 minutes. When the other coil is used the water boils in 40 minutes. If both the coils are connected in parallel, the time taken by the same quantity of water to boil will be

1. 8 minutes
2. 4 minutes
3. 25 minutes
4. 15 minutes

Fuse wire is a wire of

1. high resistance and high melting point
2. high resistance and low melting point
3. low resistance and low melting point
4. low resistance and high melting point

For a cell terminal potential difference is 2.2 V when circuit is open and reduces to 1.8 V when cell is connected to a resistance of R = 5 . Determine internal resistance of cell (r)

1. 109
2. 910
3. 119
4. 59

Specific resistance of a conductor increases with

1. increase in temperature
2. increase in cross-section area
3. increase in cross-section and decrease in length
4. decrease in cross-section area.

Copper and silicon are cooled from 300 K to 60 K, the specific resistance

1. decrease in copper but increase in silicon
2. increase in copper but decrease in silicon
3. increase in both
4. decrease in both

The resistance of each arm of the Wheatstone's bridge is 10 ohm. A resistance of 10 ohm is connected in series with a galvanometer then the equivalent resistance across the battery will be

1. 10 ohm
2. 15 ohm
3. 20 ohm
4. 40 ohm

If specific resistance of a potentiometer wire is 10-7 m and current flow through it is 0.1 amp., cross-sectional area of wire is 10-6 m2 then potential gradient will be

1. 10-2 volt/m
2. 10-4 volt/m
3. 10-6 volt/m
4. 10-8 volt/m

The net resistance of the circuit between A and B is [figure]

1. 83
2. 143
3. 163
4. 223

A car battery of emf 12 V and internal resistance 5 10-2 , receives a current of 60 amp, from external source, then terminal potential difference of battery is

1. 12 V
2. 9 V
3. 15 V
4. 20 V

Two bulbs of (40 W, 200 V), and (100 W, 200 V). Then correct relation for their resistances

1. R40 < R100
2. R40 > R100
3. R40 = R100
4. no relation can be predicted.

The potentiometer is best for measuring voltage, as

1. it has a sensitive galvanometer and gives null deflection
2. it has wire of high resistance
3. it measures p.d. in closed circuit
4. it measures p.d. in open circuit.