Current Electricity

The electric field between the two parallel plates of a capacitor of 1.5 capacitance drops to one third of its initial value in 6.6 when the plates are connected by a thin wire. The resistance of this wire is . (Given, e 3 = 1.1)

The ratio of heat dissipated per second through the resistance 5 and 10 in the circuit given below is: [figure]

1. 4 : 1
2. 2 : 1
3. 1 : 2
4. 1 : 1

A wire of resistance 20 is divided into 10 equal parts. A combination of two parts are connected in parallel and so on. Now resulting pairs of parallel combination are connected in series. The equivalent resistance of final combination is .

The resistances of the platinum wire of a platinum resistance thermometer at the ice point and steam point are 8 and 10 respectively. After inserting in a hot bath of temperature 400 , the resistance of platinum wire is :

1. 10
2. 16
3. 8
4. 2

To measure the internal resistance of a battery, potentiometer is used. For R=10 , the balance point is observed at l=500 cm and for R=1 the balance point is observed at l=400 cm. The internal resistance of the battery is approximately :

1. 0.1
2. 0.3
3. 0.2
4. 0.4

Twelve wires each having resistance 2 are joined to form a cube. A battery of 6 V emf is joined across points a and c. The voltage difference between e and f is V. [figure]

An electric bulb rated 50 W–200 V is connected across a 100 V supply. The power dissipation of the bulb is:

1. 100 W
2. 50 W
3. 12.5 W
4. 25 W

Two wires A and B are made up of the same material and have the same mass. Wire A has radius of 2.0 mm and wire B has radius of 4.0 mm. The resistance of wire B is 2 . The resistance of wire A is .

The reading in the ideal voltmeter (V) shown in the given circuit diagram is : [figure]

1. 3 V
2. 10 V
3. 5 V
4. 0 V

The current in a conductor is expressed as I = 3t2 + 4t3, where I is in Ampere and t is in second. The amount of electric charge that flows through a section of the conductor during t = 1 s to t = 2 s is C.