Q. A capacitor of (theoretical value) capacitance is charged by a battery of . The charging battery is disconnected and circuit is made as shown. If the switch is closed at . Which of the following options is/are correct

Current Electricity Report Error

A

At time current in the circuit is

B

At time second potential difference across capacitor is

C

At time second, potential difference across resistance is

D

At time second potential difference across resistance is

Solution:

At just after closing the switch capacitor behaves like EMF and circuit current will be

Half life time of the circuit can be given as

In half-life time all circuit parameters get halved Potential difference across capacitor will be

Current in circuit will be

Potential differences across and resistances will be

Questions from Current Electricity

1. Two sources of equal emf are connected to an external resistance . The internal resistances of the two sources are and If the potential difference across the source having internal resistance , is zero, then :

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2. In the network shown in figure, each resistance is equal to . The resistance between the points and is

3. A letter ' ' is constructed from a uniform wire with resistance per The sides of the letter are and the cross piece in the middle is long. The apex angle is The resistance between the ends of the legs is

4. The diagrams show five different ways in which currents can combine at a junction.

For which of these junctions, is the following equation correct ?

5. A battery of emf, is connected to resistances as shown in figure. The potential difference between the points and is

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