Question

There is a circuit diagram in which capacitors, resistors and battery are given. Then choose the correct option(s) (Assume initially all the capacitors are uncharged).

• A. At steady state, charge on capacitor $A$ is zero
• B. At steady state, charge on capacitor $B$ is zero
• C. At steady state, charge on capacitor $B$ is $40\mu C$
• D. Electric current in $2\Omega$ resistor is $5\text{A}$

Answer 1

Answer: (A), (C)

The correct options are
A At steady state, charge on capacitor $A$ is zero
C At steady state, charge on capacitor $B$ is $40\mu C$

At steady state current through capacitors is zero. Hence current through each branch of the circuit is zero.

Potential at each point in circuit can be written as
As potential cross $2\mu F$ is zero, charge across the capacitor is zero.
As potential cross $4\mu F$ is $10\text{V}$, charge across the capacitor is $q=CV=40\mu C$.