Question

The charge on capacitor in two different RC circuits 1 and 2 are plotted as shown in figure. Choose the correct statement(s) related to the two circuits.

• A. Both the capacitors are charged to the same magnitude of charge.
• B. The emf's of cells in both the circuits are equal.
• C. The emf's of the cells must be different.
• D. The emf of cell 1 is greater than emf of cell 2.

Answer 1

Answer: (A)

Both the capacitors are charged to the same magnitude of charge.

Given that: $q_{max}=q_{01}=q_{02}$

Hence, both capacitors are charged up to same magnitude of charge.
So, $C_1{V}_1=C_2{V}_2$..... (i)
Time constant.$=RC$
From graph,
$C_2$ is taking more time to charge
So, $R_2{C}_2>R_1{C}_1$...... (ii)
From (i) and(ii) we can't say anything about $V_1$ and $V_2$.
$V_1$ can be greater than $V_2$ ot it can be less than $V_2$.