Question

In the figure below, what is the potential difference between the points A and B and between B and C respectively in steady state

• A. 100 volts both
• B. $V _ { A B } = 75$volts, $V _ { B C } = 25$volts
• C. $V _ { A B } = 25$volts, $V _ { B C } = 75$volts
• D. $V _ { A B } = 50$volts $V _ { B C } = 50$ volts

Answer 1

Answer: (C)

$V _ { A B } = 25$volts, $V _ { B C } = 75$volts

Answer 2

In steady state No current flows in the given circuit hence resistances can be eliminated

By using the formula to find potential difference in series combination of two capacitor

$\left( V _ { 1 } = \left( \frac { C _ { 2 } } { C _ { 1 } + C _ { 2 } } \right) \cdot V \right.$ and $\left. V _ { 2 } = \frac { C _ { 1 } } { C _ { 2 } + C _ { 2 } } V \right)$

; $V _ { 2 } = V _ { B C } = \left( \frac { 6 } { 2 + 6 } \right) \times 100 = 75 \mathrm {~V}$