Question

In an adjoining figure are shown three capacitors $C_{1}$,$C_{2}$ and $C_{3}$ joined to a battery. The correct condition will be (Symbols have their usual meanings)

• A. $Q_{1} = Q_{2} = Q_{3}$ and $V_{1} = V_{2} = V_{3} = V$
• B. $Q_{1} = Q_{2} + Q_{3}$and$V = V_{1} + V_{2} + V_{3}$
• C. $Q_{1} = Q_{2} + Q_{3}$ and $V = V_{1} + V_{2}$
• D. $Q_{2} = Q_{3}$ and $V_{2} = V_{3}$

Answer 1

Answer: (C)

$Q_{1} = Q_{2} + Q_{3}$ and $V = V_{1} + V_{2}$

Answer 2

$Q_{1} = Q_{2} + Q_{3}$ because in series combination charge is same on both the condenser and $V = V_{1} + V_{2}$ because in parallel combination $V_{2} = V_{3}.$ Hence $V = V_{1} + V_{2}$