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ELECTRIC POTENTIAL AND CAPACITANCE

Physics
Inter Second Year
English
Short Answer Questions
Q1. Explain parallel combination of capacitors. Derive the formula for equivalent capacitance in each combination.

Answer

Ans. Parallel combination: If the first plates of all the capacitors connected to common terminal and second plates of all the capacitors connected to common
terminal and these terminals are connected to oppositeterminals of the battery

capacitors_parallel_connection

Three capacitors of capacities $C_1, C_2$ and $C_3$ are connected in parallel combination as shown in the figure.In parallel combination the potential on each capacitor will be same but charge is different.
 $q_1={V}{C_1},q_2= {V}{C_2},q_3= {V}{C_3} $and $ Q={V}{C}$.
Total charge in the parallel combination is $$Q = q_1 + q_2 + q_3$$ $${V}{C}={V}{C_1}+{V}{C_2}+ {V}{C_3} $$$$ {C}= {C_1}+ {C_2}+ {C_3} $$
The above equation represents equivalent capacitance in parallel combination