A) \[\frac{C}{3},\,\frac{V}{3}\]
B) \[3C,\,\,\frac{V}{3}\]
C) \[\frac{C}{3},\,3V\]
D) \[3C,\,3V\]
Correct Answer: C
Solution :
[c] In series arrangement charge on each plate of each capacitor has same magnitude. |
The potential difference is distributed inversely in the ratio of capacitors i.e., |
\[V={{V}_{1}}+{{V}_{2}}+{{V}_{3}}...\] |
Here, \[V=3V\] |
The equivalent capacitance \[{{C}_{s}}\] is given by |
\[\frac{1}{{{C}_{s}}}=\frac{1}{{{C}_{1}}}+\frac{1}{{{C}_{2}}}+\frac{1}{{{C}_{3}}}+...\]\[{{C}_{s}}=\frac{C}{3}\] |
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