A) 1.6 \[\mu F\]
B) 3.2 \[\mu F\]
C) 4.2 \[\mu F\]
D) 8.4 \[\mu F\]
Correct Answer: A
Solution :
[a] In parallel combination, \[{{C}_{1}}+{{C}_{2}}=10\mu F\] When connected across 1 V battery, then \[\frac{{{U}_{1}}}{{{U}_{2}}}=\frac{1}{4}\Rightarrow \frac{{{C}_{1}}}{{{C}_{2}}}=\frac{1}{4}\] \[\therefore {{C}_{2}}=8\mu F\] \[{{C}_{1}}=2\mu F\] \[\therefore \] In series combination, \[{{C}_{equivalent}}=\frac{{{C}_{1}}{{C}_{2}}}{{{C}_{1}}+{{C}_{2}}}=\frac{16}{10}=1.6\mu F\]You need to login to perform this action.
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