A) \[\frac{3}{14}\mu F\]
B) \[\frac{14}{3}\mu F\]
C) \[21\,\mu F\]
D) \[23\,\mu F\]
Correct Answer: B
Solution :
The points C and D will be at same potentials since, \[\frac{3}{6}=\frac{4}{8}\]. Therefore, capacitance of \[2\,\mu F\]will be unaffected So, the equivalent circuit can be shown as The effective capacitance in upper arm in series, is given by \[{{C}_{1}}=\frac{3\times 6}{3+6}=\frac{18}{9}\] \[=2\,\mu F\] The effective capacitance in lower arm in series, is given by \[{{C}_{2}}=\frac{4\times 8}{4+8}\] \[=\frac{32}{18}=\frac{8}{3}\mu F\] Hence, the resultant capacitance in parallel is given by \[C={{C}_{1}}+{{C}_{2}}\] \[=2+\frac{8}{3}\] \[=\frac{14}{3}\mu \,F\]You need to login to perform this action.
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