A) \[\frac{C}{2}\]
B) 2C
C) \[\frac{3C}{8}\]
D) \[\frac{4C}{5}\]
Correct Answer: B
Solution :
(b) 2C Before the metal sheet is inserted,\[C=\frac{{{\varepsilon }_{0}}A}{d}\] After the sheet is inserted, the system is equivalent to two capacitors in series, each of capacitance \[C'=\frac{{{\varepsilon }_{0}}A}{\left( d/4 \right)}=\frac{4{{\varepsilon }_{0}}A}{d}=4C\] Equivalent capacitance \[\frac{1}{{{C}_{eq}}}=\frac{1}{4C}+\frac{1}{4C}=\frac{2}{4C}\] \[{{C}_{eq}}=\frac{4C}{2}=2C\]You need to login to perform this action.
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