Question

The capacitance of a parallel plate air condenser is 2 $\mu$ F. A dielectric of constant 4 is introduced as shown in the figure to fill half the space between the parallel plates. Its capacitance now will be?

• A. $20\mu F$
• B. $3.2\mu F$
• C. $5.0\mu F$
• D. $6.4\mu F$

Answer 1

The correct option is C $5.0\mu F$

$C=2\mu F{C}^1=C_2+C_1=\frac{K{ϵ}_{0}A}{2d}+\frac{{ϵ}_{0}A}{2d}=\frac{{ϵ}_{0}A}{2d}[k+1]=\frac{2}{2}[4+1]C^1=5\mu F$