Question 402: Electrostats & Capacitance

Question

A composite parallel plate capacitor is made up of two different dielectric materials with different thickness $$\left(t_{1}\right.$$ and $$\left.t_{2}\right)$$ as shown in figure. The two different dielectric materials are separated by a conducting foil $$\mathrm{F}$$. The voltage of the conducting foil is V.

Accepted Answer

$${{{C_1}} \over {{C_2}}} = {{3 	imes {t_2}} \over {{t_1} 	imes 4}} = {3 \over 2}$$
$${q \over {{C_1}}} = {v_1},\,{q \over {{C_2}}} = {v_2}$$
$${{{v_1}} \over {{v_2}}} = {{{C_2}} \over {{C_1}}} = {2 \over 3}$$

Electrostats & Capacitance

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