The space between the plates of a parallel plate capacitor of capacitance
is filled with three dielectric slabs of identical size as shown in figure. If the dielectric constants of the three slabs are
and
then find the new capacitance
Text Solution
Verified by ExpertsA
Consider each one third of the assembly as a separate capacitor. The three positive plates are connected together at point
and the three negative plates are connected together at point
. Thus, the three capacitors are joined in parallel. As the plate area is one third of the original for each part, the capacitances of these parts will be
and
. The equivalent capacitance is, therefore,

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