Two square plates (l$$×$$l) and dielectric $$l2$$×$$t2$$×l arranged as shown in figure. Find the equivalent capacitance of the structure.

Correct option is 1ε0At3K+12(K+1)

Questions

Two square plates $(l \times l)$ and dielectric $(\frac{l}{2} \times \frac{t}{2} \times l)$ arranged as shown in figure. Find the equivalent capacitance of the structure.

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ε0At3K+12(K+1)

2ε0AtK+1K+3

ε0AtK+1K+3

ε0At2K+12K+3

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detailed solution

Correct option is A

We can make equivalent circuit of given system in two ways as in Figs. (a) and (b). But (b) is wrong and (a) is correct.Here C1=ε0A/2t/2=ε0AtC2=Kε0A/2t/2=Kε0At and C3=ε0A/2t=ε0A2tNow, Ceq=C1C2C1+C2+C3=ε0At3K+12(K+1)

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Two square plates (l×l) and dielectric l2×t2×l arranged as shown in figure. Find the equivalent capacitance of the structure.

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Ready to Test Your Skills?

free study material

Two square plates $(l \times l)$ and dielectric $(\frac{l}{2} \times \frac{t}{2} \times l)$ arranged as shown in figure. Find the equivalent capacitance of the structure.