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The area of a capacitor is divided into two equal halves and filled with two media as shown in the figure, having dielectric constants k_1 = 2 and k_2 = 4. The capacitance of the system will now be

1. 10 \mu F
2. 20 \mu F
3. 30 \mu F
4. 40 \mu F

Correct answer: 20 \mu F

Solution

Since the dielectric fills equal halves of the plate area, the two parts behave like capacitors in parallel. Their capacitances add, and with k_1 = 2 and k_2 = 4 the total comes out to 20 \mu F.

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