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C0 is the capacitance of parallel plate capacitor with air as dielectric (as in figure (a)). If, half of the entire gap as shown in figure (b) is filled with a dielectric of permittivity ∈r, the expression for the modified capacitance is
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C0 (1 + ∈r) 2
- (C0 + ∈r)
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C0 ∈r 2
- C0(1 + ∈r)
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Correct Option: A
| C0 = | ||
| d |
Now C = C1 + C2
| ∴ C = | + | |||
| d | d |
| = | + | |||
| 2d | 2d |
| C = | (1 + ∈r) | |
| 2d |
| C = | (1 + ∈r) | |
| 2 |
| (∵ C0 = | ) | |
| d |
