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Capacitance (A-level only)

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Question 48

A parallel-plate capacitor with a solid dielectric of relative permittivity εr=4.0\varepsilon_r = 4.0εr​=4.0 completely filling the space between its plates is connected to a DC power supply and fully charged. The capacitor is then isolated from the supply.

The solid dielectric slab is subsequently removed, leaving air (εr≈1.0\varepsilon_r \approx 1.0εr​≈1.0) between the plates, while the plate separation is simultaneously tripled.

If the initial electric field strength between the plates was EiE_iEi​, what is the final electric field strength EfE_fEf​?

12Ei12 E_i12Ei​

4Ei4 E_i4Ei​

43Ei\frac{4}{3} E_i34​Ei​

13Ei\frac{1}{3} E_i31​Ei​

Capacitance (A-level only) Questions

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