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A capacitor is charged to a potential difference 𝑉V. If the dielectric constant 𝐾K of the dielectric material inserted between the plates is 4, the new potential difference across the plates is:a) 𝑉44V​ b) 4𝑉4Vc) 𝑉22V​ d) 𝑉V

Question

A capacitor is charged to a potential difference 𝑉V. If the dielectric constant 𝐾K of the dielectric material inserted between the plates is 4, the new potential difference across the plates is:a) 𝑉44V​ b) 4𝑉4Vc) 𝑉22V​ d) 𝑉V

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Solution

The potential difference (V') across a capacitor when a dielectric is inserted is given by the formula:

V' = V/K

where: V is the initial potential difference, K is the dielectric constant.

Given that V is the initial potential difference and K is 4, we substitute these values into the formula:

V' = V/4

Therefore, the new potential difference across the plates is V/4. So, the correct answer is a) 𝑉/4.

This problem has been solved

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