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
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.
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