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Physics · Electrostatic Potential
हिन्दीA dielectric slab of dielectric constant \( K \) is introduced between the plates of a charged isolated parallel plate capacitor. If the initial induced surface charge density on the dielectric faces is \( \sigma_p \) and the free surface charge density on the plates is \( \sigma \), which of the following expressions correctly represents \( \sigma_p \)?
Correct answer · Option 4
\( \sigma_p = \sigma (1 - \frac{1}{K}) \)
Explanation
From \( E = \frac{\sigma - \sigma_p}{\varepsilon_0} = \frac{\sigma}{K\varepsilon_0} \), we get \( \sigma - \sigma_p = \frac{\sigma}{K} \implies \sigma_p = \sigma (1 - \frac{1}{K}) \).
