If the dielectric constant of a substance is $K=\frac{4}{3}$, then the electric susceptibility…

If the dielectric constant of a substance is $K=\frac{4}{3}$, then the electric susceptibility $\psi_{\mathrm{e}}$ is
  1. $\frac{\varepsilon_0}{3}$
  2. $3\ \varepsilon_0$
  3. $\frac{4}{3} \varepsilon_0$
  4. $\frac{3}{4} \varepsilon_0$

Solution

The dielectric constant permittivity and susceptibility are relative as, $\begin{aligned} & K=1+\frac{\chi_e}{\varepsilon_0} \Rightarrow \frac{4}{3}=1+\frac{\chi_e}{\varepsilon_0} \\ & \Rightarrow \chi_e=\varepsilon_0\left(\frac{4}{3}-1\right) \\ & \Rightarrow \quad \chi_e=\frac{\varepsilon_0}{3} \end{aligned}$ The electric susceptibility, $\chi_e=\frac{\varepsilon_0}{3}$

Asked in: AP EAMCET 2015

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