Question

In the CGS system, \(\frac {1}{\varepsilon_o}\) is replaced by _______ if k is the dielectric constant of the medium.

(a) \(\frac {4\pi}{k}\)

(b) \(\frac {2\pi}{k}\)

(c) \(\frac {1}{k}\)

(d) 1

This question was posed to me in my homework.

This question is from Gauss’s Law topic in division Charges and Fields of Physics – Class 12

Answer 1

The correct choice is (a) \(\frac {4\pi}{k}\)

Best explanation: In the SI system, Gauss law states that flux= (\(\frac {1}{\varepsilon_o}\))*electric charge. But is the CGS system, the law states that, flux= \((\frac {4\pi}{k})\)*electric charge [where k is the dielectric constant of the medium]. Therefore we have to replace (\(\frac {1}{\varepsilon_o}\)) with (\(\frac {4\pi}{k}\)).