Physics: A1.4-µc point charge is placed between the plates of a parallel plate capacitor. the charge experiences a force of 0.59 n. what is the magnitude σ of the charge density on either plate of the capacitor?

A1.4-µc point charge is placed between the plates

lily0806

02.01.2022

$\sigma=3.72\times 10^{-6}\ C/m^2$

Explanation:

Given that,

Charge, $q=1.4\ \mu C=1.4\times 10^{-6}\ C$

Force experienced by the charge, F = 0.59 N

We need to find the magnitude of charge density on either plate of the capacitor. Electric field on parallel plate capacitor is given by :

$E=\dfrac{\sigma}{\epsilon_o}$

$E=\dfrac{F}{q}$

$\dfrac{F}{q}=\dfrac{\sigma}{\epsilon_o}$

$\sigma=\dfrac{F.\epsilon_o}{q}$

$\sigma=\dfrac{0.59\times 8.85\times 10^{-12}}{1.4\times 10^{-6}}$

$\sigma=3.72\times 10^{-6}\ C/m^2$

So, the charge density on either plate of the capacitor is $3.72\times 10^{-6}\ C/m^2$ . Hence, this the required solution.

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