When 1.0 × 1012 electrons are transferred from one conductor to another, a potential difference of 10V appears between the conductors. Calculate the capacitance of the two-conductor system.

Given:


n=1.0 × 1012


V= 10 V


Formula used:


1. Charge can be given by the formula



Where Q Charge on the capacitor


n number of the electrons


e electric charge of an electron =


2. The capacitance of a parallel plate Capacitor is given by



Where Q charge on the capacitor


V Voltage or potential difference


Putting the values in the formula 1, we get



Substitute Q and C in Formula 2), we get



Thus, the capacitance of the parallel plate capacitor is


So, if 1.0 × 1012 electrons are transferred between two conductors the capacitance of the parallel plate capacitor is F when a potential difference is 10V


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