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Capacitance of A Large Van De Graaff Generator Questions

Overview

I'm working on a physics multi-part question and need the explanation and answer to help me learn.

What charge is stored in a 180.0-μF capacitor when 120.0 V is applied to it? 20.

Find the charge stored when 5.50 V is applied to an 8.00-pF capacitor. 21.

Calculate the voltage applied to a 2.00-μF capacitor when it holds 3.10μC of charge. 22.

What voltage must be applied to an 8.00-nF capacitor to store 0.160 mC of charge? 23.

What capacitance is needed to store 3.00μC of charge at a voltage of 120 V? 24.

What is the capacitance of a large Van de Graaff generator’s terminal, given that it stores 8.00 mC of charge at a voltage of 12.0 MV?



28.

Consider Earth to be a spherical conductor of radius 6400 km and calculate its capacitance. 29.

If the capacitance per unit length of a cylindrical capacitor is 20 pF/m, what is the ratio of the radii of the two cylinders? 30.

An empty parallel-plate capacitor has a capacitance of 20µF. How much charge must leak off its plates before the voltage across them is reduced by 100 V?