In an RC-circuit, a resistance of R=1.0 "Giga Ohms" is connected to an air-filled circular-parallel-plate capacitor of diameter 12.0 mm with a separation distance of 1.0 mm. What is the time constant of the system?

Explanation:

First we need to find the capacitance of the capacitor.

The capacitance is given by:

Where is the air permittivity, which is approximately 8.85 * 10^(-12)

The radius is 12/2 = 6 mm = 0.006 m, so the area of the capacitor is:

So the capacitance is:

The time constant of a rc-circuit is given by:

So we have that:

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car a and b are moving in opposite directions

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