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Q. 21

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 738

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Short Answer

Two 3.0-cm-diameter aluminum electrodes are spaced 0.50 mm apart. The electrodes are connected to a 100 V battery.

a. What is the capacitance?

b. What is the magnitude of the charge on each electrode?

(a) The value of the capacitance is.

(b) The magnitude of the charge on each electrode is.

See the step by step solution

Step by Step Solution

Part (a) Step 1: Given Information

We need to define the capacitance.

Part (a) Step 2: Explanation

The capacitance of this type of parallel plate capacitor is given by

where is the area of the plate andis the distance between the plates. In this case

Where, is the diameter of the plate. This further given as

Using the numerical values and we get

Part (b) Step 1: Given Information

We need to define the magnitude of the charge on each electrode.

Part (b) Step 2: Explanation

On each electrode, the magnitude of the charge is given by

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