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Q. 78

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
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Short Answer

Two 5.0-cm-diameter metal disks separated by a 0.50-mm thick piece of Pyrex glass are charged to a potential difference of 1000 V. What is (a) the surface charge density on the disks and (b) the surface charge density on the glass?

(a) the surface charge density on the disks .

(b) the surface charge density on the glass is .

See the step by step solution

Step by Step Solution

Step 1. Give information

Two 5.0-cm-diameter metal disks separated by a 0.50-mm thick piece of Pyrex glass are charged to a potential difference of 1000 V

Step 2. Finding the surface charge density on the disks

Part (a)

The capacitance of this capacitor will be given by

The charge on the capacitor will be

Substituting the first result, we get

Since we want the charge density, we have to

Numerically, this gives us

Part 3. Find the surface charge density of the glass.

Part (b)

The surface charge density in the dielectric will be

which will numerically give us

.

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