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Solved: A constant potential difference of 12 V is
Chapter 24, Problem 42E(choose chapter or problem)
Problem 42E
A constant potential difference of 12 V is maintained between the terminals of a 0.25-\(\mu \mathrm{F}\), parallel-plate, air capacitor. (a) A sheet of Mylar is inserted between the plates of the capacitor, completely filling the space between the plates. When this is done, how much additional charge flows onto the positive plate of the capacitor (see Table 24.1)? (b) What is the total induced charge on either face of the Mylar sheet? (c) What effect does the Mylar sheet have on the electric field between the plates? Explain how you can reconcile this with the increase in charge on the plates, which acts to increase the electric field.
Equation Transcription:
Text Transcription:
uF
Questions & Answers
QUESTION:
Problem 42E
A constant potential difference of 12 V is maintained between the terminals of a 0.25-\(\mu \mathrm{F}\), parallel-plate, air capacitor. (a) A sheet of Mylar is inserted between the plates of the capacitor, completely filling the space between the plates. When this is done, how much additional charge flows onto the positive plate of the capacitor (see Table 24.1)? (b) What is the total induced charge on either face of the Mylar sheet? (c) What effect does the Mylar sheet have on the electric field between the plates? Explain how you can reconcile this with the increase in charge on the plates, which acts to increase the electric field.
Equation Transcription:
Text Transcription:
uF
ANSWER:
Solution 42E
We need to first calculate the charge of the plates when the space between them is filled with air.
Then we need to do the same calculation when the space is filled with the mylar sheet. Then, we shall calculate the additional charge flowing onto the positive plate of the capacitor.
Given, potential difference
Capacitance
Therefore, charge