Two parallel plates have charges +Q+Q and −Q−Q, as shown. The magnitude of the charges is 29.7nC29.7nC, the area of each plate is A=0.0165m2A=0.0165m2, and the distance between them is d=11.63cmd=11.63cm. The plates are surrounded by air. - What is the numeric value, in picofarads, of the capacitance? - With the information given, express the potential differences across the capacitor in terms of the magnitude of thecharge on each plate, Q, and the capacitance, C. - What is the numeric value, in volts, of the potential difference between the plates? - If the area is doubled to 2A while the gap is increased to 1/4d, then what is the value, in picofarads, of the new capacitance? - What is the new value, in volts, of potential difference between the plates with the original charges, +Q and -Q, given the increased area and reduced gap of Part f?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter19: Electric Forces And Electric Fields
Section: Chapter Questions
Problem 25P
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Two parallel plates have charges +Q+Q and −Q−Q, as shown. The magnitude of the charges is 29.7nC29.7nC, the area of each plate is A=0.0165m2A=0.0165m2, and the distance between them is d=11.63cmd=11.63cm. The plates are surrounded by air.

- What is the numeric value, in picofarads, of the capacitance?

- With the information given, express the potential differences across the capacitor in terms of the magnitude of thecharge on each plate, Q, and the capacitance, C.

- What is the numeric value, in volts, of the potential difference between the plates?

- If the area is doubled to 2A while the gap is increased to 1/4d, then what is the value, in picofarads, of the new capacitance?

- What is the new value, in volts, of potential difference between the plates with the original charges, +Q and -Q, given the increased area and reduced gap of Part f?

 
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