Capacitance is one of the central concepts in electrostatics. Understanding its meaning and the difference between its definition and the ways of calculating capacitance can be challenging at first. This tutorial is meant to help you become more comfortable with capacitance. Recall the fundamental formula for capacitance: C = Q/AVC, where C' is the capacitance in farads, Q is the charge stored on the plates in coulombs, and AVC is the potential difference (or voltage) between the plates. In the following problems it may help to keep in mind that the voltage is related to the strength of the electric field E and the distance between the plates, d, by AVc = Ed.

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Item 8
Learning Goal:
To review the meaning of capacitance and ways of changing the
capacitance of a parallel-plate capacitor.
Capacitance is one of the central concepts in electrostatics. Understanding
its meaning and the difference between its definition and the ways of
calculating capacitance can be challenging at first. This tutorial is meant to
help you become more comfortable with capacitance. Recall the
fundamental formula for capacitance:
C = Q/AVC,
where C is the capacitance in farads, Q is the charge stored on the plates
in coulombs, and AVC is the potential difference (or voltage) between the
plates. In the following problems it may help to keep in mind that the voltage
is related to the strength of the electric field E and the distance between the
plates, d, by
AVc = Ed.
Part A
What property of objects is best measured by their capacitance?
the ability to conduct electric current
the ability to distort an external electrostatic field
the ability to store charge
Submit
Part B
Consider an air-filled charged capacitor. How can its capacitance be increased?
► View Available Hint(s)
Request Answer
O Increase the charge on the capacitor.
O Decrease the charge on the capacitor.
Increase the spacing between the plates of the capacitor.
Decrease the spacing between the plates of the capacitor.
Increase the length of the wires leading to the capacitor plates.
Submit
Part C
Consider a charged parallel-plate capacitor. How can its capacitance be halved?
Check all that apply.
Double the charge.
Double the plate area.
O Double the plate separation.
Halve the charge.
Halve the plate area.
O Halve the plate separation.
Transcribed Image Text:Item 8 Learning Goal: To review the meaning of capacitance and ways of changing the capacitance of a parallel-plate capacitor. Capacitance is one of the central concepts in electrostatics. Understanding its meaning and the difference between its definition and the ways of calculating capacitance can be challenging at first. This tutorial is meant to help you become more comfortable with capacitance. Recall the fundamental formula for capacitance: C = Q/AVC, where C is the capacitance in farads, Q is the charge stored on the plates in coulombs, and AVC is the potential difference (or voltage) between the plates. In the following problems it may help to keep in mind that the voltage is related to the strength of the electric field E and the distance between the plates, d, by AVc = Ed. Part A What property of objects is best measured by their capacitance? the ability to conduct electric current the ability to distort an external electrostatic field the ability to store charge Submit Part B Consider an air-filled charged capacitor. How can its capacitance be increased? ► View Available Hint(s) Request Answer O Increase the charge on the capacitor. O Decrease the charge on the capacitor. Increase the spacing between the plates of the capacitor. Decrease the spacing between the plates of the capacitor. Increase the length of the wires leading to the capacitor plates. Submit Part C Consider a charged parallel-plate capacitor. How can its capacitance be halved? Check all that apply. Double the charge. Double the plate area. O Double the plate separation. Halve the charge. Halve the plate area. O Halve the plate separation.
Part D
Consider a charged parallel-plate capacitor. Which combination of changes would quadruple its capacitance?
Double the charge and double the plate area.
O
Double the charge and double the plate separation.
O Halve the charge and double the plate separation.
Halve the charge and double the plate area.
Halve the plate separation and double the plate area.
Double the plate separation and halve the plate area.
Submit Request Answer
Transcribed Image Text:Part D Consider a charged parallel-plate capacitor. Which combination of changes would quadruple its capacitance? Double the charge and double the plate area. O Double the charge and double the plate separation. O Halve the charge and double the plate separation. Halve the charge and double the plate area. Halve the plate separation and double the plate area. Double the plate separation and halve the plate area. Submit Request Answer
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