A professor designing a class demonstration connects a parallel-plate capacitor to a battery, so that the potential difference between the plates is 275 V. Assume a plate separation of d = 1.33 cm and a plate area of A = 25.0 cm?. When the battery is removed, the capacitor is plunged into a container of distilled water. Assume distilled water is an insulator with a dielectric constant of 80.0. (a) Calculate the charge on the plates (in pC) before and after the capacitor is submerged. (Enter the magnitudes.) before Q, = v pC 457.47 after 457.47 V pC (b) Determine the capacitance (in F) and potential difference (in V) after immersion. C, = 1.33083e- v F AV, = 3.43 (e) Determine the change in energy (in nJ) of the capacitor. AU = (6.303e-8 × Write expressions for the initial and final energies, and take the difference. nJ

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A professor designing a class demonstration connects a parallel-plate
capacitor to a battery, so that the potential difference between the plates is
275 V. Assume a plate separation of d = 1.33 cm and a plate area of
A = 25.0 cm². When the battery is removed, the capacitor is plunged into a
container of distilled water. Assume distilled water is an insulator with a
dielectric constant of 80.0.
(a) Calculate the charge on the plates (in pC) before and after the capacitor
is submerged. (Enter the magnitudes.)
before
Q, =
457.47
v pC
after
Q, =
457.47
v pC
(b) Determine the capacitance (in F) and potential difference (in V) after
immersion.
C, = 1.33083e-
Av, - 3.43
(c) Determine the change in energy (in nJ) of the capacitor.
AU =
6.303e-8
Write expressions
the initial and final energies, and take the
difference. nJ
(d) What If? Repeat parts (a) through (c) of the problem in the case that
the capacitor is immersed in distilled water while still connected to the
275 V potential difference.
Calculate the charge on the plates (in pC) before and after the capacitor
is submerged. (Enter the magnitudes.)
before
Q,
457.47
pC
after
Q, =
36586
V pC
Determine the capacitance (in F) and potential difference (in V) after
immersion.
C; = 133.08
Will the capacitance be any different from what you found in part
(b)? Note capacitance depends on the geometry and the dielectric
constant, not the voltage. F
AV, = 257
Re-read the problem statement. Note the source of potential
difference remains attached to the capacitor in this case. V
Determine the change in energy (in nJ) of the capacitor.
AU = 6198.41
Write expressions for the initial and final energies, and take the
difference. Note unlike part (c), the electric potential difference remains
the same. nJ
Transcribed Image Text:A professor designing a class demonstration connects a parallel-plate capacitor to a battery, so that the potential difference between the plates is 275 V. Assume a plate separation of d = 1.33 cm and a plate area of A = 25.0 cm². When the battery is removed, the capacitor is plunged into a container of distilled water. Assume distilled water is an insulator with a dielectric constant of 80.0. (a) Calculate the charge on the plates (in pC) before and after the capacitor is submerged. (Enter the magnitudes.) before Q, = 457.47 v pC after Q, = 457.47 v pC (b) Determine the capacitance (in F) and potential difference (in V) after immersion. C, = 1.33083e- Av, - 3.43 (c) Determine the change in energy (in nJ) of the capacitor. AU = 6.303e-8 Write expressions the initial and final energies, and take the difference. nJ (d) What If? Repeat parts (a) through (c) of the problem in the case that the capacitor is immersed in distilled water while still connected to the 275 V potential difference. Calculate the charge on the plates (in pC) before and after the capacitor is submerged. (Enter the magnitudes.) before Q, 457.47 pC after Q, = 36586 V pC Determine the capacitance (in F) and potential difference (in V) after immersion. C; = 133.08 Will the capacitance be any different from what you found in part (b)? Note capacitance depends on the geometry and the dielectric constant, not the voltage. F AV, = 257 Re-read the problem statement. Note the source of potential difference remains attached to the capacitor in this case. V Determine the change in energy (in nJ) of the capacitor. AU = 6198.41 Write expressions for the initial and final energies, and take the difference. Note unlike part (c), the electric potential difference remains the same. nJ
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