A parallel-plate capacitor has capacitance 4.50 µF. (a) How much energy is stored in the capacitor if it is connected to a 9.00-V battery? 1.82e-4 Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. µ (b) If the battery is disconnected and the distance between the charged plates doubled, what is the energy stored? 3 645e-4 Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. µJ (c) The battery is subsequently reattached to the capacitor, but the plate separation remains as in part (b). How much energy is stored? 9 11e-5 Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. u)

A parallel-plate capacitor has capacitance 4.50 µF. (a) How much energy is stored in the capacitor if it is connected to a 9.00-V battery? 1.82e-4 Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. µ (b) If the battery is disconnected and the distance between the charged plates doubled, what is the energy stored? 3 645e-4 Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. µJ (c) The battery is subsequently reattached to the capacitor, but the plate separation remains as in part (b). How much energy is stored? 9 11e-5 Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. u)

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

Chapter20: Electric Potential And Capacitance

Section: Chapter Questions

Problem 38P: A variable air capacitor used in a radio tuning circuit is made of N semicircular plates, each of...

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Suppose that the capacitance of a variable capacitor can be manually changed from 100 pF to 800 pF by turning a dial, connected to one set of plates by a shaft from 0° to 180°. With the dial set at 180° (corresponding to C — 800 pF), the capacitor is connected to a 500-V source. After charging, the capacitor is disconnected from the source, and the dial is turned to 0°. If friction is negligible, how much work is required to turn the dial from 180° to 0°?
Check Your Understanding The potential difference across a 5.0-pF capacitor is 0.40 V. (a) What is the energy stored in this capacitor? (b) The potential difference is now increased to 1.20 V. By what factor is the stored energy increased?
Check Your Understanding When a cylindrical capacitor is given a charge of 0.500 nC, a potential difference of 20.0 V is measured between the cylinders, (a) What is the capacitance of this system? (b) If the cylinders are 1.0 m long, what is the ratio of their radii?
Check Your Understanding Repeat the calculations of Example 8.10 for the case in which the battery remains connected while the dielectric is placed in the capacitor.
According to UE=12C(V)2 (Eq. 27.3), a greater capacitance means more energy is stored by the capacitor, but according to UE = Q2/2C (Eq. 27.2), a greater capacitance means less energy is stored. How can both of these equations be correct?
Check Your Understanding Determine the net capacitance C of each network of capacitors shown below. Assume the C1= 1.0 pF, C2=2.0pF, C3=4.0pF, and C4=5.0 pF. Find the charge on each capacitor, assuming there is a potential difference of 12.0 V across each network.
Check Your Understanding The capacitance of a parallel-plate capacitor is 2.0 pF. If the area of each plate is 2.4 cm2, what is the plate separation?
When a Leyden jar is charged by a hand generator (Fig. 27.1, page 828), the work done by the person turning the crank is stored as electric potential energy in the jar. When a capacitor is charged by a battery, where does the electric potential energy come from?
What If? The two capacitors of Problem 13 (C1 = 5.00 F and C2 = 12.0 F) are now connected in series and to a 9.00-Y battery. Find (a) the equivalent capacitance of the combination. (b) the potential difference across each capacitor, and (c) the charge on each capacitor.
When discharging a capacitor, as discussed in conjunction with Figure 21.39, how long does it take for the voltage on the capacitor to reach zero? Is this a problem?
Check Your Understanding Continuing with Example 8.12, show that when the battery is connected across the plates the energy stored in dielectric-filled capacitor is U=kU0 (larger than the energy U0 of an empty capacitor kept at the same voltage). Compare this result with the result U=U0/K found previously for an isolated, charged capacitor.
Check Your Understanding The radius of the outer sphere of a spherical capacitor is five times the radius of its inner shell. What are the dimensions of this capacitor if its capacitance is 5.00 pF?