Concept explainers
(i)
The order of the capacitance from greatest to smallest.
(i)
Answer to Problem 12OQ
The order of the capacitance from greatest to smallest is
Explanation of Solution
Assume
Assume
Assume
Assume
Write the equation for the capacitance.
Here,
Write the equation for the relation between the capacitance and the energy stored.
Conclusion:
In the part
In the part
In the part
Substitute
In the part
In the part
Substitute
Therefore, the order of the capacitance from greatest to smallest is
(ii)
The order of the potential difference from greatest to smallest.
(ii)
Answer to Problem 12OQ
The order of the potential difference from greatest to smallest is
Explanation of Solution
Write the equation for the potential difference.
Here,
Write the equation for the relation between the potential difference and the energy stored.
Conclusion:
In the part
In the part
Substitute
In the part
In the part
Substitute
In the part
Therefore, the order of the potential difference from greatest to smallest is
(iii)
The order of the magnitudes of the charges from greatest to smallest.
(iii)
Answer to Problem 12OQ
The order of the magnitudes of the charges from greatest to smallest is
Explanation of Solution
Write the equation for the magnitude of the charge.
Here,
Write the equation for the relation between the magnitude of the charge and the energy stored.
Rewrite the above equation to calculate the magnitude of the charge.
Conclusion:
In the part
Substitute
In the part
In the part
In the part
Substitute
In the part
Substitute
Therefore, the order of the magnitude of the charge from greatest to smallest is
(iv)
The order of the energy stored from greatest to smallest.
(iv)
Answer to Problem 12OQ
The order of the energy stored from greatest to smallest is
Explanation of Solution
Write the equation for the energy stored.
Write the equation for the relation between the energy stored and the charge.
Write the equation for the relation between the energy stored, the charge and the potential.
Conclusion:
In the part
Substitute
In the part
Substitute
In the part
Substitute
In the part
In the part
Therefore, the order of the energy stored from greatest to smallest is
Want to see more full solutions like this?
Chapter 26 Solutions
Physics for Scientists and Engineers with Modern Physics Technology Update
- 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?arrow_forwardA parallel-plate capacitor with capacitance 5.0F is charged with a 12.0-V battery, after which the battery is disconnected. Determine the minimum work required to increase the separation between the plates by a factor of 3.arrow_forwardCheck 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?arrow_forward
- Check Your Understanding Is the electrical potential energy of two point charges positive or negative if the charges are of the same sign? Opposite signs? How does this relate to the work necessary to bring the charges into proximity from infinity?arrow_forwardCheck 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?arrow_forwardSuppose 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°?arrow_forward
- Check Your Understanding What is the potential energy of Q relative to the zero reference at infinity at r2 in the above example?arrow_forwardWould electric potential energy be meaningful if the electric field were not conservative?arrow_forwardIf a proton is released from rest in an electric field, will it move in the direction of increasing or decreasing potential? Also answer this question for an electron and a neutron. Explain why.arrow_forward
- An air-filled parallel-plate capacitor with capacitance C0 stores charge Q on plates separated by distance d. The potential difference across the plates is V0 and the energy stored is PEC,0. If the capacitor is disconnected from its voltage source and the space between the plates is then filled with a dielectric of constant = 2.00, evaluate the ratios (a) Cnew/C0, (b) Vnew/V0, and (c) PEC,new/PEC,0.arrow_forwardCheck 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.arrow_forwardCheck 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.arrow_forward
- Physics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
- College PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning