Concept explainers
(a)
The charge on the plates.
(a)
Answer to Problem 59E
The charge on the plates is
Explanation of Solution
Write the expression for the capacitance.
Here,
Write the expression for the capacitance.
Here,
Solve (I) and (II) for
Conclusion:
Substitute
Therefore, charge on the plates is
(b)
The energy stored in the capacitor.
(b)
Answer to Problem 59E
The energy stored in the capacitor is
Explanation of Solution
Write the expression for the energy stored in the capacitor.
Here,
Solve for
Conclusion:
Substitute
Therefore, the energy stored in the capacitor is
(c)
The energy and potential difference of the capacitor under the insertion of dielectric slab.
(c)
Answer to Problem 59E
The energy and potential difference of the capacitor under the insertion of dielectric slab are
Explanation of Solution
Write the expression for the capacitance under the insertion of dielectric slab is,
Here,
Write the potential difference for the capacitance under the insertion of dielectric slab.
Here,
Write the expression for the energy stored in the capacitor under the insertion of dielectric slab.
Here,
Conclusion:
Substitute
Substitute
Substitute
Therefore, the energy and potential difference of the capacitor under the insertion of dielectric slab are
(d)
The explanation for the change.
(d)
Answer to Problem 59E
The energy stored reduces by the factor
Explanation of Solution
Rearrange the equation (II) to get
Write the energy stored in the capacitor of medium dielectric constant.
Write the energy stored in the capacitor of medium dielectric constant using (X).
Here,
Conclusion:
Solve the equation (X) and (XI).
Therefore, the energy stored reduces by the factor
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Chapter 16 Solutions
General Physics, 2nd Edition
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