Concept explainers
(a)
The charges on the plates of the capacitor.
(a)
Answer to Problem 54E
The charges on the plates is
Explanation of Solution
Write the expression for the capacitance.
Here,
Conclusion:
Substitute
Therefore, the charges on the plates is
(b)
The electric field between the plates of the capacitor.
(b)
Answer to Problem 54E
The electric field between the plates is
Explanation of Solution
Write the expression for the electric field is,
Here,
Conclusion:
Substitute
Therefore, the electric field between the plates is
(c)
The new charge when dielectric constant inserted between the plates.
(c)
Answer to Problem 54E
The new charge when dielectric constant inserted between the plates is
Explanation of Solution
Write the expression for the new charge when dielectric constant inserted between the plates is,
Here,
Conclusion:
Substitute
Therefore, the new charge when dielectric constant inserted between the plates is
(d)
The electric field between the plates of the capacitor on insertion of dielectric.
(d)
Answer to Problem 54E
The electric field between the plates of the capacitor on insertion of dielectric is
Explanation of Solution
Write the expression for the new potential difference when dielectric constant inserted between the plates is,
Here,
Write the expression for the electric field between the plates of the capacitor on insertion of dielectric is,
Here,
Substitute equation (IV) in (V) to get
Conclusion:
Substitute
Therefore, the electric field between the plates of the capacitor on insertion of dielectric is
Want to see more full solutions like this?
Chapter 16 Solutions
General Physics, 2nd Edition