Concept explainers
(a)
The charge on the plates, electric field between the plates and the energy stored in the parallel plate capacitor with air in between.
(a)
Answer to Problem 83P
The charge on the capacitor is
Explanation of Solution
The area of the plate is
Write the expression for capacitance
Here,
Substitute
Thus, the capacitance of the capacitor is
Write the expression for charge stored on each plate of the capacitor
Here,
Substitute
Thus, the charge on the capacitor plates with the air in-between is
Write the expression for electric field
Here,
Substitute
Thus, the electric field between the parallel plates is
Write the expression for energy stored in the capacitor
Here,
Substitute
Thus, the energy stored on the capacitor with the air inside is
(b)
The charge on the plates, the electric field, the potential difference between them and the energy stored in the capacitor after introducing a slab of strontium titanate.
(b)
Answer to Problem 83P
After introducing strontium titanate between the plates, the charge on the capacitor is
Explanation of Solution
The dielectric constant of the strontium titanate is
Since the battery is still connected to the plate, the potential difference doesn’t change and hence it is
Substitute
Thus, the capacitance of the capacitor is
Substitute
Thus, the charge on the capacitor plates is
Substitute
Thus, the electric field between the parallel plates is
Substitute
Thus, the energy stored on the capacitor is
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