a parallel plate capacitor of capacitance C is charged to potential V by a battery without disconnecting the battery distance between the places tripled and dielectric medium of K = 10 is introduced between the plates of the capacitor explained giving reasons how is the following affected capacitance of a capacitor charge on capacitor and energy density of the capacitor
Dear Student,
Given, the parallel plate capacitor has a capacitance C.
Let the plate area be A and the distance between the plates be d.
Then,
If the distance between the plates is tripled and a dielectric medium of K=10 is introduced, the capacitance will change irrespective of the fact whether or not it is connected to a battery. The new capacitance will be C' which is given by:
If earlier for a capacitance C, the charge across the plates is Q such that
Then, the charge developed across the capacitance C' will be
Ealier the energy density of the capacitor was
After the change the energy density would be
Regards
Given, the parallel plate capacitor has a capacitance C.
Let the plate area be A and the distance between the plates be d.
Then,
If the distance between the plates is tripled and a dielectric medium of K=10 is introduced, the capacitance will change irrespective of the fact whether or not it is connected to a battery. The new capacitance will be C' which is given by:
If earlier for a capacitance C, the charge across the plates is Q such that
Then, the charge developed across the capacitance C' will be
Ealier the energy density of the capacitor was
After the change the energy density would be
Regards