00:01
In this question, a parallel plate capacitor, okay, which has a capacitance value of c, and the distance between the plate is given as t and it is connected to a battery of voltage v.
00:18
Okay, and the energy stored in the capacitor is given as u.
00:23
Using all this, we need to find whether the following sentence is true or false.
00:27
In the first sentence we are given that after disconnected from battery, increasing the d value, will it increase the u value? okay? hence, the energy stored can be defined as half of q squared divided by c.
00:44
Q is the charge and c is the capacitance.
00:47
Substituting the value of capacitance we get 1 by 2 into q square divided by k, epsilon 0a divided by d, epsilon, a divided by d.
00:57
D is at the denominator of denominator, hence it goes to the numerator, we get 1 by 2 into q squared divided d divided by k epsilon a.
01:12
Hence from this we can say the energy stored is directly proportional to d such that when the d value increases, then the energy will also be increasing.
01:25
Hence the given statement is true.
01:30
In second question we are given that with the capacitor connected to battery, inserting a dielectric willing decrease the capacitance.
01:39
First let's find the relation between capacitance and dielectric.
01:42
C is equal to k epsilon or k divided by t.
01:47
Here k is the dialectry constant...