two point charges of 10C each,are placed 3 metres apart. Calculate the electric potential energy of the system.
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Answer:
Given,
q1 =q2 = 10 C,
Distance between the charges = 3m
We know,
The electric Potential energy of a system of charges is the work that has been done (=charge*potential) in bringing those charges from infinity to near each other to form the system.
U = \frac{1}{4\pi\epsilon_0}\frac{q1q2}{r}
4πϵ
0
1
r
q1q2
= \frac{9*10^{9}*10*10}{3}
3
9∗10
9
∗10∗10
= 3*10^{11} J3∗10
11
J
Thus, the electrostatic potential energy is 3*10^{11} J3∗10
11
J .
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