Please answer the following question 2 The two charges in fi

Please answer the following question.

2. The two charges in figure are separated by a distance d 2 cm, and Q 15 nc. Find (a) The electric potential at A, b) The electric potential at B, and (c) The electric potential difference between Band A. (d) The potential energy of the two charges 2Q2

Solution

Here ,

d = 2 cm = 0.02 m

Q = 15 nC

a) electric potential at A = k * Q/d + k * 2Q/(sqrt(2) * d)

electric potential at A = 9*10^9 * 15 *10^-9/0.02 + 9*10^9 * 2*15 *10^-9/(sqrt(2) * 0.02)

electric potential at A = 16296 V

b)

at the point B

electric potential at B = 2k * Q/d + k * Q/(sqrt(2) * d)

electric potential at B = 2*9*10^9 * 15 *10^-9/0.02 + 9*10^9 * 15 *10^-9/(sqrt(2) * 0.02)

electric potential at B = 18273 V

c)

the potential difference between A and B =VB - VA

potential difference between A and B = 18273 - 16296

potential difference between A and B = 1977 V

d)

potential energy of two charges = 2 * k * Q^2/d

potential energy of two charges = 2 * 9*10^9 * (15 *10^-9)^2/.02

potential energy of two charges = 0.0002025 J