Three particles, each having a charge of 10μC are placed at the corners of an equilateral triangle of side 10 cm. Calculate the electrostatic force on a charge 5nc placed at the centroid of the triangle
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Explanation:
Work done in placing first charge at one of the corners=0(no other charge present)
Work done in placing second charge at the other corner=
4πϵ
0
1
r
12
q
1
q
2
Work done in placing third charge=
4πϵ
0
1
r
13
q
1
q
3
+
4πϵ
0
1
r
23
q
2
q
3
Thus the total work done=
4πϵ
0
1
r
12
q
1
q
2
+
4πϵ
0
1
r
13
q
1
q
3
+
4πϵ
0
1
r
23
q
2
q
3
=27J
Hence correct answer is option C.
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