In an electric field the work done in bringing a 2 coulomb charge from infinity to a point A is 10 joules and in bringing the same charge to same another point B is 20 joules. Find the potential difference between two point A and B. What would be the work done if the same charge is brought directly from A to B ?
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W = 10 j
Q = 2 c
V of point A ,
VA = 10 J / 2C = 5V
Given work done = 20 Joule
Charge = 2 coulomb
Potential of point A VB = 20 J / 2C = 10V
Potential differences between two point A and B is
V = VB - VA
= 10V - 5V = 5V
Work done directly from A to B.
W= V X Q
= 5V × 2C
10 Joule
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