to move 2.0uc of charge from A to B in a conductor requires a steady force of 4.0x10^-3N. Distance AB is 1.5 mm. What is the potential difference between A and B?
The work energy theorem tells you that work is the integral of force over the path the particle moves. So you have a force F, and a path of lenght l = 0.0015 m, so the work done is
W = F*l = 4x10^-3 N* 0.0015m = 6x10^-6 J
Now that energy is equal to the potential energy between point A and B adn that is given by:
W = qV where q = 2x10^-6 C and V is the potential difference. So
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Verified answer
The work energy theorem tells you that work is the integral of force over the path the particle moves. So you have a force F, and a path of lenght l = 0.0015 m, so the work done is
W = F*l = 4x10^-3 N* 0.0015m = 6x10^-6 J
Now that energy is equal to the potential energy between point A and B adn that is given by:
W = qV where q = 2x10^-6 C and V is the potential difference. So
V = W/q = 6x10^-6 N/2x10^-6 C = 3 V
Hi
the work done = potential gained.
Fd=QV
V = Fd/Q
V = 3 J/C
which you will notice is the same as volts.
potential difference, V= E*d (Electric field * distance between them)
=(F/q)*d
Calculate with the values, u will get the answer