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A point charge of 5 C is moved from a point of –10 V to a point of V0 volt and the work done by external force in the process is 100 J, the value of V0 is

Question

A point charge of 5 C is moved from a point of –10 V to a point of V0 volt and the work done by external force in the process is 100 J, the value of V0 is

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Solution

The work done by an external force in moving a charge from one point to another is given by the equation:

W = q * (Vf - Vi)

where: W is the work done, q is the charge, Vf is the final potential, and Vi is the initial potential.

In this case, we know that: W = 100 J, q = 5 C, Vi = -10 V, and Vf = V0 (which we're trying to find).

Substituting these values into the equation gives us:

100 J = 5 C * (V0 - (-10 V))

Solving for V0, we get:

V0 = 100 J / 5 C + 10 V V0 = 20 V + 10 V V0 = 30 V

So, the final potential (V0) is 30 volts.

This problem has been solved

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