When a particle of charge 10 mueC is brought from infinity to a point P, 2.0 mJ of work is done by the external forces. What is the potential at P?

To find the potential at point P, we can use the formula:

Potential (V) = Work done (W) / Charge (Q)

In this case, the work done by the external forces is given as 2.0 mJ and the charge is 10 μC.

First, let's convert the work done from millijoule (mJ) to joule (J) since the unit of charge is coulomb (C).

1 mJ = 10^-3 J

Therefore, 2.0 mJ = 2.0 x 10^-3 J

Now we can substitute the values into the formula:

Potential (V) = (2.0 x 10^-3 J) / (10 μC)

To divide by a microcoulomb (μC), we need to convert it to coulomb (C) by multiplying by 10^-6.

Potential (V) = (2.0 x 10^-3 J) / (10 x 10^-6 C)

Simplifying this, we get:

Potential (V) = (2.0 x 10^-3 J) / (1 x 10^-5 C)

Dividing the numerator and denominator separately, we get:

Potential (V) = 200 J/C

So, the potential at point P is 200 volts (V).