Answer to Question #251944 in Electricity and Magnetism for zuzu

Question #251944

a) Find the distance at which you need to place a charge -16 x10-6C from a charge 10 x10-9C such that the potential energy between them is equal to 9x10-5J.

b) Find the potential energy of a system of a charge of +7 x10-6C is found at 0.06m of another charge of 20 x10-6C?



1
Expert's answer
2021-10-18T11:13:28-0400

a) Determine the potential of the second charge (10 nC):


V=kq2/r.V=kq_2/r.

The energy is


U=Vq1=kq1q2/r, r=kq1q2/U=16 m.U=Vq_1=kq_1q_2/r,\\\space\\ r=kq_1q_2/U=16\text{ m}.

b) The potential energy is


U=kq1q2r=21 J.U=\frac{kq_1q_2}{r}=21\text{ J}.


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