2.How far apart are two charges (A 10pC and B 12pC) if the electric potential me

Question

2.How far apart are two charges (A 10pC and B 12pC) if the electric potential measured at point Cmidway between them is 10 V? (a) 2 × 10-5 m (c) 4 x 10-4 m 3.The amount of work required to move a charge in an electric field depends: (a) Only on the change in potential and not the path traveled. (b) On both the change in potential and the path traveled. (c) Only on the path traveled and not the change in potential. (d) On neither the path traveled nor the change in potential. (b) 2 x 105 m (d) 4 x 10 m

Explanation / Answer

2.

Electric potential at a distance r from point charge = kq/r

k = 9 x 109 Nm2/C2

Let the distance netween charges be y, from superposition principle,

At midway, electric potential = (kq1 / 0.5y) + (kq2 / 0.5y )= 10 V

With given, q1 = 10 x 10-6 C and q2 = 12 x 10-6 C

Solving for y gives, y = 3.96 x 104 m

Thus option 'd' is correct.

3. Option 'a' is correct.

Thank you

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