Two identical charges of magnitude q rest at the positions A and B as shown. The

Question

Two identical charges of magnitude q rest at the positions A and B as shown. The electric force felt by the charge at A due to the charge at B has magnitude F. Answer each question assuming that the original situation is restored before the change described in the question (i.e., don't cumulate changes). How would the electric force felt by the charge at A change if the charge at B were doubled? Explain why you think so. How would the electric field felt by the charge at A change if the charge at B were doubled? Explain why you think so. How would the electric field felt by the charge at A change if the charge at A was doubled? Explain why you think so. Points C and D are located near a charged rod as shown. After the rod is rubbed, a 10 nC (nanocoulomb) bead at point C feels an electric force of magnitude 0.20 newtons. For each question below, explain your answer. Would the electric field felt by the bead increase, decrease, or stay the same if The charge on the bead were increased? The rod was rubbed some more, increasing its charge? The bead were moved to point D?

Explanation / Answer

1.

A)

Force on charge A due to charge on B is given as

F = k Qa Qb / r2

r = distance between the charges.

from the formula , as we double the charge Qb , F will becomes twice since F is propotional to the charge Qb

B)

electric field felt by A due to charge B is given as

E = k Qb /r2

since E is propotional to charge Qb . hence as charge is doubled , the electric field also gets twice.

c)

Electric field at A does not depend on charge Qa . hence the electric field will remain same

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