3. Consider two charges, q1 q and q2 q, separated by a distance d. a) If I were

Question

3. Consider two charges, q1 q and q2 q, separated by a distance d. a) If I were to double the charge q2 q2 E 2q), what happens to the force on q1? On q2 b) Considering the original situation, what would happen to the force on q1 if I were to double the separation distance between them? On q? c) Again considering the original situation, what would happen if I were to reduce the separation to one quarter the original distance and decrease each charge to q, what would happen to the force on q1? On q2? 4. Consider two charges, q1 located at the origin and q2 located a distance d to the right of the origin as shown below. q1 q2 a) If q q2 is it possible to place a charge somewhere on the x-axis such that the force would be zero? This can be done without any math. Try drawing vectors. b) If q1 and g2 are equal in magnitude and opposite in sign is it possible to place a charge somewhere on the x-axis such that the force would be zero? This can be done without any math. Try drawing vectors. c Charge q 4HC and q2 2HC and they are separated by a distance of 10cm. Where on the x-axis could I place a charge of l HC such that the net force on the 1HC charge due to charge q1 and q2 would be zero? (excluding infinity as an answer

Explanation / Answer

3. (A) F = k q1 q2 / d^2

now q2 -> 2q2

hence F - > 2F

force on both charge will get doubled.

(B) now d -> 2d

then F -> F/2

hence force on both of charge will get halved.

(C) q -> q/2

and d - > d/4

F -> F(4 / (2 x 2 ) ) -> F

so force will remain same (unchanged)

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