3. Each of the following parts involves a comparison of the net electric force e

Question

3. Each of the following parts involves a comparison of the net electric force exerted on a positive charge +q in two different cases. a. In cases A and B shown at right there are two positive point charges +Q each a distances away from a third positive point charge +q. +q Is the net electric force on the +qcharge in case A greater than, less than, or equal to the net electric force on the +q charge Case A Case B in case B? Explain. b. In case C, two positive point charges +2Q are each a distance s away from a third +20 positive point charge +q. In case D, four positive point charges +0are each a +q distance s away from a fifth positive point +4 charge +q. (The angle a shown is the same in both cases.) +20 Case C Case D Is the net electric force on the +qcharge in case Cgreater than, less than, or equal to the net electric force on the +q charge in case D? Explain. c. In caseEa positive point charge with +e 010 is a distance s away from a third positive point charge +q. In case Ften positive point charges, each with charge +0/10, lie along an arc of radius s centered on a positive point charge +q. is the net electric force on the +qcharge Case E Case F in case E greater than, less than, or equal L to the net electric force on the +q charge in case F? Explain.

Explanation / Answer

a) let F be the for applied by the +Q charge on the +Q charge, the force will be repulsive the and direction will be in the direction on the line joining both the charges

so two forces will be acting on the left charge each of magnitude F

net Force will be given by their vector addition

Fnet = (2F^2 + 2F^2 * cos(theta))^(1/2)

where theta is the angle between two forces

since the Fnet is depended upon cos(theta)

since in first case theta is more so force will be less as cos(theta) will be less so,

force in case A will be lesser than in case B

b) in this case also since the same magnitude of charges are there so angle will play important role here

in case D upper two charges on right side will add to 2Q same as in case C's upper charge but,

in case D one Q charge will impart more force due to lesser angle so in this case force will be greater

so,

in case D force will be greater than case C

c) in case E theta is 0 so it'll be the case where the force will be maximum as cos(0) =1

so,

case E will have greater force than case F

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