Two point charges q and ?q are separated by a distance L. What is the magnitude of the force on a third point charge q placed at the midpoint between them?
(a) 8kq2/L2
(b) 2kq2/L2
(c) 0
(d) 4kq2/L2
(e) kq2/L2
any explanation is helpful!
let q1 = q
q2 = -q
q3 = q ( at the middle)
lert r1 = r2 = L/2
force exerted by 1 on 3
F13 = k*q1*q/r1^2 = k*q^2*4/L^2 this force is repulsive
and
is direted towards q2
fore exerted by 2 on 3
F23 = k*q2*q/r2^2 = k*q^2*4/L^2 this force is attrative and
is directed towards q2
Fnet = F13 + F23 = k*q^2*4/L^2 + k*q^2*4/L^2
Fnet = 8kq2/L2
option A
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