The drawing shows a positive point charge +q1, a second point charge q2 that may

Question

The drawing shows a positive point charge +q1, a second point charge q2 that may be positive or negative, and a spot labeled p, all on the same straight line. The distance d between the two charges is the same as the distance between q1 and the spot P. With q2 present, the magnitude of the net electric field at P is twice what it is when q1 is present alone. given that q1 = +0.50 uC, determine q3 when it is

a- positive and

b- negative   

----------------q2--------------d--------------q1-------------d------------.P--------------

Explanation / Answer

let,

q1=0.5*10^-6 C

if q2 is positive,

use,

E1+E2=2*E1

k*q1/d^2 +k*q2/(2d)^2=2*kq1/d^2

==>

q2=4*q1

==>

q2=4*(0.5*10^-6)

q2=2*10^-6 C

q2=2uC ---->

if q2 is negative,

E1-E2=2*E1

k*q1/(2d)^2 -k*q2/(2d)^2=2*kq1/d^2

===> q2=12*q1

q2=12*(0.5*10^-6)

q2=6*10^-6 C

q2=6 uC -------------->

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