The drawing shows a positive point charge
+q_(1)
, a second point charge
q_(2)
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
q_(1)
and the spot
P
. With
q_(2)
present, the magnitude of the net electric field at
P
is twice what it is when
q_(1)
is present alone. Given that
q_(1)=+0.20\mu C
, determine the magnitude
|q_(2)|
when
q_(2)
is (a) positive
|a_(2)|=

◻

\mu C
and (b) negative.
|q_(2)|=

◻

\mu C

Question

The drawing shows a positive point charge

+q_(1)

, a second point charge

q_(2)

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

q_(1)

and the spot

P

. With

q_(2)

present, the magnitude of the net electric field at

P

is twice what it is when

q_(1)

is present alone. Given that

q_(1)=+0.20\mu C

, determine the magnitude

|q_(2)|

when

q_(2)

is (a) positive

|a_(2)|=

◻

\mu C

and (b) negative.

|q_(2)|=

◻

\mu C

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