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Two positive point charges with charges q1 and q2 are separate by a distance of 30cm. A third positive charge qo is placed between the two charges at 8cm on the right of the charge q1. See picture. The charge qo is equal to 3 µC (micro-coulombs = 10-6 C). The Coulomb force exerted by q1 on qo is 25 N and the Coulomb force exerted by q2 on qo is 10 N. Determine the net electric field in magnitude and direction on the charge qo due to the other two charges.

User Elsni
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1 Answer

4 votes

Answer:

The magnitude of net electric is
5* 10^6\ \rm N/C from charge
q_1 to
q_2 along the line joining them.

Step-by-step explanation:

Given:

Distance between the charges =30 cm

Magnitude of charge
q_0 =3\ \rm \mu C

Force exerted by
q_1 on
q_0=25 N

Force exerted by
q_2 on
q_0=10 N

Now according to coulombs Law we have


(kq_1q_0)/(0.08^2)=25\\\\q_1=59.25*10^(-7)\ \rm C

similarly


(kq_2q_0)/(0.22^2)=10\\\\q_2=179.25*10^(-7)\ \rm C

Noe the electric field at eh position of charge
q_0 is given by

Let
E_1 be the electric field due to charge
q_1` and
E_1 bet he electric field due to charge
q_2`

then The net electric Field at the point is given by


E_(net)=E_1-E_2\\=(kq_1)/(0.08^2)-(kq_2)/(0.22^2)\\\\=(9*10^9*59.25*10^(-7))/(0.08^2)-(9* 10^9* 179.25* 10^(-7))/(0.22^2)\\\\=5* 10^6\rm N/C

The direction of electric Field is from charge
q_1 to
q_2 along the line joining them.

User Squish
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