A 8.85 ?C point charge is glued down on a horizontal frictionless table on the r

Question

A 8.85 ?C point charge is glued down on a horizontal frictionless table on the right. If is tied to a -6.65 ?C point charge by a light nonconducting wire with length 2.5 cm on the left. The charges are placed in a external, uniform electric field with magnitude 1.70 x 10^8 N/C that is directed parallel to the wire to the right toward the positive charge from the negative charge. Find the tension in the wire. What would the tension be if both charges were negative? Please go through the math and explain.

Explanation / Answer

here let the positive charge be q1 and the negative charge be -q2.

Considering the free body diagram of q1, since the body is glued, it is in equilibrium.

The force towards the left wil be the Tension (T) force and the attractive force due to -q2 (k*q1*q2/r^2) where r is the length of the wire.

towards the right, the foce due to electric field will act(q1*E)

so as it is in equilibrium T +k*q1*q2/r^2 = q1*E

after substituting, T= 657.024 N

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