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Three point charges lie at the vertices of an equilateral triangle as shown. Charges #2 and #3 make up an electric dipole.The net electric torque that Charge #1 exerts on the dipole isSelect one:a.not enough information given to decideb.clockwise.c.zero.d.counterclockwise.Clear my choice

Question

Three point charges lie at the vertices of an equilateral triangle as shown. Charges #2 and #3 make up an electric dipole.The net electric torque that Charge #1 exerts on the dipole isSelect one:a.not enough information given to decideb.clockwise.c.zero.d.counterclockwise.Clear my choice

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Solution

Without a diagram, it's difficult to provide a precise answer. However, I can give a general explanation.

The electric torque on a dipole in a uniform electric field is given by the equation:

τ = pEsinθ

where: τ is the torque, p is the dipole moment (which is the product of the charge and the separation distance), E is the electric field strength, and θ is the angle between the dipole moment and the electric field.

In this case, if the electric field produced by Charge #1 is uniform across the dipole (which would be the case if Charge #1 is much farther away from the dipole than the separation distance of the dipole), then the net electric torque that Charge #1 exerts on the dipole would be zero. This is because the forces exerted by Charge #1 on Charges #2 and #3 would be equal in magnitude but opposite in direction, resulting in no net torque.

However, if the electric field produced by Charge #1 is not uniform across the dipole (which would be the case if Charge #1 is close to the dipole), then the net electric torque that Charge #1 exerts on the dipole would not be zero. The direction of the torque (clockwise or counterclockwise) would depend on the relative positions of the charges and the signs of the charges.

Without more information (such as a diagram showing the relative positions of the charges and the signs of the charges), it's impossible to say for certain what the net electric torque would be. So, the most likely answer is (a) not enough information given to decide.

This problem has been solved

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