A dipole consists of two opposite charges (q and -q) separated by a fixed distan

Question

A dipole consists of two opposite charges (q and -q) separated by a fixed distance d. The dipole is placed in an electric field in the +x-direction of magnitude E. The dipole axis makes an angle ? with the electric field as shown in the diagram.
(a) Calculate the magnitude of the net electric force acting on the dipole. (Use any variable or symbol stated above as necessary.)
(b) Calculate the net torque acting on the dipole due to the electric forces as a function of ?. Let counterclockwise torque be positive. (Use any variable or symbol stated above as necessary.)
(c) Evaluate the net torque for ? = 30.6°, and ? = 90°. Let q = 2.9 µC, d = 7.0 cm, and E = 2.0 104 N/C.

Explanation / Answer

1) The net electric force acting on the dipole is 0 due to forces of equal and opposite (cancelling) fields produced by each end of the dipole.

2) = x E = Esin() .

=qd E is the magnitude of the electric field. is the angle between the dipole and the E field.

3) =Esin() = (qd)(E)sin()

1st scenario: =(2.9e-6 x .07)(2e4)(sin(30.6)) ------> use degree mode and these exact numbers. e means 10^of the next number

2nd scenario: =(2.9e-6 x .07)(2e4)(sin(90)) -----> use exact numbers

ADD DIAGRAM BECAUSE I AM NOT EXACTLY SURE WHAT THE SECOND QUESTION IS ASKING!!!

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