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### AP Unit III D

2. Forces on current carrying wires in magnetic fields

Students should understand the force exerted on a current carrying wire in a magnetic field, so they can:

- a) Calculate the magnitude and direction of the force on a straight segment of current carrying wire in a uniform magnetic field.
- b) Indicate the direction of the magnetic forces on a current carrying LOOP of wire in a magnetic field and determine how the loop will tend to rotate as a consequence of these forces.
- c) Calculate the magnitude and direction of the torque experienced by a rectangular loop of wire carrying a current in a magnetic field

x means magnetic field B going INTO paper

. means field coming out of paper

x

x

x

e

x

x

x

- ve

+ ve

Conventional Current

Direction of force given by Fleming’s Left hand Motor Rule – thuMb – Motion, First finger – field (pointing towards south), seCond finger – current

+ ve

Current in Rectangular Loops-

Which way will the loop turn?

This is the motor effect.

x

x

x

x

x

x

x

x

x

Top view

+

Side view

The force (F) on the wire is equal to the magnetic field strength B x current I x length of wire L. (F= BIL) A charge moving in a magnetic field will also undergo a force. The force F is equal to the magnetic field strength B x charge Q x velocity of charge v (F= BQv)

- What is the force on a wire of 10 meters long with a current of 2 amps in a field of 6 x 10-4 Teslas.
- What is the force on an electron in a magnetic field of 4 T traveling at 3 x 103 m/s.
- What direction will it move in.

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