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(a) A pair of wires carry 10 A of current to and from a toaster in...

(a) A pair of wires carry 10 A of current to and from a toaster in your kitchen. The wires are separated by 2 mm of insulation. What is the force per unit length between them (magnitude and direction)?
(b) A 10 cm long solenoid is made of 3 layers of wire, each wound tightly at 10 wraps per cm. What is the B-field down the center of it if you run a 5 A current into it?
(c) A 10 cm radius coil made from 100 turns of copper-wound CW lies in front of you flat on the desk. If you measure a 10 mA current in it, what is the B-field at its center (magnitude and direction)?

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Answer #1

(a) The force per unit lenght is given by:

Since the currents have the same direction, the force between the wires is atractive

(b) The B field down the center is:

(c) The B field at the center is:

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