Question

In: Physics

A 100 meter long wire carrying a current of .4 amps into the board is at...

A 100 meter long wire carrying a current of .4 amps into the board is at (-5, 0) meters and another 100-m long wire carrying a current of .6 amps out of the board is at (+3, 0) meters.

a) Find the Magnetic Force between these charges.

b) Where can a third wire be placed so that it experiences no force? Where can it be placed on the x-axis so it experiences a force of magnitude 5 μN (the wire has a current of .5 amps out of the board and is 100-m long)?

c) What is the total force (magnitude and direction) on a 100-m long wire placed at (-2, 4) meters which carries a current of .5 amps out of the board? What is the total magnetic field (magnitude and direction) at that location?

Answers Should Be:

a) F = .6 μN repulsive

b) (-21, 0) meters for 0 force,

(-4.035, 0) m & (1.635, 0) m & (-5.703, 0) m & (4.103, 0) m for 5 μΝ

c) F = 1.21 μN, θ = 2.58o above the x-axis

B = 24.2 nT, θ = 87.42o below the x-axis

Solutions

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