Three parallel wires each carry current I in the directions shown in the figure.
ID: 2034590 • Letter: T
Question
Three parallel wires each carry current I in the directions shown in the figure. (Figure 1) The separation between adjacent wires is d.
Calculate the magnitude of the net magnetic force per unit length on the top wire.
What is its direction?
Calculate the magnitude of the net magnetic force per unit length on the middle wire.
What is its direction?
What is its direction?
What is its direction?
Calculate the magnitude of the net magnetic force per unit length on the bottom wire.
What is its direction?
Upward Downward The force is zeroExplanation / Answer
(a)
net magnetic force per unit length on the top wire,
F = Force due to wire 1 - force due to wire 2
Force due to wire 1, F1 = uo*l^2 / 2*pi*d (upwards)
force due to wire 2, F2 = uo*l^2 / 4*pi*d (dowwnwards)
F = (uo*l^2 / 2*pi*d) - (uo*l^2 / 4*pi*d )
F = uo*l^2 / 4*pi*d
Direction is upwards.
(b)
net magnetic force per unit length on the middle wire,
F = (uo*l^2 / 2*pi*d) - (uo*l^2 / 2*pi*d)
F = 0
(c)
net magnetic force per unit length on the bottom wire,
F = (uo*l^2 / 2*pi*d) - (uo*l^2 / 4*pi*d )
F = uo*l^2 / 4*pi*d
Direction is downwards.
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