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Problem 20.51 Two high-current transmission lines carry currents of 25.0 A and 7

ID: 3163659 • Letter: P

Question

Problem 20.51

Two high-current transmission lines carry currents of 25.0 A and 75.0 A in the same direction and are suspended parallel to each other 45.0 cm apart.

Part A

If the vertical posts supporting these wires divide the lines into straight 20.0 m segments, what magnetic force does each segment exert on the other?

Part B

Is the force found in part (A) attractive or repulsive?

Problem 20.51

Two high-current transmission lines carry currents of 25.0 A and 75.0 A in the same direction and are suspended parallel to each other 45.0 cm apart.

Part A

If the vertical posts supporting these wires divide the lines into straight 20.0 m segments, what magnetic force does each segment exert on the other?

F= N

Part B

Is the force found in part (A) attractive or repulsive?

Explanation / Answer

Here ,

I1 = 25 A

I2 = 75 A

d = 45 cm = 0.45 m

L = 20 m

magnetic force acting on each sagment = u0 * I1 * I2 * L/(2pi * d)

magnetic force acting on each sagment = 4pi *10^-7 * 25 * 75 * 20/(2pi * 0.45)

magnetic force acting on each sagment = 0.0167 N

the magnetic force acting one each wire is 0.0167 N

b)

as the current in the wire is same direction

force is attactive

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