The figure shows two parallel, straight wires that are very long. The wires are

Question

The figure shows two parallel, straight wires that are very long. The wires are separated by a distance of

0.063 m

and carry currents of

I1 = 17 A

and

I2 = 7.7 A.

(a) Find the magnitude and direction of the force that the magnetic field of wire 1 applies to a 1.5-m section of wire 2 when the currents have opposite directions.

(b) Find the magnitude and direction of the force that the magnetic field of wire 1 applies to a 1.5-m section of wire 2 when the currents have the same directions.

Explanation / Answer

A. Magnetic force on the section of wire 2

F = I2*L*B*sinA

magnetic field produced by current in wire 1

Magnetic field B = (uo*I1/(2*pi*r))

F = I2*L*(uo*I1/(2*pi*r))*sinA

A. F = 7.7*1.5*(4*pi*10^-7*17/(2*pi*0.063))*sin90 = 6.23*10^-4 N

direction by right hand rule

away from wire 1

B. Force will be same F = 6.23*10^-4 N

Direction will be towards wire 1

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