Physics

Problem

Two infinitely long, straight, parallel wires

X

and

Y

are separated by a distance

d

. They carry currents

I_X

and

I_Y

respectively in the same direction. a. (i) Derive an expression for the distance

x

from wire

X

(measured along the line joining the wires) at which the net magnetic field is zero. b. (ii) Using the expression obtained in part (i), calculate

x

when

d = 8.0\,\text{cm}

I_X = 20\,\text{A}

and

I_Y = 50\,\text{A}

. Take

\mu_0 = 4\pi \times 10^{-7}\,\text{T\,m\,A}^{-1}

. c. (iii) Is the point where the magnetic field is zero located nearer to the wire carrying the larger current or the smaller current? Give a brief qualitative reason for your answer.

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