A long insulated wire is stretched along the x-axis. A current of 3.2 A flows in

Question

A long insulated wire is stretched along the x-axis. A current of 3.2 A flows in this wire in the positive x-direction.

Another long insulated wire is stretched along the y-axis. It carries a current of 7.7 A in the negative y-direction.

What is the magnitude of the magnetic field at the point (x=8.8cm, y=5.8cm)? The answer may be given in the units of mT or uT.

The answer should be positive if the direction of the magnetic field is up (in the positive z-direction), and negative if the direction of the magnetic field is down.

Explanation / Answer

at point (x=8.8 cm, y = 5.8 cm)

magnetic filed due the wire parallel to x axis,

B1 = mue*I1/(2*pi*y)

= 4*pi*10^-7*3.2/(2*pi*0.058)

= 1.1*10^-5 T (out of the page)

magnetic filed due the wire parallel to y axis,

B2 = mue*I2/(2*pi*x)

= 4*pi*10^-7*7.7/(2*pi*0.088)

= 1.75*10^-5 T (in to the page)

Bnet = B1 - B2

= (1.1 - 1.75)*10^-5

= -6.5*10^-6 T

= -6.5 micro T

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