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Grade 10Magnetism

Two parallel straight long conducting wires which are placed at a distance R from each other are carrying equal currents I in opposite directions. The value of magnetic induction at a point situated at a point situated X from one wire in between the wires will be..?

Sreedharan Unni

8 Years agoGrade 10

1 Answer

Eshan

8 Years ago

Dear student,

Magnetic field at the point due to one of the wires= $B_1=\dfrac{\mu_0I}{2\pi x}$

Distance of second wire from the point= $R-x$
Hence magnetic field at the same point due to the other wire= $B_2=\dfrac{\mu_0 i}{2\pi (R-x)}$
The direction of this magnetic field wil be same as that of first wire.
Hence $B_T=B_1+B_2=\dfrac{\mu_0i}{2\pi}(\dfrac{1}{x}+\dfrac{1}{R-x})$

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