Two long, parallel conductors and are separated by and carry currents and in the same…

PHYSICS · Multi-part · CBSE · Physics · Magnetic Effects of Electric Current · Magnetic Effects of Electric Current

Problem

Two long, parallel conductors

A

and

B

are separated by

6.0\,\text{cm}

and carry currents

I_A = 10\,\text{A}

and

I_B = 15\,\text{A}

in the same direction. Point

O

is exactly midway between the two conductors. Use

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

. (i) Draw a labelled diagram showing the directions of currents and the magnetic fields at point

O

due to each conductor. (ii) Calculate the magnetic field at

O

produced by conductor

A

and by conductor

B

separately. (iii) Determine the magnitude and direction of the resultant magnetic field at

O

when the currents are in the same direction. (iv) If the currents were in opposite directions, calculate the new magnitude and state the direction of the resultant magnetic field at

O

. Explain the change, if any.

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