Two long parallel wires carrying currents $8$A and $15$A in opposite directions are placed at a distance of $7$ cm from each other. A point P is at equidistant from both the wires such that the lines joining the point P to the wires are perpendicular to each other. The magnetic field at P is ___ $\times 10^{-6}$ T. (Given: $\sqrt{2} = 1.4$, $μ_0 = 4π\times 10^{-7}$ SI unit)

Question

A circular loop of radius 0.2 m carries a current of 4 A. What is the magnetic field at a point on the axis of the loop at a distance 0.2 m from the center?

Answer 1

Step 1: Use components
Place P at the origin with wire 1 along one axis and wire 2 along the other. $\vec B_1$ points along the second axis and $\vec B_2$ along the first axis, with magnitudes $32\times10^{-6}$ and $60\times10^{-6}$ T.
The resultant magnitude is $\sqrt{32^2+60^2}=\sqrt{4624}=68$ in units of $10^{-6}$ T.

Final Answer:
Option (C). \[ \boxed{\text{(C)}} \]

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The Correct Option is C

Solution and Explanation

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