Two very long , straight and insulated wires are kept at 90^{\circ} angle from each other in xy-plane as shown in the figure.

These wires carry current of equal magnitude I, whose directions are shown in the figure. The net magnetic field at point P will be:

 

  • Option 1)

    Zero

  • Option 2)

    -\frac{\mu_{0}I}{2 \pi d}\left (\hat x+\hat y \right )

  • Option 3)

    \frac{+\mu_{0}I}{ \pi d}\left (\hat z \right )

  • Option 4)

    \frac{\mu_{0}I}{2 \pi d}\left (\hat x+\hat y \right )

 

Answers (1)

 

For Infinite Length -

\phi_{1}=\phi_{2}=90^{\circ}

B=\frac{\mu_{o}}{4\pi}\:\frac{2i}{r}\:

- wherein

 

 

B_{1}=\frac{\mu_{0}I}{2y}\hat{k}

B_{2}=\frac{\mu_{0}I}{2y}(-\hat{k})

B=\frac{\mu_{0}I}{2y}-\frac{\mu_{0}I}{2x}=0 \left ( x=y=d \right )


Option 1)

Zero

Option 2)

-\frac{\mu_{0}I}{2 \pi d}\left (\hat x+\hat y \right )

Option 3)

\frac{+\mu_{0}I}{ \pi d}\left (\hat z \right )

Option 4)

\frac{\mu_{0}I}{2 \pi d}\left (\hat x+\hat y \right )

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