Question:

In the figure shown, the magnetic field induction as the point $O$ will be

Updated On: Apr 15, 2024
  • $\frac{\mu_{0}i}{2 \pi r }$
  • $\left(\frac{\mu_{0}}{4\pi}\right) \left(\frac{i}{r}\right) \left(\pi+2\right) $
  • $\left(\frac{\mu_{0}}{4\pi}\right) \left(\frac{i}{r}\right) \left(\pi+1\right) $
  • $\frac{\mu_{0}}{4\pi} \frac{i}{r} \left(\pi -2 \right) $
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The Correct Option is B

Solution and Explanation

Field due to a straight wire of infinite length is $\frac{\mu_{0} i}{4 \pi r}$ if the point is on a line perpendicular to its

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Concepts Used:

Faradays Laws of Induction

There are two laws, given by Faraday which explain the phenomena of electromagnetic induction:

Faraday's First Law:

Whenever a conductor is placed in a varying magnetic field, an emf is induced. If the conductor circuit is closed, a current is induced, known as the induced current.

Faraday's Second Law:

The Emf induced inside a coil is equal to the rate of change of associated magnetic flux.

This law can be mathematically written as:

\(-N {\triangle \phi \over \triangle t}\)