Questions

A long wire is bent into the shape PQRST as shown in the following figure with QRS being a semicircle with centre O and radius r metre. A current of I ampere flows through it in the direction P $\to$ Q $\to$ R $\to$ S $\to$ T . Then the magnetic induction at the point O of the figure in vacuum is

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μ0I2πr-I4r

μ0I2r

μ0I2πr+I4r

μ0I4r

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detailed solution

Correct option is C

magnetic field due to each of half infinite wire is μ0I4πr and int he same downward direction and field due to semi circle is also downward and has a value μ0I4r

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An infinitely long conductor PQR is bent to form a right angle as shown. A current f flows through PQR. The magnetic field due to this current at the point M is H₁. Now another infinitely long straight conductor QS is connected at Q so that the current is I/2 in QR as well as in QS. The current in PQ remains unchanged. The magnetic field at M is now H₂. The ratio H₁/H₂ is given by