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  • Two identical coils carry equal current and have a common centre, but their planes are at right angles to each other. What is the magnitude of the resultant magnetic field at the centre if the fiel

Two identical coils carry equal current and have a common centre, but their planes are at right angles to each other. What is the magnitude of the resultant magnetic field at the centre if the field due to one coil alone is B ?

Option: 1

zero
 


Option: 2

\mathrm{B / \sqrt{2}}


Option: 3

\mathrm{\sqrt{2} B }


Option: 4

\mathrm{2 B}


Answers (1)

best_answer

The magnitude of the magnetic field at the centre due to each coil is B. Since the planes of the coils are at right angles to each other, the directions of the fields will be at right angles to each other. Therefore, the resultant field is

\mathrm{B_r=\sqrt{B^2+B^2}=\sqrt{2} B }

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Gunjita

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