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Physics - Magnetism Question with Solution | TestHub

PhysicsMagnetismBiot-savart's & Ampere's Circuital lawMedium2 minPYQ_2004

PhysicsMediumsingle choice

A circular coil of radius $R$ carries an electric current. The magnetic field due to the coil at a point on the axis of the coil located at a distance $r$ from the center of the coil, such that $r >> R$ , varies as

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Solution:

Magnetic field at a point on the axis of a loop is given by $B = \frac{μ _{0}}{4 π} \frac{2 π I R ^{2}}{( R ^{2} + r ^{2} ) ^{3/2}}$ When $r >> R$ , $B = \frac{μ _{0}}{4 π} \frac{2 π R ^{2} I}{r ^{3}} = \frac{μ _{0}}{2 π} \frac{A I}{r ^{3}} . Thus, B \propto (1/ r^{3}) .$

Stream:AIIMSSubject:PhysicsTopic:MagnetismSubtopic:Biot-savart's & Ampere's Circuital law

⏱ 2mℹ️ Source: PYQ_2004

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