Physics - Magnetism Question with Solution | TestHub

PhysicsMagnetismBiot-savart's & Ampere's Circuital lawEasy2 minPYQ_2020

PhysicsEasyinteger

A cylindrical cavity of diameter a exists inside a cylinder of diameter $2 a$ as shown in the figure. Both the cylinder and the cavity are infinity long. A uniform current density $J$ flows along the length. If the magnitude of the magnetic field at the point $P$ is given by $\frac{N}{12} μ_{0} a J$ , then the value of $N$ is

Answer:

Solution:

$B = \frac{μ_{0} (J π a^{2})}{2 π a} - \frac{μ_{0} (J π a^{2} / 4)}{2 π (\frac{3 a}{2})}$

$B = \frac{{5 μ}_{0} J a}{12} = \frac{μ_{0} N J a}{12}$

$So N = 5$

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

⏱ 2mℹ️ Source: PYQ_2020

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