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Physics - Magnetism Question with Solution | TestHub

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

PhysicsEasysingle choice

A current $i$ is uniformly distributed over the cross-section of a long hollow cylindrical wire of inner radius $R_{1}$ and outer radius $R_{2}$ . Magnetic field $B$ varies with distance from the axis of the cylinder as

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Answer:

Solution:

Using Ampere's circuital law

$B = 0$ for $r \leq R_{1}$

$B = \frac{μ_{0} i}{2 π (R_{2}^{2} - R_{1}^{2})} (\frac{r^{2} - R_{1}^{2}}{r})$

For $R_{1} \leq r \leq R_{2}$

and $B = \frac{μ_{0}}{2 π} \frac{i}{r}$ $r \geq R_{2}$

The corresponding $B - r$ graph will be as shown in

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

⏱ 2mℹ️ Source: PYQ_2020

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