Physics - Magnetism Question with Solution | TestHub

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

PhysicsEasysingle choice

A very long metallic hollow pipe of length $l$ and radius $r (< < l)$ is carrying chargeQ, uniformly distributed upon it. The pipe is rotated about its axis with constant angular speed $ω$ . The energy stored in the pipe of length $\frac{l}{100}$ is

Options:

Answer:

Solution:

$I = \frac{Q}{T} = \frac{Q ω}{2 π} \Rightarrow I' = \frac{I}{l} = \frac{Q ω}{2 π l}$
$B = μ_{0} I' = \frac{μ_{0} Q ω}{2 π l} \Rightarrow U = \frac{B^{2}}{2 μ_{0}} \times V o l u m e$
$U = \frac{1}{2 μ_{0}} \times [\frac{μ_{0}^{2} Q^{2} ω^{2}}{4 π^{2} l^{2}}] \times π r^{2} \frac{l}{100} = \frac{μ_{0} Q^{2} ω^{2} r^{2}}{800 π l}$

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

⏱ 2mℹ️ Source: PYQ_2020

Doubts & Discussion

Loading discussions...