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Physics - EMI/AC Question with Solution | TestHub

PhysicsEMI/ACInduced Electric FieldEasy2 minPYQ_2020

PhysicsEasysingle choice

There is a horizontal cylindrical uniform but time varying magnetic field increasing at a constant rate $\frac{d B}{d t}$ as shown. A charged particle having charge $q$ and mass $m$ is kept in equilibrium, at the top of a spring of spring constant $K$ in such a way that it is on the horizontal line passing through the center of the magnetic field as shown in figure. The compression in the spring will be

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Answer:

Solution:

$E 2 π l = π . R^{2} (\frac{d B}{d t})$
$E = \frac{R^{2}}{2 l} (\frac{d B}{d t})$
$q E + m g = K x$
$x = \frac{q . R^{2}}{K 2 l} (\frac{d B}{d t}) + \frac{m g}{K}$
x = $\frac{1}{K} [m g + \frac{q R^{2}}{2 l} (\frac{d B}{d t})]$ .

Stream:NTA_ABHYAS_NEETSubject:PhysicsTopic:EMI/ACSubtopic:Induced Electric Field

⏱ 2mℹ️ Source: PYQ_2020

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