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Physics - EMI/AC Question with Solution | TestHub

PhysicsEMI/ACMotional & Rotational EMFMedium3 minQB

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A conducting wire of mass $m$ and length $ℓ$ can slide freely on a pair of smooth, vertical rails (figure). A magnetic field $B$ exists in the region in the direction perpendicular to the plane of the rails. The rails are connected at the top end by a capacitor of capacitance $C$ . The acceleration of the wire, neglecting any electric resistance, is:

Options:

Answer:

Solution:

$m g - i ℓ B = ma$ (i)
$\frac{q}{C} = B ℓ v \Rightarrow i = \frac{d q}{d t} = B ℓ C \frac{d v}{d t}$ (ii)
From (i) and (ii):
$a = \frac{m g}{m + B ^{2} ℓ ^{2} C}$

Subject:PhysicsTopic:EMI/ACSubtopic:Motional & Rotational EMF

⏱ 3mℹ️ Source: QB

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