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Physics - EMI/AC Question with Solution | TestHub

PhysicsEMI/ACMotional & Rotational EMFMedium2 minQB

PhysicsMediumnumerical

Passage / Comprehension

At time $t = 0$ , a rectangular single-loop coil of resistance $R = 5.00Ω$ , dimension $W = 2.00 cm$ and $L = 10.0 cm$ enters a region of constant magnetic field directed into the page with $B = 2.50 T$ . The length of the region containing the magnetic field is $L_{B} = 5.00 cm$ as shown. The coil is observed to move to the right with the constant speed of $v = 2.00 cm / s$ .\\

At time $t = 0.500 s$ , what is the magnitude of the applied force (in $μ N$ ) required to maintain this velocity?

Answer:

10.00

Solution:

Ans (10.00)

$i = \frac{B v l}{R}$ , $F = i B ℓ = (\frac{B v l}{R}) (B ℓ) = \frac{B ^{2} l ^{2} v}{R}$

$F = \frac{( 2.5 ) ^{2} \times ( 2 \times 1 0 ^{- 2} ) ^{2} \times ( 2 \times 1 0 ^{- 2} )}{5} = 1 \times 1 0^{- 5}$ N

Stream:JEESubject:PhysicsTopic:EMI/ACSubtopic:Motional & Rotational EMF

⏱ 2mℹ️ Source: QB

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