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Electromagnetic Induction

Induced emf

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Question

Hard

Solving time: 4 mins

The figure shows an isosceles triangle wire frame with apex angle equal to $π /2$ . The frame starts entering into the region of uniform magnetic field $B$ with constant velocity $v$ at $t = 0$ . The longest side of the frame is perpendicular to the frame is perpendicular to $t = 0$ instantaneous the direction of velocity. If $i$ is the instantaneous showing the correct variation of $i$ with time.

Views: 6,164 students

Book:

Physics for JEE Main and Advanced Magnetism and EMI (McGraw Hill)

Text solutionVerified

The figure shows the situation at time

t

A D = v t

EF = 2 (A D tan 4 5^{\circ}) = 2 v t

Emf induced can be calculated as

ϕ = B \frac{1}{2} (A D) (EF) = B v^{2} t^{2}

∴ ∣ ε ∣ = \frac{d ϕ}{d t} = 2 B v^{2} t

Alternatively, one can think in terms of motional emf. Emf induced in EAF is same as emf induced in a straight wire EF.

∴ ε = B v l = B v (2 v t) = 2 v^{2} Bt

∴

graph of

ε

versus

t

is a straight line as shown in (D)

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Charlotte Discussed

The figure shows an isosceles triangle wire frame with apex angle equal to

π /2

. The frame starts entering into the region of uniform magnetic field

B

with constant velocity

v

t = 0

. The longest side of the frame is perpendicular to the frame is perpendicular to

t = 0

instantaneous the direction of velocity. If

i

is the instantaneous showing the correct variation of

i

with time.

6 mins ago

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Question Text	The figure shows an isosceles triangle wire frame with apex angle equal to $π /2$ . The frame starts entering into the region of uniform magnetic field $B$ with constant velocity $v$ at $t = 0$ . The longest side of the frame is perpendicular to the frame is perpendicular to $t = 0$ instantaneous the direction of velocity. If $i$ is the instantaneous showing the correct variation of $i$ with time.
Topic	Electromagnetic Induction
Subject	Physics
Class	Class 12
Answer Type	Text solution:1
Upvotes	52

Text solutionVerified

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