A rectangular loop of sides of length - l - -2 m and b -0-5 m is placed in X - Y plane inside a uniform but time varying magnetic field of strength B - 20 t -10 t 2-50 k- where t is time elapsed- The magnitude of induced e-m-f at time t is -A- 20-20 tB- 20C- 20 tD- zero

The correct option is D zero The area vector of loop A⃗= ± lb k̂ and B⃗= 20t î+10 t^2ĵ + 50 k̂ ∴ Magnetic flux is ϕ = B⃗.A⃗= ± 50lb ∴ emf = d ϕ/dt=0 ...

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Standard XII

Physics

Mutual Induction

A rectangular...

Question

A rectangular loop of sides of length ‘l’ = 2m and ‘b’ = 0.5m is placed in X – Y plane inside a uniform but time varying magnetic field of strength $\to B = 20 t^i + 10 t^{2}^j + 50^k$ where t is time elapsed. The magnitude of induced e.m.f at time t is :

20+20t

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20 t

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zero

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Solution

The correct option is D
zero

The area vector of loop $\to A = \pm l b^k$
and $\to B = 20 t^i + 10 t^{2}^j + 50^k$
$∴$ Magnetic flux is $ϕ = \to B . \to A = \pm 50 l b$
$∴ e m f = \frac{d ϕ}{d t} = 0$

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A rectangular loop of sides of length ‘l’ = 2m and ‘b’ = 0.5m is placed in X – Y plane inside a uniform but time varying magnetic field of strength →B=20t^i+10t2^j+50^k where t is time elapsed. The magnitude of induced e.m.f at time t is :

The correct option is D zero The area vector of loop →A=±lb^k and →B=20t^i+10t2^j+50^k ∴ Magnetic flux is ϕ=→B.→A=±50lb ∴emf=dϕdt=0

A rectangular loop of sides of length ‘l’ = 2m and ‘b’ = 0.5m is placed in X – Y plane inside a uniform but time varying magnetic field of strength $\to B = 20 t^i + 10 t^{2}^j + 50^k$ where t is time elapsed. The magnitude of induced e.m.f at time t is :

The correct option is D
zero

The area vector of loop $\to A = \pm l b^k$
and $\to B = 20 t^i + 10 t^{2}^j + 50^k$
$∴$ Magnetic flux is $ϕ = \to B . \to A = \pm 50 l b$
$∴ e m f = \frac{d ϕ}{d t} = 0$