The magnetic flux linked with a coil at any instant t is given by the equation - -5 t 3 -100t-300- The magnitude of emf induced in the coil after 3 s is

The correct option is C 35 V Let us assume that the coil is made of a single turn only. #160;The emf induced is given by Faraday's law: ⇒ E=N dϕ # ...

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Standard XII

Physics

Motional EMF

The magnetic ...

Question

The magnetic flux linked with a coil at any instant $t$ is given by the equation $ϕ = 5 t^{3} - 100 t + 300$ . The magnitude of emf induced in the coil after $3 s$ is

10 V

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20 V

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35 V

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70 V

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Solution

The correct option is C $35 V$
Let us assume that the coil is made of a single turn only.
The emf induced is given by Faraday's law:
$\Rightarrow E = N \frac{d ϕ}{d t} = 15 t^{2} - 100$

Thus, after 3s, induced emf will be $135 - 100 = 35 V$

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The magnetic flux linked with a coil at any instant t is given by the equation ϕ=5t3−100t+300. The magnitude of emf induced in the coil after 3s is

The correct option is C 35VLet us assume that the coil is made of a single turn only. The emf induced is given by Faraday's law:⇒E=Ndϕdt=15t2−100Thus, after 3s, induced emf will be 135−100=35V

The magnetic flux linked with a coil at any instant $t$ is given by the equation $ϕ = 5 t^{3} - 100 t + 300$ . The magnitude of emf induced in the coil after $3 s$ is

The correct option is C $35 V$
Let us assume that the coil is made of a single turn only.
The emf induced is given by Faraday's law:
$\Rightarrow E = N \frac{d ϕ}{d t} = 15 t^{2} - 100$

Thus, after 3s, induced emf will be $135 - 100 = 35 V$