The magnetic flux through a coil perpendicular to its plane is varying according to the relation $ϕ = (5 t^{3} + 4 t^{2} + 2 t - 5)$ Weber. If the resistance of the coil is 5 ohm, then the induced current through the coil at t = 2s will be

Option 1 - 15. 6 A

Option 2 - 16.6 A

Option 3 - 17.6 A

Option 4 - 18.6 A

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Payal Gupta | Contributor-Level 10

8 months ago

Correct Option - 1

Detailed Solution:

$V = \frac{- d ?}{d t} = - (15 t^{2} + 8 t + 2)$

at t = 2 sec, V = (15 * 4 + 8 * 2 + 2)

= 78 V

$I = \frac{V}{R} = \frac{78}{5} = 15.6 A$

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The magnetic flux through a coil perpendicular to its plane is varying according to the relation ϕ = ( 5 t 3 + 4 t 2 + 2 t − 5 ) Weber. If the resistance of the coil is 5 ohm, then the induced current through the coil at t = 2s will be

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The magnetic flux through a coil perpendicular to its plane is varying according to the relation $ϕ = (5 t^{3} + 4 t^{2} + 2 t - 5)$ Weber. If the resistance of the coil is 5 ohm, then the induced current through the coil at t = 2s will be