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Question: The magnetic flux linked with a coil is given by an equation \(\varphi\) (in webers) = \(8t^{2} + 3t...

The magnetic flux linked with a coil is given by an equation φ\varphi (in webers) = 8t2+3t+58t^{2} + 3t + 5. The induced e.m.f. in the coil at the fourth second will be

A

16 units

B

39 units

C

67 units

D

145 units

Answer

67 units

Explanation

Solution

e=−dφdt=−(16t+3)=−67unitse = - \frac{d\varphi}{dt} = - (16t + 3) = - 67units