Electro Magnetic Induction And Alternating Currents Question 386

Question: The magnetic flux linked with a coil, in webers, is given by the equations $ \varphi =3t^{2}+4t+9 $ . Then the magnitude of induced e.m.f. at t = 2 second will be [KCET 2000; CPMT 2003; MP PET 2005]

Options:

A) 2 volt

B) 4 volt

C) 8 volt

D) 16 volt

Show Answer

Answer:

Correct Answer: D

Solution:

$ e=-\frac{d\varphi }{dt}=-\frac{d}{dt}( 3t^{2}+4t+9 )=-( 6t+4 ) $

$ e=-[ 6(2)+4 ]=-16\Rightarrow ,|e|,=16\ volt $



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