The magnetic flux through a certain coil is given by where the units are SI.The coil has 100 turns.The magnitude of the induced EMF when t = 1/200 s is
A)100 V
B)200 V
C)zero
D)2/$\pi$ V
E)1/50$\pi$ V

Question

The magnetic flux through a certain coil is given by  where the units are SI.The coil has 100 turns.The magnitude of the induced EMF when t = 1/200 s is
A)100 V 
B)200 V 
C)zero 
D)2/$\pi$ V 
E)1/50$\pi$ V

Quizplus · Accepted Answer

The formula for induced EMF in a coil is given by:

EMF = -N(dΦ/dt)

Where N is the number of turns and Φ is the magnetic flux.

Differentiating the given magnetic flux function with respect to time, we get:

dΦ/dt = 11e^(-250t)

Substituting N = 100 and t = 1/200 s, we get:

EMF = -100*(11e^(-250*(1/200)))
EMF = -100*(11e^(-1.25))
EMF ≈ -100*(1.55)
EMF ≈ -155 V

Since the question asks for the magnitude of the induced EMF, we take the absolute value:

|EMF| ≈ 155 V

Therefore, the closest answer choice is B) 200 V.

The Magnetic Flux Through a Certain Coil Is Given by π\piπ

The Magnetic Flux Through a Certain Coil Is Given by $\pi$