1) A generator is constructed by rotating a coil of N turns in a magnetic field

Question

1) A generator is constructed by rotating a coil of N turns in a magnetic field B at a frequency f. The internal resistance of the coil is R and the cross sectional area of the coil isA.
Which of the following statements are true? (Give ALL correct answers, i.e., B, AC, BCD...)

A) The average induced EMF doubles if the resistance R is doubled.
B) The maximum induced EMF occurs when the coil is rotated about an axis parallel to the magnetic field lines.
C) The average induced EMF doubles if the magnetic field B is doubled.
D) The maximum induced EMF occurs when the coil is rotated about the axis of the coil.
E) The average induced EMF doubles if the frequency f is doubled.
F) The average induced EMF doubles if the area A is doubled.

Explanation / Answer

Answer is BCEF

Average induced emf

E=NBAWSin(Wt)--------------------1

Maximum Induced emf

Emax=NBAW---------------------2

A)

False

So From equation 1 it doesn't depend on resistance

B)

True

Emax=NBAWSin90 =NBAW

c)

True ,Since Average induced emf is directly proportional to magnetic field from equation 1

d)

False

Emax =NBAWsin(o)=0

e)

True ,Since maximum Induced emf is directly propotionla to frequecy from equation 2

f)

True ,Since Average induced emf is directly proportional to Areafrom equation 1

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