A generator and emf question!

Question

can someone help me with some true and false. i dont think i understand the relationships here. here is the question.

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 is A.

True False The average induced EMF doubles if the resistance R is doubled.

True False The average induced EMF doubles if the area A is doubled.

True False The average induced EMF doubles if the magnetic field B is doubled.

True False The maximum induced EMF occurs when the coil is rotated about an axis perpendicular to area A.

True False The average induced EMF doubles if the frequency f is doubled.

Answer 1

1. False.  The induced EMF will be cut in half, not doubled.

2. True.  You're increasing the area subjected to the magnetic field, so the induced EMF will increase.

3. True.  You're increasing the intensity of the magnetic field, thereby increasing the intensity of the induced EMF.

4. True.  The additional motion should translate into increased electric energy.

5. False.  The frequency is independent of the induced EMF (unless you're approaching zero).