You are designing a generator to have a maximum emf of 8.0 V. If the generator coil has 200 turns and a cross-sectional area of 0.030 m², what should be the frequency of the generator in a uniform magnetic field of 0.030 T? A) 7.1 Hz B) 7.5 Hz C) 8.0 Hz D) 22 Hz E) 44 Hz

Question

Quizplus · Accepted Answer

The emf of a generator is given by the equation:

emf = NABω

Where N is the number of turns in the coil, A is the cross-sectional area of the coil, B is the magnetic field strength, and ω is the angular frequency.

Rearranging this equation to solve for ω:

ω = emf / (NAB)

Plugging in the given values:

ω = 8.0 V / (200 turns * 0.030 m² * 0.030 T)

ω = 7.1 Hz

Therefore, the correct choice is A.

You Are Designing a Generator to Have a Maximum Emf