# EMF induced

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## Homework Statement

http://img164.imageshack.us/img164/3313/qqqqo3.jpg [Broken]

Find the total magnetic flux through the coil at t=0
Given that the rate of change of flux at any time,t, is equal to $2 \pi f \phi sin 2 \pi ft$, find the maximum instanteous value of the induced emf at any time & the rms value of the induced emf.

If the coil were fixed and the magnet rotated at the same rate in the same direction, what difference would this make in the induced emf?

## The Attempt at a Solution

$$\phi = NBA = (150)*(4 \times 10^{-4})*( \pi (\frac{0.1}{2})^2)= 4.7 \times 10^{-4}Wb$$

Max emf at any time.

$$E=2 \pi f \phi sin 2 \pi ft \Rightarrow E_{max}=2 \pi f \phi = 2 \pi (25)(4.7 \times 10^{-4})=0.074V$$

$$E_{RMS}= \frac{0.074}{\sqrt{2}}=0.052V$$

and No change in the emf.

Any part wrong?

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