Magnetic flux:

$\overline{){{\mathbf{\Phi}}}_{{\mathbf{B}}}{\mathbf{}}{\mathbf{=}}{\mathbf{}}{\mathbf{NB}}{\mathbf{A}}{\mathbf{c}}{\mathbf{o}}{\mathbf{s}}{\mathbf{\theta}}}$ where N is the number of turns, B is the magnetic field, A is the area and θ is the angle between normal to the area and the magnetic field.

**Part A.**

N = 180

B = 5.30 × 10^{-5} T

A = 12.4 cm^{2} (1m/100cm)^{2} = 12.4 × 10^{-4} m^{2}

In a physics laboratory experiment, a coil with 180 turns enclosing an area of 12.4 cm^{2} is rotated in a time interval of 3.10x10^{-2} s from a position where its plane is perpendicular to the earth’s magnetic field to one where its plane is parallel to the field. The earth’s magnetic field at the lab location is 5.30x10^{-5} T.

Part A. What is the total magnetic flux (Φ_{initial}) through the coil before it is rotated?

Express your answer numerically, in webers, to at least three significant figures.

Part B. What is the total magnetic flux Φ_{final} through the coil after it is rotated?

Express your answer numerically, in webers, to at least three significant figures.

Part C. What is the magnitude of the average emf induced in the coil?

Express your answer numerically (in volts) to at least three significant figures.

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