please answerboth questions and be clear In the figure below, a stiff wire bent

Question

please answerboth questions and be clear

In the figure below, a stiff wire bent into a semicircle of radius a = 10cm is rotated at constant angular speed 40 rev/s in a uniform 50 mT magnetic field. What are the (a) frequency and (b) amplitude of the emf induced in the loop? A radio receiver has an inductor with L = l mu H and an adjustable capacitor. To what capacitance do you need to adjust the capacitor in order to receive a signal from your favorite radio station that is broadcasting at 100 MHz?

Explanation / Answer

3) frequency = 40 Hz

b) amplitude =B area* w = 50.0E-3*(pi*.1^2/1)*40*2*pi=0.3948 V

4)

2 pi f = 1/sqrt(LC)

2*pi*100.0E6= 1/(sqrt(1.0E-6*C))

C=2.53E-12 F

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