Your camping buddy has an idea for a light to go inside your tent. He

happens to have a powerful (and heavy!) horseshoe magnet that he bought

at a surplus store. This magnet creates a 0.20 T field between two pole tips 10 cm apart. As shown in Figure P33.45, his idea is to build a hand cranked generator with a r =

5.0 cm radius rotating semicircle between the pole tips. He thinks you can make enough current to fully light a 1.0 lightbulb rated at 4.0 W. That's not super bright, but it should be plenty of light for routine activities in the tent.

Figure P33.45

(a) Find an expression for the induced current as a function of time if you turn the crank at frequency f. Assume that the semicircle is at its highest point at t = 0. Use f to represent the frequency in Hz and t to represent the time in s. A

(b) With what frequency will you have to turn the crank for the maximum current to fully light the bulb? Hz

Is this feasible? (_) yes(o) no

I am totally lost on this, I can't even find equations in my book that relate to this. Any help would be great.

I know that the random symbols in my answer for part a are right, but my coefficient is not.

happens to have a powerful (and heavy!) horseshoe magnet that he bought

at a surplus store. This magnet creates a 0.20 T field between two pole tips 10 cm apart. As shown in Figure P33.45, his idea is to build a hand cranked generator with a r =

5.0 cm radius rotating semicircle between the pole tips. He thinks you can make enough current to fully light a 1.0 lightbulb rated at 4.0 W. That's not super bright, but it should be plenty of light for routine activities in the tent.

Figure P33.45

(a) Find an expression for the induced current as a function of time if you turn the crank at frequency f. Assume that the semicircle is at its highest point at t = 0. Use f to represent the frequency in Hz and t to represent the time in s. A

(b) With what frequency will you have to turn the crank for the maximum current to fully light the bulb? Hz

Is this feasible? (_) yes(o) no

I am totally lost on this, I can't even find equations in my book that relate to this. Any help would be great.

I know that the random symbols in my answer for part a are right, but my coefficient is not.