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 B = 0.40 T field between two pole tips 10 cm apart. His idea is to build a hand-cranked generator shown in Figure. He thinks you can make enough current to fully light a R = 1.0 2 lightbulb rated at 4.0W. That's not super bright, but it should be plenty of light for routine activities in the tent. (Figure 1) Part 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 has a radius of r = 5.0 cm and it is at its highest point at t = 0 s. Express your answer in terms of some or all of the variables B, R, r, f, t, and the constant πT. ΜΕ ΑΣΦ I = ? Figure 1 of 1 Submit Request Answer Part B With what frequency will you have to turn the crank for the maximum current to fully light the bulb? Express your answer to two significant figures and include the appropriate units. 5.0 cm HÅ ? f= Value Units B Crank 1.0 2/4.0 W bulb Submit Request Answer Part C Is this feasible?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter19: Magnetism
Section: Chapter Questions
Problem 52P
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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 B = 0.40 T field between two pole tips
10 cm apart. His idea is to build a hand-cranked
generator shown in Figure. He thinks you can make
enough current to fully light a R = 1.0 2 lightbulb rated at
4.0W. That's not super bright, but it should be plenty of
light for routine activities in the tent.
(Figure 1)
Part 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 has a radius of r = 5.0 cm and it is at its highest point at t = 0 s.
Express your answer in terms of some or all of the variables B, R, r, f, t, and the constant πT.
ΜΕ ΑΣΦ
I =
?
Figure
1 of 1
Submit
Request Answer
Part B
With what frequency will you have to turn the crank for the maximum current to fully light the bulb?
Express your answer to two significant figures and include the appropriate units.
5.0 cm
HÅ
?
f=
Value
Units
B
Crank
1.0 2/4.0 W bulb
Submit
Request Answer
Part C
Is this feasible?
Transcribed Image Text: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 B = 0.40 T field between two pole tips 10 cm apart. His idea is to build a hand-cranked generator shown in Figure. He thinks you can make enough current to fully light a R = 1.0 2 lightbulb rated at 4.0W. That's not super bright, but it should be plenty of light for routine activities in the tent. (Figure 1) Part 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 has a radius of r = 5.0 cm and it is at its highest point at t = 0 s. Express your answer in terms of some or all of the variables B, R, r, f, t, and the constant πT. ΜΕ ΑΣΦ I = ? Figure 1 of 1 Submit Request Answer Part B With what frequency will you have to turn the crank for the maximum current to fully light the bulb? Express your answer to two significant figures and include the appropriate units. 5.0 cm HÅ ? f= Value Units B Crank 1.0 2/4.0 W bulb Submit Request Answer Part C Is this feasible?
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