Your camping buddy has an idea for a light to go inside your tent He happens to have a powerful (and heavyl) horseshoe magnet that he bought at a surplus store. This magnet creates B = 0.30 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=1.02 lightbulb rated at 4.0W. That's not super bright, but it should be plenty of light for routine activities in the tent. (Eigure 1)

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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 = 0.30 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 N 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 freguency 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 T.
Eν ΑΣΦ
I =
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.
HÀ
Figure
< 1 of 1>
f =
Value
Units
5.0 cm
Request Answer
Submit
В
Part C
Crank
Provide Feedback
1.0 N/4.0 W bulb
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 = 0.30 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 N 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 freguency 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 T. Eν ΑΣΦ I = 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. HÀ Figure < 1 of 1> f = Value Units 5.0 cm Request Answer Submit В Part C Crank Provide Feedback 1.0 N/4.0 W bulb
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