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Your camping buddy has an idea for a light to go inside

Physics for Scientists and Engineers: A Strategic Approach, Standard Edition (Chs 1-36) | 4th Edition | ISBN: 9780134081496 | Authors: Randall D. Knight (Professor Emeritus) ISBN: 9780134081496 191

Solution for problem 30.100 Chapter 30

Physics for Scientists and Engineers: A Strategic Approach, Standard Edition (Chs 1-36) | 4th Edition

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Physics for Scientists and Engineers: A Strategic Approach, Standard Edition (Chs 1-36) | 4th Edition | ISBN: 9780134081496 | Authors: Randall D. Knight (Professor Emeritus)

Physics for Scientists and Engineers: A Strategic Approach, Standard Edition (Chs 1-36) | 4th Edition

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Problem 30.100

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. His idea is to build the hand-cranked generator shown in FIGURE P30.56. He thinks you can make enough current to fully light a 1.0 lightbulb rated at 4.0 W. Thats not super bright, but it should be plenty of light for routine activities in the tent. 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 s. b. With what frequency will you have to turn the crank for the maximum current to fully light the bulb? Is this feasible?

Step-by-Step Solution:

Q: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. His idea is to build the hand-cranked generator shown in FIGURE P30.56. 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. 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 s. b. With what frequency will you have to turn the crank for the maximum current to fully light the bulb? Is this feasible?

                                                    Step By Step Solution

Step 1 of 4:

Given:

Field Intensity of magnet:

Power rating of the bulb:

Resistance of the bulb:

Radius of the semi circular loop:

Emf produced due to electromagnetic Induction is:

Step 2 of 4

Chapter 30, Problem 30.100 is Solved
Step 3 of 4

Textbook: Physics for Scientists and Engineers: A Strategic Approach, Standard Edition (Chs 1-36)
Edition: 4
Author: Randall D. Knight (Professor Emeritus)
ISBN: 9780134081496

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Your camping buddy has an idea for a light to go inside