Joe has rolled a long electrical extension cord into a coil of radius rc=19 cm with Nc=14 loops. The coil of extension cord is initially lying horizontally (flat) on the floor of Joe's garage. Joe picks up the coil and rotates it 90° counterclockwise in tr=0.85 seconds so that the coil is now vertically oriented (see the figure). a. If the Earth's magnetic field has strength 0.50 gauss and makes an angle of 20.0 degrees with the garage floor, calculate the change in the magnetic flux ΔΦB, in webers, through one of the loops of the coil during the rotation. Treat the initial flux as having a positive sign.  b. Calculate the average induced emf εc, in volts, in the coil during the rotation.  c. If the extension cord had a resistance of 3.0 ohms and formed a closed circuit without any other components, calculate the induced current Ic, in amps, in the extension cord.

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter31: Gauss’s Law For Magnetism And Ampère’s Law
Section: Chapter Questions
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Joe has rolled a long electrical extension cord into a coil of radius rc=19 cm with Nc=14 loops. The coil of extension cord is initially lying horizontally (flat) on the floor of Joe's garage. Joe picks up the coil and rotates it 90° counterclockwise in tr=0.85 seconds so that the coil is now vertically oriented (see the figure).

a. If the Earth's magnetic field has strength 0.50 gauss and makes an angle of 20.0 degrees with the garage floor, calculate the change in the magnetic flux ΔΦB, in webers, through one of the loops of the coil during the rotation. Treat the initial flux as having a positive sign. 

b. Calculate the average induced emf εc, in volts, in the coil during the rotation. 

c. If the extension cord had a resistance of 3.0 ohms and formed a closed circuit without any other components, calculate the induced current Ic, in amps, in the extension cord. 

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