Joe has rolled a long electrical extension cord into a coil of radius rc = 14 cm with Nc = 9 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 = 0.65 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 Wb, 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.
Joe has rolled a long electrical extension cord into a coil of radius rc = 14 cm with Nc = 9 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 = 0.65 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 Wb, 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.
Given data
*The coil of the radius is rc = 14 cm
*The number of loops is Nc = 9 loops
*The given angle is
*The strength of the earth's magnetic field is
*The change in time is tr = 0.65
*The given resistance is R = 3.00 ohms
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