Ex.1 A 100-loop square coil of wire, with side L=5 cm. and total resistance R=100 Ohm is positioned perpendicular to a uniform magnetic field B=0.6 T. as shown in Figure. below. It is quickly pulled from the field at constant speed (moving perpendicular to ) to a region where B drops abruptly to zero. At the right edge of the coil is at the edge of the field. It takes 0.100s for the whole coil to reach the field-free region. Determine (a) the rate of change in flux through one loop of the coil, and (b) the total emf and current induced in the 100-loop coil. (c) How much energy is dissipated in the coil? (d) What was the average force required( APPROACH We start by finding how the magnetic flux, changes during the time interval Faraday's law then gives the induced emf and Ohm's law gives the current.) B-0.600 T B=0 x x x x x X E5.00 cm

University Physics Volume 2
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Chapter13: Electromagnetic Induction
Section: Chapter Questions
Problem 92CP: A time-dependent uniform magnetic field of magnitude B(t) is confined in a cylindrical region of...
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Ex.1 A 100-loop square coil of wire, with side L=5 cm. and total resistance R=100 Ohm is positioned perpendicular to a
uniform magnetic field B=0.6 T. as shown in Figure. below. It is quickly pulled from the field at constant speed (moving
perpendicular to ) to a region where B drops abruptly to zero. At the right edge of the coil is at the edge of the field. It takes
0.100s for the whole coil to reach the field-free region. Determine (a) the rate of change in flux through one loop of the coil,
and (b) the total emf and current induced in the 100-loop coil. (c) How much energy is dissipated in the coil? (d) What was the
average force required( APPROACH We start by finding how the magnetic flux, changes during the time interval Faraday's law
then gives the induced emf and Ohm's law gives the current.)
B-0.600 T
X X
B=0
ext
X X
x x:
xx x x x x × ×
-5.00 cm
Transcribed Image Text:Ex.1 A 100-loop square coil of wire, with side L=5 cm. and total resistance R=100 Ohm is positioned perpendicular to a uniform magnetic field B=0.6 T. as shown in Figure. below. It is quickly pulled from the field at constant speed (moving perpendicular to ) to a region where B drops abruptly to zero. At the right edge of the coil is at the edge of the field. It takes 0.100s for the whole coil to reach the field-free region. Determine (a) the rate of change in flux through one loop of the coil, and (b) the total emf and current induced in the 100-loop coil. (c) How much energy is dissipated in the coil? (d) What was the average force required( APPROACH We start by finding how the magnetic flux, changes during the time interval Faraday's law then gives the induced emf and Ohm's law gives the current.) B-0.600 T X X B=0 ext X X x x: xx x x x x × × -5.00 cm
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