X R The figure above shows two parallel loops of wire having a common axis. The smaller loop (radius r) is above the larger loop (radius R) by a distance x >> R. Consequently, the magnetic field due to the counterclockwise current i in the larger loop is nearly constant throughout the smaller loop. Suppose that x is increasing at the constant rate dx/dt = V. NOTE: Express your answers to parts (a) and (b) in terms of the given variables. (a) Find an expression for the magnetic flux through the area of the smaller loop as a function of x. ÞB(x) = (b) Determine the magnitude of the induced emf in the smaller loop. E = (c) Determine the direction of the current in the small loop. Choose one ▾
X R The figure above shows two parallel loops of wire having a common axis. The smaller loop (radius r) is above the larger loop (radius R) by a distance x >> R. Consequently, the magnetic field due to the counterclockwise current i in the larger loop is nearly constant throughout the smaller loop. Suppose that x is increasing at the constant rate dx/dt = V. NOTE: Express your answers to parts (a) and (b) in terms of the given variables. (a) Find an expression for the magnetic flux through the area of the smaller loop as a function of x. ÞB(x) = (b) Determine the magnitude of the induced emf in the smaller loop. E = (c) Determine the direction of the current in the small loop. Choose one ▾
Chapter11: Magnetic Forces And Fields
Section: Chapter Questions
Problem 108CP: A wire ismade into a circular shape of radius R and pivoted along a central support.The two ends of...
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Transcribed Image Text:X
R
The figure above shows two parallel loops of wire having a common
axis. The smaller loop (radius r) is above the larger loop (radius R)
by a distance x >> R. Consequently, the magnetic field due to the
counterclockwise current i in the larger loop is nearly constant
throughout the smaller loop. Suppose that x is increasing at the
constant rate dx/dt = V.
NOTE: Express your answers to parts (a) and (b) in terms of the given variables.
(a) Find an expression for the magnetic flux through the area of the
smaller loop as a function of x.
ÞB(x) =
(b) Determine the magnitude of the induced emf in the smaller loop.
E
=
(c) Determine the direction of the current in the small loop.
Choose one ▾
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