Suppose the current is changing with time according to I = a + bt, where a and b are constants. Determine the magnitude (in V) that is induced in the loop if b = 20.0 A/s, h = 1.00 cm, w = 15.0 cm, and L = 1.05 m.

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Chapter24: Magnetic Fields
Section: Chapter Questions
Problem 103A
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A loop of wire in the shape of a rectangle of width w and length L and a long, straight wire carrying a current I lie on a tabletop as shown in
the figure below.
E L.
(a) Determine the magnetic flux through the loop due to the current I. (Use any variable stated above along with the following as
necessary: un:)
(b) Suppose the current is changing with time according to I = a + bt, where a and b are constants. Determine the magnitude of the emf
(in V) that is induced in the loop if b = 20.0 A/s, h = 1.00 cm, w = 15.0 cm, and L = 1.05 m.
v
(c) What is the direction of the induced current in the rectangle?
clockwise
counterclockwise
The magnitude is zero.
What If? Suppose a constant current of I = 6.00 A flows in the straight wire and the loop moves from an initial position h, = 1.00 cm
toward the bottom of the figure at a constant speed of v = 22.0 cm/s.
(d) What is the magnitude of the induced emf (in V) in the loop 1.00 s after it begins to move?
(e) What is the direction of the induced current in the loop 1.00 s after it begins to move?
clockwise
counterclockwise
The magnitude is zero.
Transcribed Image Text:A loop of wire in the shape of a rectangle of width w and length L and a long, straight wire carrying a current I lie on a tabletop as shown in the figure below. E L. (a) Determine the magnetic flux through the loop due to the current I. (Use any variable stated above along with the following as necessary: un:) (b) Suppose the current is changing with time according to I = a + bt, where a and b are constants. Determine the magnitude of the emf (in V) that is induced in the loop if b = 20.0 A/s, h = 1.00 cm, w = 15.0 cm, and L = 1.05 m. v (c) What is the direction of the induced current in the rectangle? clockwise counterclockwise The magnitude is zero. What If? Suppose a constant current of I = 6.00 A flows in the straight wire and the loop moves from an initial position h, = 1.00 cm toward the bottom of the figure at a constant speed of v = 22.0 cm/s. (d) What is the magnitude of the induced emf (in V) in the loop 1.00 s after it begins to move? (e) What is the direction of the induced current in the loop 1.00 s after it begins to move? clockwise counterclockwise The magnitude is zero.
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