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.A long, straight, horizontal wire carries current I toward the right. A rectangular loop of wire, with length L and height w, lies below the straight wire. The length is parallel to the straight wire, and the top edge of the loop is a distance h below the straight wire.(a)Determine the magnetic flux through the loop due to the current I. (Use any variable stated above along with the following as necessary: ?0.)ΦB = (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 = 20.0 cm, and L = 1.25 m. How do you determine the induced emf from your equation for the flux from part (a)? V(c)What is the direction of the induced current in the rectangle?clockwisecounterclockwise 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 h0 = 1.00 cm toward the bottom of the figure at a constant speed of v = 24.0 cm/s.(d)What is the magnitude of the induced emf (in V) in the loop 1.00 s after it begins to move? V(e)What is the direction of the induced current in the loop 1.00 s after it begins to move?clockwisecounterclockwise The magnitude is zero. 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 atabletop as shown in the figure below.(a) Determine the magnetic flux through the loop due to the current I. (Use any variable stated above along with thefollowing as necessary: μo.)&PBW(b) Suppose the current is changing with time according to I = a + bt, where a and b are constants. Determine themagnitude of the emf (in V) that is induced in the loop if b = 20.0 A/s, h = 1.00 cm, w = 20.0 cm, and L = 1.25 m.How do you determine the induced emf from your equation for the flux from part (a)? V(c) What is the direction of the induced current in the rectangle?O clockwiseO counterclockwiseThe 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 positionho = 1.00 cm toward the bottom of the figure at a constant speed of v = 24.0 cm/s.(d) What is the magnitude of the induced emf (in V) in the loop 1.00 s after it begins to move?V(e) What is the direction of the induced current in the loop 1.00 s after it begins to move?clockwisecounterclockwiseThe magnitude is zero.

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ISBN:9781305952300

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Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

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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.

A long, straight, horizontal wire carries current I toward the right. A rectangular loop of wire, with length L and height w, lies below the straight wire. The length is parallel to the straight wire, and the top edge of the loop is a distance h below the straight wire.

(a)

Determine the magnetic flux through the loop due to the current I. (Use any variable stated above along with the following as necessary: ?₀.)

Φ_B =

(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 = 20.0 cm, and L = 1.25 m.

How do you determine the induced emf from your equation for the flux from part (a)? V

(c)

What is the direction of the induced current in the rectangle?

clockwisecounterclockwise 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

h₀ = 1.00 cm

toward the bottom of the figure at a constant speed of v = 24.0 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?

clockwisecounterclockwise The magnitude is zero.

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.
(a) Determine the magnetic flux through the loop due to the current I. (Use any variable stated above along with the
following as necessary: μo.)
&
PB
W
(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 = 20.0 cm, and L = 1.25 m.
How do you determine the induced emf from your equation for the flux from part (a)? V
(c) What is the direction of the induced current in the rectangle?
O clockwise
O 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
ho = 1.00 cm toward the bottom of the figure at a constant speed of v = 24.0 cm/s.
(d) What is the magnitude of the induced emf (in V) in the loop 1.00 s after it begins to move?
V
(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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