A long straight wire carrying a current of 2.13 A moves with a constant speed v to the right. A 120 turn circular coil of diameter 1.50 cm, and resistance of 3.25 pn, lies stationary in the same plane as the straight wire. At some initial time the wire is to the left of the coil at a distance d = 14.0 cm from its center. 5.00 s later, the wire has moved to the right of the coil and is at a distance d from the center of the coil. You may assume for simplicity that the magnetic field is uniform in the region of the coil. Initial situation Final situation (a) what is the direction the induced current in the coil as the wire moves toward the coil, in the initial situation? O clockwise O counterclockwise O no current (b) What is the direction of the induced current in the coil as the wire moves away from coil, in the final situation? O clockwise O counterclockwise O no current (c) What is the magnitude of the average induced current in the coil over the 5.00 s interval?
A long straight wire carrying a current of 2.13 A moves with a constant speed v to the right. A 120 turn circular coil of diameter 1.50 cm, and resistance of 3.25 pn, lies stationary in the same plane as the straight wire. At some initial time the wire is to the left of the coil at a distance d = 14.0 cm from its center. 5.00 s later, the wire has moved to the right of the coil and is at a distance d from the center of the coil. You may assume for simplicity that the magnetic field is uniform in the region of the coil. Initial situation Final situation (a) what is the direction the induced current in the coil as the wire moves toward the coil, in the initial situation? O clockwise O counterclockwise O no current (b) What is the direction of the induced current in the coil as the wire moves away from coil, in the final situation? O clockwise O counterclockwise O no current (c) What is the magnitude of the average induced current in the coil over the 5.00 s interval?
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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Transcribed Image Text:A long straight wire carrying a current of 2.13 A moves with a constant speed v to the right. A 120 turn circular coil of diameter 1.50 cm, and resistance of 3.25 µn, lies stationary in the same plane as the straight wire. At some initial time the wire is to the left of the coil
at a distance d = 14.0 cm from its center. 5.00 s later, the wire has moved to the right of the coil and is at a distance d from the center of the coil. You may assume for simplicity that the magnetic field is uniform in the region of the coil.
Initial situation
Final situation
(a) What is the direction of the induced current in the coil as the wire moves toward the coil, in the initial situation?
O clockwise
O counterclockwise
O no current
(b) What is the direction of the induced current in the coil as the wire moves away from coil, in the final situation?
O clockwise
O counterclockwise
O no current
(c) What is the magnitude of the average induced current in the coil over the 5.00 s interval?
mA
Expert Solution
Step 1
Induced current:
The current induced in a conducting loop that is exposed to a changing magnetic field is known as induced current.
Explanation:
Current through the straight wire, I = 2.13 A
Number of turns, N = 120 turns
Diameter of the coil, D = 1.50 cm
Resistance of the coil,
Distance of the wire from the center of the coil, d = 14 cm = 0.14 m
The magnetic field, B₁, when the wire is at a distance, d, from the center of the coil.
Step 2
Magnetic field B₂ when the wire is at a distance, 2d from the center of the coil
Change in the magnetic field, ΔB = B₂ - B₁ = 15.22
Induced current,
E = -N (Δ∅)/Δt
Δ∅ = A ΔB
Area, A = πr²
diameter, D = 0.015 m
Radius, r = 0.0075 m
A = π0.0075²
A = 0.000176625 m²
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