Learning Goal: To practice Problem-Solving Strategy 27.1 Electromagnetic Induction. A coil of wire contains N turns and has an electrical resistance R. The radius of each turn is a. Initially, inside the coil there exists a uniform magnetic field of magnitude Bo parallel to the axis of the coil. The magnetic field is then reduced slowly. The current induced in the coil is I. How long does it take for the magnitude of the uniform field to drop to zero? Figure 1 of 1 Prepare Assume that at any time the magnetic field is uniform inside the coil, and that when it is decreased, the field changes magnitude but not direction. Note that the resistance of the coil and the induced current are assumed to be constant and of known magnitudes. Part A (Figure 1)shows the coil lying in the plane of the screen and the external magnetic field pointing into the screen. As the external magnetic field decreases, an induced current flows in the coil. What is the direction of the induced magnetic field caused by this current? ► View Available Hint(s) O Radially outward from the axis of the coil O Radially inward toward the axis of the coil O Vertically upward in the plane of the screen O Vertically downward in the plane of the screen Into the screen O Out of the screen Submit Previous Answers X Incorrect; Try Again; One attempt remaining Recall that the induced magnetic field will be created such that it opposes the change in magnetic flux through the loop. A magnetic field directed vertically downward will not affect the flux through the loop.
Learning Goal: To practice Problem-Solving Strategy 27.1 Electromagnetic Induction. A coil of wire contains N turns and has an electrical resistance R. The radius of each turn is a. Initially, inside the coil there exists a uniform magnetic field of magnitude Bo parallel to the axis of the coil. The magnetic field is then reduced slowly. The current induced in the coil is I. How long does it take for the magnitude of the uniform field to drop to zero? Figure 1 of 1 Prepare Assume that at any time the magnetic field is uniform inside the coil, and that when it is decreased, the field changes magnitude but not direction. Note that the resistance of the coil and the induced current are assumed to be constant and of known magnitudes. Part A (Figure 1)shows the coil lying in the plane of the screen and the external magnetic field pointing into the screen. As the external magnetic field decreases, an induced current flows in the coil. What is the direction of the induced magnetic field caused by this current? ► View Available Hint(s) O Radially outward from the axis of the coil O Radially inward toward the axis of the coil O Vertically upward in the plane of the screen O Vertically downward in the plane of the screen Into the screen O Out of the screen Submit Previous Answers X Incorrect; Try Again; One attempt remaining Recall that the induced magnetic field will be created such that it opposes the change in magnetic flux through the loop. A magnetic field directed vertically downward will not affect the flux through the loop.
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Transcribed Image Text:**Learning Goal:**
To practice Problem-Solving Strategy 27.1 Electromagnetic Induction.
A coil of wire contains \( N \) turns and has an electrical resistance \( R \). The radius of each turn is \( a \). Initially, inside the coil there exists a uniform magnetic field of magnitude \( B_0 \) parallel to the axis of the coil. The magnetic field is then reduced slowly. The current induced in the coil is \( I \). How long does it take for the magnitude of the uniform field to drop to zero?
**Prepare:**
Assume that at any time the magnetic field is uniform inside the coil, and that when it is decreased, the field changes magnitude but not direction. Note that the resistance of the coil and the induced current are assumed to be constant and of known magnitudes.
**Part A**
(Figure 1) shows the coil lying in the plane of the screen and the external magnetic field pointing into the screen. As the external magnetic field decreases, an induced current flows in the coil. What is the direction of the induced magnetic field caused by this current?
**View Available Hint(s)**
- Radially outward from the axis of the coil.
- Radially inward toward the axis of the coil.
- Vertically upward in the plane of the screen.
- Vertically downward in the plane of the screen.
- Into the screen.
- Out of the screen.
Incorrect; Try Again; One attempt remaining. Recall that the induced magnetic field will be created such that it opposes the change in magnetic flux through the loop. A magnetic field directed vertically downward will not affect the flux through the loop.
**Figure 1:**
The figure illustrates a coil with radius \( a \) in the plane of the screen. The coil is depicted as a circular loop, through which an external uniform magnetic field \( B_0 \) is passing into the screen (indicated by '×' symbols representing the direction of the magnetic field).
**Diagram Explanation:**
- The circle represents the coil of wire with radius \( a \).
- The '×' symbols inside the circle represent the direction of the magnetic field \( B_0 \) pointing into the screen.
- The black arrow labeled \( a \) indicates the radius of the coil.
- \( \vec{B_0} \) denotes the uniform magnetic field initially present inside the coil.
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