A coil is placed next to a straight wire. The current in the wire is as shown in the diagram below. The coil and wire lie in the same plane with the +z axis perpendicular to the plane of the coil. (a) As the current in the wire increases, find the direction of the induced current in the coil by answering the following questions. (i) What is the direction of the magnetic field due to the current carrying wire in the center of the coil? +x, -x, +y, -y, +z, or -z?

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A coil is placed next to a straight wire. The current in the wire is as shown in the diagram below. The coil and wire lie in the same plane with the +z axis perpendicular to the plane of the coil.

(a) As the current in the wire increases, find the direction of the induced current in the coil by answering the following questions.

(i) What is the direction of the magnetic field due to the current carrying wire in the center of the coil? +x, -x, +y, -y, +z, or -z?
(ii) As the current in the wire increases, how will the magnetic flux in the coil change? Increase, decrease, or stay the same? 
(iii) What is the direction of the induced magnetic flux in the coil? +x, -x, +y, -y, +z, or -z?
(iv) What is the direction of the induced current in the coil? Clockwise, counterclockwise, or no current? 
 
(b) Now suppose the current in the wire decreases, what is the direction of the induced current in the coil? Clockwise, counterclockwise, or no current? 
 
(c) Now suppose the current in the wire suddenly changes direction, what is the direction of the induced current in the coil?
Clockwise, counterclockwise, or no current? 
 
 
The image shows a diagram with two main components and a coordinate system. 

On the left side, there is a circular coil labeled "coil." Next to the coil is a vertical wire labeled "wire" with a downward-pointing arrow next to it, labeled "I," indicating the direction of current flow.

To the right, there is a three-dimensional coordinate axis labeled with x, y, and z. The x-axis points to the right, the y-axis points upward, and the z-axis points outward.

This setup is typically used to illustrate the interaction between a magnetic field generated by the current in the wire and the coil.
Transcribed Image Text:The image shows a diagram with two main components and a coordinate system. On the left side, there is a circular coil labeled "coil." Next to the coil is a vertical wire labeled "wire" with a downward-pointing arrow next to it, labeled "I," indicating the direction of current flow. To the right, there is a three-dimensional coordinate axis labeled with x, y, and z. The x-axis points to the right, the y-axis points upward, and the z-axis points outward. This setup is typically used to illustrate the interaction between a magnetic field generated by the current in the wire and the coil.
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