(4) Consider an infinitely long wire oriented along the x-axis with current, I1 flowing in the -x direction. A square loop of wire with sidelength a is located next to this long wire such that the center of the square is at the point (d, -d,0). A circular loop of wire with radius a is located next to this long wire such that the center of the circle is at the point (-d, –d, 0). This setup is shown below. (a) The circular loop is slowly rotated about its axis. Is there current flowing in the circular loop? You don't need to specify the current direction. [2pts] (b) The square loop is slowly rotated about its axis. Is there current flowing in the square loop? You don't need to specify the current direction. [2pts] (c) The square loop is slowly moved in the +y direction. Is there current flowing in the square loop? If so, also specify which direction the current flows. [2pts]

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(4) Consider an infinitely long wire oriented along the x-axis with current, In flowing in the
-x direction. A square loop of wire with sidelength a is located next to this long wire such
that the center of the square is at the point (d, -d,0). A circular loop of wire with radius a
is located next to this long wire such that the center of the circle is at the point (-d, -d, 0).
This setup is shown below.
(a) The circular loop is slowly rotated about its axis. Is there current flowing in the
circular loop? You don't need to specify the current direction. [2pts]
(b) The square loop is slowly rotated about its axis. Is there current flowing in the square
loop? You don't need to specify the current direction. [2pts]
(c) The square loop is slowly moved in the +y direction. Is there current flowing in the
square loop? If so, also specify which direction the current flows. [2pts]
(d) The circular loop is slowly moved in the +y direction. Is there current flowing in the
circular loop? If so, also specify which direction the current flows. [2pts]
(e) While the square loop of wire is located at the the point (d, d, 0) a clockwise current
I2 begins to flow through the loop. What is the net force on the square loop of wire? [2pts]
-d
d
a
a
--d
Transcribed Image Text:(4) Consider an infinitely long wire oriented along the x-axis with current, In flowing in the -x direction. A square loop of wire with sidelength a is located next to this long wire such that the center of the square is at the point (d, -d,0). A circular loop of wire with radius a is located next to this long wire such that the center of the circle is at the point (-d, -d, 0). This setup is shown below. (a) The circular loop is slowly rotated about its axis. Is there current flowing in the circular loop? You don't need to specify the current direction. [2pts] (b) The square loop is slowly rotated about its axis. Is there current flowing in the square loop? You don't need to specify the current direction. [2pts] (c) The square loop is slowly moved in the +y direction. Is there current flowing in the square loop? If so, also specify which direction the current flows. [2pts] (d) The circular loop is slowly moved in the +y direction. Is there current flowing in the circular loop? If so, also specify which direction the current flows. [2pts] (e) While the square loop of wire is located at the the point (d, d, 0) a clockwise current I2 begins to flow through the loop. What is the net force on the square loop of wire? [2pts] -d d a a --d
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