3. Rectangular current loop A current I flows in a square current loop of wire placed...
Rectangular current loop A current I flows in a square current loop of wire placed on the ry plane and centered about the origin. The lengths of the two sides are a and b (a) Find the magnetic field at any location (0,0, z) on the z-axis. (b) For za, b, what does your expression simplify to? (c) Compare your answer to (b) with the on-axis field for a circular loop at distances much greater than the loop radius.
A rectangular loop of wire has a length 2a in the x direction and a width 2b in the y direction. The loop lies in the z = 0 plane and is centered at the origin. Assuming that the loop carries a current of I Amps counterclockwise, as viewed from the positive z axis, find the magnetic field vector H at the center of the loop. Hint: Consider how the contributions from opposite sides of the rectangle compare, to save...
3. (a) A square loop of wire lies in the ry plane and is centred at the origin. Two segments are parallel to the axis and are at y = ±R. The other two segments are parallel to the y axis and are at z-th. The loop carries a steady current lo. What is the magnetic field at the origin? (b) The square loop of part (a) is replaced by a hexagon: the distance from the origin to the nearest...
A rectangular loop of wire that is 58 cm wide and 12 cm long is placed in a region where the magnetic field is B = 1.1 T. Suppose the wire loop lies in the x–y plane and that the magnetic field makes an angle of 70° with the z axis. Find the magnitude of the magnetic flux.
3) A square wire with current in it, wrapped once, is placed in the x-y plane. It's sides have a length of 1.8 m and the magnetic moment produced by it is 6 A m2 in the +z direction. The square wire is then reshaped, using all the wire from the square, into a circle with the same current as the square. The circle is then placed into the x-y plane (first quadrant) such that it's magnetic moment is also...
4. (a) A long straight wire carrying a current is placed near a current-carrying rectangular loop. Describe how, and why, the loop would move as a result of the magnetic forces from the long wire. The current in the loop is counterclockwise. (b) Suppose that you were to put in a different loop below the long wire (and still in the plane of the page). Draw the shape of a loop that would... ...experience a total magnetic force of zero...
Calculate the net force of the rectangular current loop (4mx6m) on the square current loop (2mx2m). Both are centered at the origin in the z = 0 plane. The outer loop has a 1A current flowing clockwise and the inner loop has a 2A current flowing counterclockwise.
12. A rectangular loop of wire carrying a 4.0-A current is placed in a magnetic field of 0.60 1. The magnitude of the torque acting on this wire when the plane of the loop makes a 30° angle with the field is measured to be 1.1 N.m. What is the area of this loop? A) 0.20 m2 B) 0.40 m2 C) 0.26 m2 D) 0.80 m2 E) 0.53 m2
The 5th page of lecture 24: 2. Consider a circular current loop of radius R placed in the xy plane as shown in the figure. It is centered at the origin and viewed down from the positive z-axis the current, lo, flows anti-clockwise. Radius = R a. In what direction does the magnetic field point at the red point in the figure, Fa? Explain clearly why this is true. current b. Since B-VxA, in which plane does Alie. Explain clearly...
10. A rectangular wire carrying a current is placed in a magnetic field. The magnitude of the torque the wire feels does not depend on which of the following statements: to. The magnitude of the current in the wire b. The direction of the current in the wire c. The length of the “loop” sides of the wire d. The area of the loop le.The orientation of the "loop"