Consider the following figure. (a) A conducting loop in the shape of a square of edge lengthl = 0.300 m carries a current I = 9.80 A as in the figure above. Calculate the magnitude and direction of the magnetic field at the center of the square. magnitude (b) If this conductor is reshaped to form a circular loop and carries the same current, what is the value of the magnetic field at the center? magnitude HT

A closely wound, circular coil with a diameter of 4.70 cm has 470 turns and carries a current of 0.520 A. Part A What is the magnitude of the magnetic field at the center of the coil? Part B What is the magnitude of the magnetic field at a point on the axis of the coil a distance of 7.80 cm from its center?

An infinitely long wire carrying current, I, is bent in the middle so that the horizontal and vertical sections are connected by a circular arc with radius, R, as shown in the figure. Write a symbolic expression for the strength of the magnetic field produced at the center point, P, in terms of I, R, and constants (all as needed), and indicate its direction. B = into the page I D R I

In each of the figures below, a uniform magnetic field B points in the +x-direction. The magnitude of the field is 1.75 T. In each figure, a square loop, shown edge-on, with sides of length = 0.380 m, is oriented within the magnetic field as shown. In the left figure, the loop is oriented vertically, perpendicular to the magnetic field. In the middle figure, it is tilted such that the plane of the loop makes a 60.0° angle with the magnetic field. In the right figure, the loop is oriented horizontally, parallel to the magnetic field. y (b) 60.0° from the magnetic field Wb B What is the magnetic flux (in Wb) through the loop in each of the three cases shown? (a) perpendicular to the magnetic field Wb (c) parallel to the magnetic field Wb B 60.0°

A thin conducting wire is bent into the shape shown in the figure. The circular portion of the wire has radius 28.0 cm. The wire is in the plane of the screen and carries a current 1.20 A. What is the magnetic field at the center of the loop? (Give the magnitude in µT and select the direction from the options provided.) magnitude ????? µT   direction  ---Select---  to the right  to the left  upwards  downwards  into the screen  out of the screen

A hexagonal loop of side  L = 7.1 cm  carries a current of  I = 1.6 A  (see figure below). Determine the magnetic field at the center of the loop. Assume the positive z axis points out of the page. (Express your answer in vector form.) B =         T

In the diagram attached, how do we find the net magnetic field at point P? Given:  I = 20 A  a = 0.30 m  x = 0.40 m And please describe in detail how to find the angle and the associated geometry.

Two very long wires are parallel to each other separated by a distance d.  The same current flows through each wire but in opposite directions.  See the arrows in the diagram.  Let I = 1 Amp and d = 0.1 meter. a)  What is the direction of the net magnetic field due to the two, long wires in the space between the wires? Explain your answer. b)  Calculate the magnitude of the net field at point P, which is half-way between the wires. c)  Calculate the magnitude of the magnetic force per unit length due to wire #1 on #2. d)  Determine the direction of the force calculated in part (c) and explain your answer.

A flexible copper cable forms a conducting loop in the presence of a magnetic field of strength 5.0 x 10-3 T into the page, as shown at left. The ends of the wire pass through a narrow rubber ring and are finally attached to a 10-0 resistor . The resistor is then pulled downward, pulling the wire through the ring and reducing the size of the loop. Assume that the resistor is carefully pulled at a speed so that the area of the loop diminishes at a rate of 0.10 m2/s. a) What emf is induced in the wire?b) In which direction, clockwise or counterclockwise, will the induced current start to flows in the wire loop? c) Assuming the resistance of the copper cable is negligible, what is the current through the resistor?

A loop of wire in the shape of a rectangle of width w and length L and a long, straight wire carrying a current I lie on a tabletop as shown in the figure below. L In (a) Determine the magnetic flux through the loop due to the current I. (Use any variable stated above along with the following as necessary: μ.) MOIL 2π W h+w h (b) Suppose the current is changing with time according to I = a + bt, where a and b are constants. Determine the magnitude of the emf (in V) that is induced in the loop if b = 12.0 A/s, h = 1.00 cm, w = 15.0 cm, and L = 1.50 m. 9.98e-05 How do you determine the induced emf from your equation for the flux from part (a)? V