The width of the loop is 0.2 m and the length is 0.5 m (actually, the length is not relevant to this problem)
The magnetic field is B = -0.6 T and the velocity is -10 m/s (since it is leftwards) (again, since only the magnitude of the voltage is required, the signs are not important)
The voltage is induced by the change in the flux associated with the loop. Assuming the magnetic field to not have any edge effects and being perpendicular to the loop, the flux that passes through the loop is the magnetic field times the area of the part of the loop that is inside the field.
Since the magnetic field does not change, it comes out of the differentiated part.
The area inside the loop is
where l_0 was the initial length that was inside the magnetic field at t=0 s.
Thus, the rate of change of the flux is then:
The induced voltage is given by:
A rectangular loop of wire is pushed into a region of uniform magnetic field. Given the...
will rate, thanks!
A rectangular loop of wire is pushed into a region of uniform magnetic field. Given the data in the figure, what is the magnitude of the emf induced in the one-turn loop? B Into page B0.60T 0.20m 10m's ☺ 0.50 0.300 V 0.120 V O 1.20 V 6.00 V O 3.00 V
A rectangular loop of wire is pushed into a region of uniform magnetic field. Given the data in the figure, what is the magnitude of the emf induced in the one-turn loop? B into page B=0.60 T 0.20 m 10 ms ® 0.50 m 3.00 V 0.120 V 1.20 V 0.300 V 6.00 V
A rectangular loop of wire lays flat on a table in a uniform magnetic field of 4.0x10^-2 T. The length of the rectangle is 2.5x10^-2 m, and the width is stretched smoothly from 5.0x10^-2 m to 7.5x10^-2 m in 0.3 seconds. How much emf is induced in the loop?
A uniform magnetic field is at right angles to the plane of a wire loop. The field decreases by 0.16 Tin 3.0×10−3 s and the magnitude of the average emf induced in the loop is 79 V . A) What is the area of the loop? (in m^2) B) What would be the value of the average induced emf if the field change was the same but took twice as long to decrease? (in Volts)
a wire loop of
diameter 15 cm is inside a spatially uniform magnetic field of
magnitude .5 T. with the field lines perpendicular to the face of
the loop. what is the magnitude if the emf induced in the loop of
the magnetic field drops uniformly to 0 T in 1 second
c) a and c a, b and c d) e) c Question 14 A wire loop of diameter 15 cm is inside a spatially uniform magnetic field of...
Motional EMF A single rectangular loop is pulled out of a region of uniform magnetic field at a con- stant speed v. Suppose that the loop has a mass m and a resistance R. Its cross- sectional width is L, as shown. 1. Find the induced EMF in the loop. Express your FINAL answer in terms of B, L, and v only 2. Find the induced current, including direction. Express your FINAL answer in terms of B L, v, and...
24 A circular loop of wire is in a region of spatially uniform magnetic field directed into the page. Determine the direction of the induced current (as viewed from above) when the magnitude of the magnetic field is increasing. a. Clockwise b. Counterclockwise c. No current flows. 25 An electron enters a region where the uniform magnetic field strength is 4.0 T at a velocity of 4.88 x 10^m/s perpendicular to the field. Determine the radius of gyration of the...
A rectangular loop (area = 0.250 m2) turns in a uniform magnetic field with B = 0.210 T. At an instant when the angle between the magnetic field and the normal to the plane of the loop is π/2 rads and increasing at the rate of 0.530 rad/s, what is the magnitude of the emf induced in the loop? 9.91E–2 V 1.47E–2 V 2.78E–2 V 5.25E–2 V 0
The figure below displays a circular loop of conducting wire in a uniform magnetic field pointing into the page. The radius of the loop is 13.0 cm and the magnitude of the field is 0.110 T. You grab points A and B and pull them in opposite directions, stretching the loop until its area is nearly zero, taking a time of 0.190 s to do so. What is the magnitude of the average induced emf in the loop (in mv)...