A circular loop of wire with a radius of 12.0 cm and oriented in the horizontal xy -plane is located in a region of uniform magnetic field. A field of 1.5 T is directed along the positive Z -direction, which is upward, (a) If the loop is removed from the field region in a time interval of 2.0 ms, find the average emf that will be induced in the wire loop during the extraction process, (b) If the coil is viewed looking down on it from above, is the induced current in the loop clockwise or counterclockwise?
A circular loop of wire with a radius of 12.0 cm and oriented in the horizontal xy -plane is located in a region of uniform magnetic field. A field of 1.5 T is directed along the positive Z -direction, which is upward, (a) If the loop is removed from the field region in a time interval of 2.0 ms, find the average emf that will be induced in the wire loop during the extraction process, (b) If the coil is viewed looking down on it from above, is the induced current in the loop clockwise or counterclockwise?
A circular loop of wire with a radius of 12.0 cm and oriented in the horizontal xy-plane is located in a region of uniform magnetic field. A field of 1.5 T is directed along the positive Z-direction, which is upward, (a) If the loop is removed from the field region in a time interval of 2.0 ms, find the average emf that will be induced in the wire loop during the extraction process, (b) If the coil is viewed looking down on it from above, is the induced current in the loop clockwise or counterclockwise?
If a circular loop of wire of radius 17.0 cm is located in a region where the spatially uniform magnetic field perpendicular to the plane of the loop is changing at a rate of +1.7 ✕ 10−3 T/s, find the value of the induced EMF in this loop due to this changing magnetic field.
A square wire with side a = 0.085 m is in a time-varying magnetic field with magnitude B(t) = At, where A = 0.15 T/s. The plane in which the square is located has an angle θ with the direction of B.
Express the magnitude of the magnetic flux going through the loop, Φ, in terms of A, t, a and θ.
a. Express the derivative of the flux with respect of time, dΦ/dt.
b. Express the magnitude of the emf induced in the loop, ε, in terms of A, a, and θ.
c. Calculate the numerical value of ε when θ = 0, in volts.
d. Calculate the numerical value of ε when θ = 90°, in volts.
A circular loop of wire of radius r = 1.0 m is placed in a region where an external uniform magnetic field is perpendicular to the plane of the loop. The external magnetic field vector points in, perpendicular to the page. During the course of 0.150 seconds, the field magnitude B is DECREASED uniformly (i.e., linearly in time) from 0.64 T to 0.25 T.
(a) What is the direction of the induced current i in the loop, clockwise or counterclockwise. Please indicate this direction by drawing a curved arrow at the wire. What is the direction of the induced magnetic field, in or out?
(b) What is the magnitude ε of the average induced electromotive force (emf)?
(c) If the resistance of the wire is 2.00 ohms, then what is the magnitude of the induced current? How much heat is created in a period of 1.0 minute?
Chapter 29 Solutions
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