A circular coil of radius 0.54 m is placed in a time-varying magnetic field B(t) = (6.00 ✕ 10−4) sin[(18.8 ✕ 102 rad/s) t] where B is in teslas. The magnetic field is perpendicular to the plane of the coil. Find the magnitude of the induced electric field in the coil at t = 0.001 s and t = 0.01 s. |E(t = 0.001)| = v/m |E(t = 0.01)| = V/m

A circular coil of radius 0.54 m is placed in a time-varying magnetic field B(t) = (6.00 ✕ 10−4) sin[(18.8 ✕ 102 rad/s) t] where B is in teslas. The magnetic field is perpendicular to the plane of the coil. Find the magnitude of the induced electric field in the coil at t = 0.001 s and t = 0.01 s. |E(t = 0.001)| = v/m |E(t = 0.01)| = V/m

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter23: Faraday’s Law And Inductance

Section: Chapter Questions

Problem 4OQ: A circular loop of wire with a radius of 4.0 cm is in a uniform magnetic field of magnitude 0.060 T....

See similar textbooks

Similar questions

A flat loop of wire consisting of a single turn of cross-sectional area 8.00 cm2 is perpendicular to a magnetic field that increases uniformly in magnitude from 0.500 T to 2.50 T in 1.00 s. What is the resulting induced current if the loop has a resistance of 2.00 ?
A conducting single-turn circular loop with a total resistance of 5.00 is placed in a time-varying magnetic field that produces a magnetic flux through the loop given by B = a + bt2 ct3, where a = 4.00 Wb, b = 11.0 Wb/s2, and c = 6.00 Wb/s3. B is in webers, and t is in seconds. What is the maximum current induced in the loop during the time interval t = 0 to t = 3.50 s?
The magnetic flux through a metal ring varies with time t according to (B = at3 bt2, where (B is in webers, a = 6.00 s3, b = 18.0 s2, and t is in seconds. The resistance of the ring is 3.00 . For the interval from t = 0 to t = 2.00 s, determine the maximum current induced in the ring.
A circular loop of wire with a radius of 4.0 cm is in a uniform magnetic field of magnitude 0.060 T. The plane of the loop is perpendicular to the direction of the magnetic field. In a time interval of 0.50 s, the magnetic field changes to the opposite direction with a magnitude of 0.040 T. What is the magnitude of the average emf induced in the loop? (a) 0.20 V (b) 0.025 V (c) 5.0 mV (d) 1.0 mV (e) 0.20 mV
A rectangular conducting loop with dimensions w = 32.0 cm and h = 78.0 cm is placed a distance a = 5.00 cm from a long, straight wire carrying current I = 7.00 A in the downward direction (Fig. P32.75). a. What is the magnitude of the magnetic flux through the loop? b. If the current in the wire is increased linearly from 7.00 A to 15.0 A in 0.230 s, what is the magnitude of the induced emf in the loop? c. What is the direction of the current that is induced in the loop during this time interval?
A circular coil of radius 0.66 m is placed in a time-varying magnetic field B(t) = (6.00 ✕ 10−4) sin[(69.1 ✕ 102 rad/s) t] where B is in teslas. The magnetic field is perpendicular to the plane of the coil. Find the magnitude of the induced electric field in the coil at t = 0.001 s and t = 0.01 s.
A wire loop of area A = 0.574 m2 is placed perpendicular to a constant magnetic field of magnitude B = 1.62 T. If it is then spun around one of its sides with a frequency f = 176 Hz, what is the maximum magnitude of the emf induced in the loop?
A planar loop consisting of four turns of wire, each of which encloses 200 cm², is oriented perpendicularly to a magnetic field that increases uniformly in magnitude from 10 mT to 25 mT in a time of 5.0 ms. What is the resulting induced current in the coil if the resistance of the coil is 5.0 Ω
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?
A rectangular loop of area A = 0.160 m2 is placed in a region where the magnetic field is perpendicular to the plane of the loop. The magnitude of the field is allowed to vary in time according to B = 0.350 e-t/2.00, where B is in teslas and t is in seconds. The field has the constant value 0.350 T for t < 0. What is the value for ε at t = 4.00 s?
A rectangular loop of area A = 0.150 m2 is placed in a region where the magnetic field is perpendicular to the plane of the loop. The magnitude of the field is allowed to vary in time according to B = 0.550e−t/2.00, where B is in teslas and t is in seconds. The field has the constant value 0.550 T for t < 0. What is the value for at t = 8.000 s?
This time the magnetic field maintains a constant value of 0.960 T, and we achieve an induced voltage of 0.187 V over a time period of 1.93 s by keeping the magnetic field fixed but changing the area of the wire loop from its initial value of 0.470 m^2. What is the final value of the loop s area after this time period?