A circular coil of radius 0.66 m is placed in a time-varying magnetic field B(t) = (4.80 x 10-4) sin [(50.3 x 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. 0.000785 X |E(t = 0.001)| Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. V/m 0.0078 X = Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. V/m |E(t = 0.01)|

A circular coil of radius 0.66 m is placed in a time-varying magnetic field B(t) = (4.80 x 10-4) sin [(50.3 x 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. 0.000785 X |E(t = 0.001)| Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. V/m 0.0078 X = Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. V/m |E(t = 0.01)|

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 square loop with side length L, mass M, and resistance R lies in the xy plane. A magnetic field B = B0(y/L) k is present in the region of the space near the loop. Determine the magnitude and direction of the induced current in the loop as the loop starts moving at velocity v = B0(y/L) j.
A thin conducting bar (60.0 cm long) aligned in the positive y direction is moving with velocity v=(1.25m/s)i in a region with a spatially uniform 0.400-T magnetic field directed at an angle of 36.0 above the xy plane. a. What is the magnitude of the emf induced along the length of the moving bar? b. Which end of the bar is positively charged?
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
The square armature coil of an alternating current generator has 200 turns and is 20.0 cm on side. When it rotates at 3600 rpm, its peak output voltage is 120 V. (a) Wliat is the frequency' of the output voltage? (b) What is the strength of the magnetic field in which the coil is turning?
A uniform magnetic field B=5.44104iT passes through a closed surface with a slanted top as shown in Figure P31.59. a. Given the dimensions and orientation of the closed surface shown, what is the magnetic flux through the slanted top of the surface? b. What is the net magnetic flux through the entire closed surface?
A parallel-plate capacitor with plate separation d is connected to a source of emf that places a time-dependent voltage V(t) across its circular plates of radius r0and area (a) Write an expression for the time rate of change of energy inside the capacitor in terms of V(t) and dV(t)/ dt. (b) Assuming that V(t) is increasing with time, identify the directions of the elecuic field lines inside the capacitor and of the magnetic field lines at the edge of the region between the plates, and then the direction of the Poynting vector S at this location. (c) Obtain expressions for the time dependence of E(t), for B(t) from the displacement current, and for the magnitude of the Poynting vector at the edge of the region between the plates. (d) From S , obtain an expression In terms of ‘(t) and dV(t)/dt for the rate at which electromagnetic field energy the region between the plates. (e) Compare the results of pails (a) and (d) and explain the relationship between them.
An electromagnetic wave with a peak magnetic field magnitude of 1.50 107 T has an associated peak electric field of what magnitude? (a) 0.500 1015 N/C (b) 2.00 105 N/C (c) 2.20 104 N/C (d) 45.0 N/C (e) 22.0 N/C
A circular coil of radius 0.54 m is placed in a time-varying magnetic field B(t) = (5.60 x 10-4) sin[(62.8 x 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 = 0.001s and t = 0.01 s. |E(t = 0.001)| = |E(t = 0.01)| = Need Help? Master It V/m V/m
A circular coil of radius 0.54 m is placed in a time-varying magnetic field B(t) = (6.20 × 10-4) sin[(18.8 x 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)| |E(t = 0.01)| = = V/m V/m
A circular coil of radius 0.54 m is placed in a time-varying magnetic field B(t) = (6.60 × 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 = IE(t-0.001) |E(t = 0.01)| V/m V/m = 0.01 s.