When a magnetic field is first turned on, the flux through a 35-turn loop varies with time according to 4m = 9.ot2 - 7.0t, where 4, is in milliwebers, t is in seconds, and the loop is in the plane of the page with the unit normal pointing outward.(a) What is the emf (in mv) induced in the loop as a function of time? (Use the following as necessary: t. Do not include units in your answer.)E =What is the direction of the induced current at the following times?(b) t = 0sO clockwiseO counterclockwiseO The magnitude is zero.(c) t = 0.10 sclockwisecounterclockwiseThe magnitude is zero.(d) t = 1.0 sO clockwisecounterclockwiseO The magnitude is zero.(e) t = 2.0 sO clockwisecounterclockwiseO The magnitude is zero.

using electromagnetic induction concept and Lenz's law

When a magnetic field is first turned on, the flux through a 35-turn loop varies with time according to m = 9.0t2 - 7.0t, where , is in milliwebers, t is in seconds, and the loop is in the plane of the page with the unit normal pointing outward. (a) What is the emf (in mv) induced in the loop as a function time? (Use the following as necessary: t. Do not include units in your answer.) What is the direction of the induced current at the following times? (b) t= 0s O clockwise O counterclockwise O The magnitude is zero. (c) t = 0.10 s O clockwise O counterclockwise O The magnitude is zero. (d) t= 1.0 s O clockwise O counterclockwise O The magnitude zero. (e) t= 2.0 s O clockwise O counterclockwise O The magnitude is zero.

When a magnetic field is first turned on, the flux through a 35-turn loop varies with time according to m = 9.0t2 - 7.0t, where , is in milliwebers, t is in seconds, and the loop is in the plane of the page with the unit normal pointing outward. (a) What is the emf (in mv) induced in the loop as a function time? (Use the following as necessary: t. Do not include units in your answer.) What is the direction of the induced current at the following times? (b) t= 0s O clockwise O counterclockwise O The magnitude is zero. (c) t = 0.10 s O clockwise O counterclockwise O The magnitude is zero. (d) t= 1.0 s O clockwise O counterclockwise O The magnitude zero. (e) t= 2.0 s O clockwise O counterclockwise O The magnitude is zero.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter32: Faraday’s Law Of Induction

Section: Chapter Questions

Problem 63PQ

See similar textbooks

Similar questions

A single-turn circular loop of wire of radius 50 mm lies in a plane perpendicular to a spatially uniform magnetic field. During a 0.10-s time interval, the magnitude of the field Increases uniformly from 200 to 300 mT. (a) Determine the emf Induced in the ioop. (b) If the magnetic field is directed out of the page, what is the direction of the cun-ent induced in the loop?
The normal to tt plane of a single-turn conducting loop is directed at an angle to a spatially uniform magnetic field B. It has a fixed area and orientation relative to the magnetic fleck Show that the emf induced In the loop is given by i = (dB/dt)(Acos),where A is the area of the loop.
Two long, parallel wires cy equal currents in opposite directions. The radius of each wire is a, and the distance between the centers of the wires is d, Show that if the magnetic flux within the wires themselves can be ignored, the self-inductance of a length 1 of such a pair of wires is L 0 l in d1 a (Hint Calculate the magnetic flux through a rectangle of length 1 between the wires and then use L=N/I
A flat, square coil of 20 turns that has sides of length 15.0 cm is rotating in a magnetic field of strength 0.050 T. If tlie maximum emf produced in die coil is 30.0 mV, what is the angular velocity of the coil?
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?
A time-dependent uniform magnetic field of magnitude B(t) is confined in a cylindrical region of radius R. A conducting rod of length 2D is placed in the region, as shown below. Show that the emf between the ends of the rod is given by dBdtDR2D2 . ( Hint: To find the between the ends, we need to integrate the electric field from one end to the other. To find the electric field, use Faraday’s law as “Ampere’s law for E”.)
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.
Suppose the parallel-plate capacitor shown below is accumulating charge at a rate of 0.010 C’s. What is the induced magnetic field at a distance of 10 cm from the capacitator?
An automobile with a radio antenna 1.0 m long travels at 100.0 km/h in a location where theEarth’s horizontal magnetic field is 5.5105T . What is the maximum possible emf induced in the antenna due to this motion?
The normal to the plane of a single-turn conducting loop is directed at an angle θ to a spatially uniform magnetic field B → . It has a fixed area and orientation relative to the magnetic field. Show that the emf induced in the loop is given by ε = (dB/dt)(A cos θ), where A is the area of the loop.
When a magnetic field is first turned on, the flux through a 20-turn loop varies with time according to Φm = 5.0t2 − 2.0t, where Φm is in milliwebers, t is in seconds, and the loop is in the plane of the page with the unit normal pointing outward. (a) What is the emf induced in the loop as a function of time? What is the direction of the induced current at (b) t = 0, (c) 0.10, (d) 1.0, and (e) 2.0 s?
In figure below, the magnetig flux through the circular loop of radius r = 1.8 m increases according to the relation ΦB = 5 t2 + 5t + 3, where ΦB is in Webers and t is in seconds. What is the magnitude and direction (clockwise or counterclockwise) of the induced current in the circular loop at t = 1.5 s if the loop has a total resistance of R = 12 Ω? (Choose clockwise direction as the positive and express the direction of the current by using plus or minus signs in the result, which must be in units of Amperes and include 2 digit after the decimal point. That means if you get a result of 9.22 and the direction of the current is clockwise, just type 9.22 or if you find the direction of the current to be counterclockwise, just type -9.22 in the answer box. Maximum of 5% of error is accepted in your answer.)