A 100-turn square coil of side 20.0 cm rotates about a vertical axis at 4.8 ×103 rev/min as indicated in the figure. The horizontal component of the Earth's magnetic field at the coil's location is equal to 2.00 x 10 5T. Calculate the maximum emf induced ( in units of mV) in the coil by this field. 20.0 cm |20.0 cm Select one:

A 100-turn square coil of side 20.0 cm rotates about a vertical axis at 4.8 ×103 rev/min as indicated in the figure. The horizontal component of the Earth's magnetic field at the coil's location is equal to 2.00 x 10 5T. Calculate the maximum emf induced ( in units of mV) in the coil by this field. 20.0 cm |20.0 cm Select one:

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter13: Electromagnetic Induction

Section: Chapter Questions

Problem 37P: An automobile with a radio antenna 1.0 m long travels at 100.0 km/h in a location where theEarth’s...

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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?
If electric and magnetic field strengths vary sinusoidally in time at frequency 1.00 GHz, being zero at t=0, then E=E0sin2ft. (a) When are the field strengths next equal to zero? (b) 4Jhen do they reach their most negative value? (c) How much time is needed for them to complete one cycle?
Check Your Understanding What Is the magnitude of the induced electric field in Example 13.8 at t=0 if r= 6.0cm, R= 2.0cm,n = 2000 turnspermeter, I0= 2.0A, and a = 200s-1?
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 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.
A coil of area 0.100 m2 is rotating at 60.0 rev/s with the axis of rotation perpendicular to a 0.200-T magnetic field. (a) If the coil has 1 000 turns, what is the maximum emf generated in it? (b) What is the orientation of the coil with respect to the magnetic field when the maximum induced voltage occurs?
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 long solenoid with n= 10 turns per centimeter has a cross-sectional area of 5.0 cm2and carries a current of 0.25 A. A coil with five turns encircles the solenoid. When the current through the solenoid is turned off, it decreases to zero in 0.050 s. What is the average emf induced in the coil?
On its highest power setting, a microwave oven increases the temperature of 0.400 kg of spaghetti by 45.0°C in 120 s. (a) What was the rate of energy absorption by the spaghetti, given that its specific heat is 3.76103J/kg.C ? Assume the spaghetti is perfectly absorbing. (b) Find the average intensity of the microwaves, given that they are absorbed over a circular area 20.0 cm in diameter. (C) What is the peak electric field strength of the microwave? (d) What is its peak magnetic field strength?
Use Lenz’s law to determine tl direction of induced current in each case.
A spatially uniform magnetic field is restricted in a circular region of spacewith radius of 2.5 cm and has a constant direction; see figure below. If themagnetic field varies with time t as B(t) = (25 mT/s^2)t^2, what is the magnitude of the induced electric field at a distance of 4.00 cm from the center of the magnetic field region at t = 2 s?
A 2800-turn circular coil of wire has an area of 2.270 x 10-2 m2. It is placed with its axis along the direction of the Earth's magnetic field. Assume that the magnitude of the magnetic field of the earth at that location to be 61 x 10-6 T. a) What isthe magnitude of the voltage induced in the coil if you can flip the coil by 180° in 0.185seconds? Provide the answer in Volts. b) What is the magnitude of the voltage induced in the coil if you can flip the coil by 90° in 0.185seconds? Provide the answer in Volts.