**Current Attempt in Progress**A circular coil (720 turns, radius = 0.084 m) is rotating in a uniform magnetic field. At \( t = 0 \) s, the normal to the coil is perpendicular to the magnetic field. At \( t = 0.021 \) s, the normal makes an angle of 45° with the field because the coil has made one-eighth of a revolution. An average emf of magnitude 0.048 V is induced in the coil. Find the magnitude of the magnetic field at the location of the coil.**Number:** [Input Box]**Units:** [Dropdown Menu]---**Explanation:**This problem involves a circular coil rotating in a uniform magnetic field, resulting in an induced electromotive force (EMF). The key parameters provided are:- The coil has 720 turns.- The radius of the coil is 0.084 meters.- At time \( t = 0 \) seconds, the normal to the coil is perpendicular to the magnetic field.- At time \( t = 0.021 \) seconds, the normal makes an angle of 45° with the magnetic field, indicating the coil has rotated one-eighth of a revolution.- An average EMF of 0.048 volts is induced in the coil during this rotation.To solve for the magnetic field magnitude, you may need to use Faraday's Law of Induction and the formula for induced EMF, considering the change in magnetic flux through the coil over the given time period.

Write the expression for the induced emf. Here, N is the number of turns, B is the magnetic field,…

A circular coil (720 turns, radius = 0.084 m) is rotating in a uniform magnetic field. At t=0 s, the normal to the coil is perpendicular to the magnetic field. At t = 0.021 s, the normal makes an angle of 45° with the field because the coil has made one-eighth of a revolution. An average emf of magnitude 0.048 V is induced in the coil. Find the magnitude of the magnetic field at the location of the coil. Number Units

A circular coil (720 turns, radius = 0.084 m) is rotating in a uniform magnetic field. At t=0 s, the normal to the coil is perpendicular to the magnetic field. At t = 0.021 s, the normal makes an angle of 45° with the field because the coil has made one-eighth of a revolution. An average emf of magnitude 0.048 V is induced in the coil. Find the magnitude of the magnetic field at the location of the coil. Number Units

Physics for Scientists and Engineers

10th Edition

ISBN:9781337553278

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter30: Faraday's Law

Section: Chapter Questions

Problem 41AP: Figure P30.41 shows a compact, circular coil with 220 turns and radius 12.0 cm immersed in a uniform...

See similar textbooks

Similar questions

A 50-turn rectangular coil with dimensions 0.15m0.40m rotates in a uniform magnetic field of magnitude 0.75 T at 3600 rev/min. [a) Determine the emf induced in the coil as a function of time, (b) If the coil is connected to a 1000 resistor, what is the power as a function of time required to keep the coil turning at 3600 rpm? (c) Answer part (b) if the coil is connected to a 2000 resistor.
Shown below is a conducting rod that slides along metal rails. The apparatus is in a uniform magnetic field of strength 0.25 T, which is directly into the page. The rod is pulled to the right at a constant speed of 5.0 m/s by a force . The only significant resistance in the circuit comes from the 2.0resistor shown. (a) What is the emf induced in the circuit? (b) What is the induced current? Does it circulate clockwise or counter clockwise? (c) What is the magnitude of(d) What are the power output of and the power dissipated in the resistor?
A square, flat loop of wire is pulled at constant velocity through a region of uniform magnetic field directed perpendicular to the plane of the loop as shown in Figure OQ31.5. Which of the following statements are correct? More than one statement may be correct. (a) Current is induced in the loop in the clockwise direction. (b) Current is induced in the loop in the counterclockwise direction. (c) No current is induced in the loop. (d) Charge separation occurs in the loop, with the top edge positive. (e) Charge separation occurs in the loop, with the top edge negative. Figure OQ31.5
Figure P30.41 shows a compact, circular coil with 220 turns and radius 12.0 cm immersed in a uniform magnetic field parallel to the axis of the coil. The rate of change of the field has the constant magnitude 20.0 mT/s. (a) What additional information is necessary to determine whether the coil is carrying clockwise or counterclockwise current? (b) The coil overheats if more than 160 W of power is delivered to it. What resistance would the coil have at this critical point? (c) To run cooler, should it have lower resistance or higher resistance? Figure P30.41
Magnetic field values are often determined by using a device known as a search coil. This technique depends on the measurement of the total charge passing through a coil in a time interval during which the magnetic flux linking the windings changes either because of the coils motion or because of a change in the value of B. (a) Show that as the flux through the coil changes from 1 to 2, the charge transferred through the coil is given by Q = N(2 1)/R, where R is the resistance of the coil and N is the number of turns. (b) As a specific example, calculate B when a total charge of 5.00 104 C passes through a 100-turn coil of resistance 200 and cross-sectional area 40.0 cm2 as it is rotated in a uniform field from a position where the plane of the coil is perpendicular to the field to a position where it is parallel to the field.
You wish to move a rectangular loop of wire into a region of uniform magnetic field at a given speed so as to induce an emf in the loop. The plane of the loop must remain perpendicular to the magnetic field lines. In which orientation should you hold the loop while you move it into the region of magnetic field so as to generate the largest emf? (a) with the long dimension of the loop parallel to the velocity vector (b) with the short dimension of the loop parallel to the velocity vector (c) either way because the emf is the same regardless of orientation
Review. Consider a capacitor with vacuum between its large, closely spaced, oppositely charged parallel plates. (a) Show that the force on one plate can be accounted for by thinking of the electric field between the plates as exerting a negative pressure equal to the energy density of the electric field. (b) Consider two infinite plane sheets carrying electric currents in opposite directions with equal linear current densities Js. Calculate the force per area acting on one sheet due to the magnetic field, of magnitude 0Js/2, created by the other sheet. (c) Calculate the net magnetic field between the sheets and the field outside of the volume between them. (d) Calculate the energy density in the magnetic field between the sheets. (e) Show that the force on one sheet can be accounted for by thinking of the magnetic field between the sheets as exerting a positive pressure equal to its energy density. This result for magnetic pressure applies to all current configurations, not only to sheets of current.
In each of parts (a) through (c) of Figure P30.2. Had the direction of the current in the wire that would produce a magnetic field directed as shown.
Consider the system pictured in Figure P28.26. A 15.0-cm horizontal wire of mass 15.0 g is placed between two thin, vertical conductors, and a uniform magnetic field acts perpendicular to the page. The wire is free to move vertically without friction on the two vertical conductors. When a 5.00-A current is directed as shown in the figure, the horizontal wire moves upward at constant velocity in the presence of gravity. (a) What forces act on the horizontal wire, and (b) under what condition is the wire able to move upward at constant velocity? (c) Find the magnitude and direction of the minimum magnetic Field required to move the wire at constant speed. (d) What happens if the magnetic field exceeds this minimum value? Figure P28.26
A Two long, straight, parallel wires are shown in Figure P30.18. The current in the wire on the left is double the current in the wire on the right. Find an expression for the magnetic field at points A and B. Use the indicated coordinate system to write your answer in component form.
Unreasonable Results Frustrated by the small Hall voltage obtained in blood flow measurements, a medical physicist decides to increase the applied magnetic field strength to get a 0.500V output for blood moving at 30.0 cm/s in a 1.50cmdiameter vessel. (a) What magnetic field strength is needed? (b) What is unreasonable about this result? (c) Which premise is responsible?
The bar in Figure OQ31.6 moves on rails to the right with a velocity v,. and a uniform, constant magnetic field is directed out of the page. Which of the following statements are correct? More than one statement may be correct. (a) The induced current in the loop is zero. (b) The induced current in the loop is clockwise. (c) The induced current in the loop is counterclockwise. (d) An external force is required to keep the bar moving at constant speed. (e) No force is required to keep the bar moving at constant speed.