Problem 4: A loop of wire with radius r0.045 m is in a magnetic field withmagnitude B as shown in the figure. B changes from B,-0.45 T to B,-7.5 T inAt = 2.5 sat a constant rate. The resistance of the wire is R 8 ΩRandomized Variablesr0.045 mB,-0.45TB2=7.5 TAt- 2.5 sR=862Part (a_Express the magnetic flux cp going through a loop of radius r assuming aconstam magnetic field B.HOME4 5 6BACKSPACECLEARSubmitHintI give up!Hints: 1% deduction per hint. Hints remaining: 1Feedback: 1% deduction per feedbackPart (b) Express the magnetic flux change, Ф, in terms of B1, B2 and r.Part (c) Calculate the numerical value ofΔΦ in T.mPart (d) Express the magnitude of the average emf, ε, induced in the loop in termsof ΔΦ and Δ▲ Part (e) Calculate the numerical value of the emf in VPart (f) Express the current induced in the loop, I, in terms ofe and kR

a)The expression for the magnetic flux,

Answered: Problem 4: A loop of wire with radius…

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter30: Magnetic Fields And Forces

Section: Chapter Questions

Problem 75PQ

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The conducting rod shown in the accompanying figure moves along parallel metal rails that are 25-cm apart. The system is in a uniform magnetic field of strength 0.75 T, which is directed into the page. The resistances of the rod and the rails are negligible, but the section PQ has a resistance of 0.25 . (a) What is the emf (including its sense) induced in the rod when it is moving to tire right with a speed of 5.0 m/s? (b) What force is required to keep the rod moving at this speed? (c) What is the rate at which work is done by this force? (d) What is the power dissipated in the resistor?
The magnetic field perpendicular to a single sire loop of diameter 10.0 cm decreases fron 0.50 T to zero. The re Is made of copper and has a diameter of 2.0 mm and length 1.0 cm. How much charge moves thrnugh the re while tt field is changing?
An election moves through a uniform electric field E = (2.50i + 5.00j) V/m and a uniform magnetic field B = 0.400k T. Determine the acceleration of the electron when it has a velocity v = 10.0i m/s.
Two frictionless conducting rails separated by l = 55.0 cm are connected through a 2.00- resistor, and the circuit is completed by a bar that is free to slide on the rails (Fig. P32.71). A uniform magnetic field of 5.00 T directed out of the page permeates the region, a. What is the magnitude of the force Fp that must be applied so that the bar moves with a constant speed of 1.25 m/s to the right? b. What is the rate at which energy is dissipated through the 2.00- resistor in the circuit?
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
In Figure P20.65 the rolling axle of length 1.50 m is pushed along horizontal rails at a constant speed v = 3.00 m/s. A resist or R = 0.400 is connected to the rails at points a and b, directly opposite each other. (The wheels make good electrical contact with the rails, so the axle, rails, and R form a closed-loop circuit. The only significant resistance in the circuit is R.) A uniform magnetic field B = 0.800 T is directed vertically downward. (a) Find the induced current I in the resistor. (b) What horizontal force F is required to keep the axle rolling at constant speed? (c) Which end of the resistor, a or b. is at the higher electric potential? (d) Alter the axle rolls past the resistor, does the current in R reverse direction? Explain your answer. Figure P20.65
Sketch a plot of the magnitude of the magnetic field as a function of position r for a coax (Fig. P31.27).
The cross-sectional dimensions of the copper strip shown are 2.0 cm by 2.0 mm. The strip carries a current of 100 A, and it is placed in a magnetic field of magnitude B = 1.5 T. What are the value and polarity of the Hall potential in the copper strip?
A solenoid with an iron core is 25 cm long and is wrapped with 100 turns of wire. When the current through the solenoid is 10 A, the magnetic field inside it is 2.0 T. For this current, what is the permeability of the iron? If the current is turned off and then restored to 10 A, will the magnetic field necessarily return to 2.0 T?
Assume the region to the right of a certain plane contains a uniform magnetic field of magnitude 1.00 mT and the field is zero in the region to the left of the plane as shown in Figure P22.71. An electron, originally traveling perpendicular to the boundary plane, passes into the region of the field. (a) Determine the time interval required for the electron to leave the field-filled region, noting that the electrons path is a semicircle. (b) Assuming the maximum depth of penetration into the field is 2.00 cm, find the kinetic energy of the electron.
When the current through a circular loop is 6.0 A, the magnetic field at its center is 2.0104 T. What is the radius of the loop?
A circular loop of wire of resistance R = 0.500 and radius r = 8.00 cm is in a uniform magnetic field directed out of the page as in Figure P31.54. If a clockwise current of I = 2.50 mA is induced in the loop, (a) is the magnetic field increasing or decreasing in time? (b) Find the rate at which the field is changing with time. Figure P31.54

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