Problem 3: An MRI technician moves his hand from a region of very low magnetic field strength into an MRI scanner's 2.00 T field with his fingers pointing in the direction of the field. His wedding ring has a diameter of 2.3 cm and it takes 0.35 s to move it into the field Randomized Variables d 2.3 cm t0.35 s Δ Part (a) What average current is induced in the ring in A if its resistance is 0.0100 Ω? tan( cos(0) asinacos0 acotan inh0 sin HOME cotan 4 5 6 cos sh)tanh) cotanh0 Degrees O Radians 0 BACKSPACE CLEAR Submit Hint I give up! Hints: 1%-deduction per hint. Hints remaining: 2 Feedback: 1% deduction per feedback. a Part (b) What average power is dissipated in mW? Part (c) What magnetic field is induced at the center of the ring in T?

Problem 3: An MRI technician moves his hand from a region of very low magnetic field strength into an MRI scanner's 2.00 T field with his fingers pointing in the direction of the field. His wedding ring has a diameter of 2.3 cm and it takes 0.35 s to move it into the field Randomized Variables d 2.3 cm t0.35 s Δ Part (a) What average current is induced in the ring in A if its resistance is 0.0100 Ω? tan( cos(0) asinacos0 acotan inh0 sin HOME cotan 4 5 6 cos sh)tanh) cotanh0 Degrees O Radians 0 BACKSPACE CLEAR Submit Hint I give up! Hints: 1%-deduction per hint. Hints remaining: 2 Feedback: 1% deduction per feedback. a Part (b) What average power is dissipated in mW? Part (c) What magnetic field is induced at the center of the ring in T?

Physics for Scientists and Engineers with Modern Physics

10th Edition

ISBN:9781337553292

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter28: Magnetic Fields

Section: Chapter Questions

Problem 26P: Consider the system pictured in Figure P28.26. A 15.0-cm horizontal wire of mass 15.0 g is placed...

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To monitor the breathing of a hospital patient, a thin belt is girded around the patients chest as in Figure P20.21. The belt is a 200-turn coil. When the patient inhales, the area encircled by the coil increases by 39.0 cm2. The magnitude of Earths magnetic field is 50.0 T and makes an angle of 28.0 with the plane of the coil. Assuming a patient takes 1.80 s to inhale, find the magnitude of the average induced emf in the coil during that time. Figure P20.21
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?
100-turn square coil of side 20.0 cm rotates about a vertical axis at 1.50 103 rev/min as indicated in Figure P31.42. The horizontal component of the Earths magnetic field at the coils location is equal to 2.00 105 T. (a) Calculate the maximum emf induced in the coil by this Held, (b) What is the orientation of the coil with respect to the magnetic field when the maximum emf occurs?
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 helicopter (Fig. P30.11) has blades of length 3.00 m, extending out from a central hub and rotating at 2.00 rev/s. If the vertical component of the Earths magnetic field is 50.0 T, what is the emf induced between the blade tip and the center hub? Figure P30.11
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 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
A conducting single-turn circular loop with a total resistance of 5.00 is placed in a time-varying magnetic field that produces a magnetic flux through the loop given by B = a + bt2 ct3, where a = 4.00 Wb, b = 11.0 Wb/s2, and c = 6.00 Wb/s3. B is in webers, and t is in seconds. What is the maximum current induced in the loop during the time interval t = 0 to t = 3.50 s?
Two long, parallel wires carry currents of 20.0 A and 10.0 A in opposite directions (Fig. OQ22.13). Which of the following statements is true? More than one statement may be correct. (a) In region I, the magnetic field is into the page and is never zero. (b) In region II, the field is into the page and can be zero. (c) In region III, it is possible for the field to be zero. (d) In region I, the magnetic field is out of the page and is never zero. (e) There are no points where the field is zero. Figure OQ22.13 Objective Questions 13 and 14.
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 ?
Sketch a plot of the magnitude of the magnetic field as a function of position r for a coax (Fig. P31.27).