A magnetic field passes through a stationary wire loop, and its magnitude changes in time according to the graph in the drawing. The direction of the field remains constant, however. There are three equal time intervals indicated in the graph: 0 – 3.0 s, 3.0 – 6.0 s, and 6.0 – 9.0 s. The loop consists of 57 turns of wire and has an area of 0.12 m2. The magnetic field is oriented parallel to the normal to the loop. For purposes of this problem, this means that φ = 0˚ in Equation 22.2. (a) For each interval, determine the induced emf. (b) The wire has a resistance of 0.50 Ω. Determine the induced current for the first and third intervals.
The emf is given by the rate of change of flux.
The total area is 57 * 0.12
The rate of change of B is 0.4/3 , 0 , and - 0.2/3 for the three
intervals.
Giving an emf of
a) 0.4 /3 * 57 * 0.12 = 0.91 V
b) zero
c) - 0.2 / 3 * 57 * 0.12 = -0.45 V
And for the current. I = V/R
so for the intervals it is
a) 0.91 / 0.50 = 1.82 A
b) zero
c) - 0.45 / 0.5 = - 0.9 A
A magnetic field passes through a stationary wire loop, and its magnitude changes in time according...
A magnetic field passes through a stationary wire loop, and its magnitude changes in time according to the graph in the drawing. The direction of the field remains constant, however There are three equal time intervals indicated in the graph: 0-3.0 s, 3.0-6.0 s, and 6.0-9.0 s. The loop consists of 53 turns of wire and has an area of 0.20 m2. The magnetic field is oriented parallel to the normal to the loop. For purposes of this problem, this...
A magnetic field passes through a stationary wire loop, and its magnitude changes in time according to the graph in the drawing. The direction of the field remains constant, however. There are three equal time intervals indicated in the graph: 0 - 3.0 s, 3.0 - 6.0 s, and 6.0 - 9.0 s. The loop consists of 55 turns of wire and has an area of 0.15 m2. The magnetic field is oriented parallel to the normal to the loop....
thank you in advance for your help! A magnetic field passes through a stationary wire loop, and its magnitude changes in time according to the graph in the drawing. The direction of the field remains constant, however. There are three equal time intervals indicated in the graph: 0 - 3.0 s, 3.0 - 6.0 s, and 6.0 - 9.0 s. The loop consists of 43 turns of wire and has an area of 0.13 m2. The magnetic field is oriented...
nt to p in the loop? (b) If the magnetic field r of 2.1 T, what is the magnitude of the ra verage emf has the 24. A uniform magnetic field is perpendi circular coil. The magnitude of the fiel in of basi rs, and o ummaie Section 22.4 Faraday's Law of Electromagnetic Induction 18. A magnetic field passes through a stationary wire loop, and its magnitude changes in time according to the graph in the drawing. The direction of...
A uniform magnetic field passes through a horizontal circular wire loop at an angle 17.3° from the normal to the plane of the loop. The magnitude of the magnetic field is 2.75 T , and the radius of the wire loop is 0.220 m . Find the magnetic flux Φ through the loop.
The magnetic flux that passes through one turn of a 10-turn coil of wire changes to 3.0 Wb from 9.0 Wb in a time of 0.024 s. The average induced current in the coil is 100 A. What is the resistance of the wire?
A magnetic field of magnitude 1.42 T is perpendicular to the plane of a circular wire loop. As the magnetic field decreases to zero in a time of 0.0314 s, the average induced emf is 0.284 V. What is the radius of the loop?
A uniform magnetic field is at right angles to the plane of a wire loop. The field decreases by 0.16 Tin 3.0×10−3 s and the magnitude of the average emf induced in the loop is 79 V . A) What is the area of the loop? (in m^2) B) What would be the value of the average induced emf if the field change was the same but took twice as long to decrease? (in Volts)
A 14.5-cm-diameter loop of wire is initially oriented perpendicular to a 1.4-T magnetic field. The loop is rotated so that its plane is parallel to the field direction in 0.15 s . What is the average induced emf in the loop?
A 14.5-cm-diameter loop of wire is initially oriented perpendicular to a 1.4-T magnetic field. The loop is rotated so that its plane is parallel to the field direction in 0.15 s . What is the average induced emf in the loop?