1. The current I through a long solenoid with n turns per meter and radius 0.30m is changing with time as given by /=sin(120t). The magnetic field inside a solenoid is given by B=nuol where Ho is the free space permeability Ho=1.26-10-6 H/m. What is the magnetic flux through a single coil at a time of t= 1.1 s at distance r= 0.25 m from the center of the solenoid if there are, n=108 turns/m? a) Start by determining the flux through a gaussian loop of radius r=0.25 m centered in the middle of the solenoid. Hint: Is the angle for the sine function in degrees or radians? B=nuosin(120t) ²2²= VTm² b) Next determine the rate of change of the magnetic flux with time d (nuosin(120t)²) = Tm²/s dt $B= d dt |§E·a|-|-dd₂| Recall that the symmetry of the c) The electic field can then be determined from dt problem means the electric field is constant when integrating around the loop. E= V/m

1. The current I through a long solenoid with n turns per meter and radius 0.30m is changing with time as given by /=sin(120t). The magnetic field inside a solenoid is given by B=nuol where Ho is the free space permeability Ho=1.26-10-6 H/m. What is the magnetic flux through a single coil at a time of t= 1.1 s at distance r= 0.25 m from the center of the solenoid if there are, n=108 turns/m? a) Start by determining the flux through a gaussian loop of radius r=0.25 m centered in the middle of the solenoid. Hint: Is the angle for the sine function in degrees or radians? B=nuosin(120t) ²2²= VTm² b) Next determine the rate of change of the magnetic flux with time d (nuosin(120t)²) = Tm²/s dt $B= d dt |§E·a|-|-dd₂| Recall that the symmetry of the c) The electic field can then be determined from dt problem means the electric field is constant when integrating around the loop. E= V/m

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Magnetic Field Of Coaxial Cable

The word coaxial means same axis. So for a long straight cable to be coaxial, it must have concentric cylindrical shaped conductor around it. Coaxial cable (popularly called ‘coax’) has various applications ranging from current conductors to radiofrequency signal transmitters. This cable has lower emission losses and provides protection from electromagnetic interference which allows signals with less power to transmit over longer distances.For example, currents produced in the pickup of a stereo turntable generally travel to the amplifier through a coaxial cable.The self-inductance of a coaxial cable is another important characteristic, because it influences the propagation of electrical signals in the cable.

Question

1. The current I through a long solenoid with n turns per meter and radius 0.30m is changing with time
as given by /=sin(120t). The magnetic field inside a solenoid is given by B=nuol where μo is the free
space permeability Ho=1.26-10-6 H/m.
What is the magnetic flux through a single coil at a time of t= 1.1 s at distance r= 0.25 m from the
center of the solenoid if there are, n=108 turns/m?
a) Start by determining the flux through a gaussian loop of radius r=0.25 m centered in the middle of
the solenoid. Hint: Is the angle for the sine function in degrees or radians?
B=nuosin(120t) ² =
VTm²
b) Next determine the rate of change of the magnetic flux with time
d
Tm²/s
dt
d
B=(nuosin(120t) π²) =
dt
| fe·a|=|de|
dt
Recall that the symmetry of the
problem means the electric field is constant when integrating around the loop.
E=
VV/m
c) The electic field can then be determined from
B

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