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 = nul where μo is the free permeabilitypo=1.26-10-6 H/m. space What is the magnetic flux through a single coil at a time of t= 1.1 s at distance r= 0.29 m from the center of the solenoid if there are, n=123 turns/m? a) Start by determining the flux through a gaussian loop of radius r=0.29 m centered in the middle of the solenoid. Hint: Is the angle for the sine function in degrees or radians? $B=nu sin(120t) ² = ✔Tm² b) Next determine the rate of change of the magnetic flux with time d dt dt E = (nu sin(120t)²) = Tm²/s dD ·|§E·|-|-| Recall that the symmetry of the c) The electic field can then be determined from problem means the electric field is constant when integrating around the loop. ✔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 = nul where μo is the free permeabilitypo=1.26-10-6 H/m. space What is the magnetic flux through a single coil at a time of t= 1.1 s at distance r= 0.29 m from the center of the solenoid if there are, n=123 turns/m? a) Start by determining the flux through a gaussian loop of radius r=0.29 m centered in the middle of the solenoid. Hint: Is the angle for the sine function in degrees or radians? $B=nu sin(120t) ² = ✔Tm² b) Next determine the rate of change of the magnetic flux with time d dt dt E = (nu sin(120t)²) = Tm²/s dD ·|§E·|-|-| Recall that the symmetry of the c) The electic field can then be determined from problem means the electric field is constant when integrating around the loop. ✔V/m
Transcribed Image Text: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 = nul where μo is the free
permeabilitypo=1.26-10-6 H/m.
space
What is the magnetic flux through a single coil at a time of t= 1.1 s at distance r= 0.29 m from the
center of the solenoid if there are, n=123 turns/m?
a) Start by determining the flux through a gaussian loop of radius r=0.29 m centered in the middle of
the solenoid. Hint: Is the angle for the sine function in degrees or radians?
$B=nu sin(120t) ² =
✔Tm²
b) Next determine the rate of change of the magnetic flux with time
d
dt
dt
E =
(nu sin(120t)²) =
Tm²/s
dD
·|§E·|-|-| Recall that the symmetry of the
c) The electic field can then be determined from
problem means the electric field is constant when integrating around the loop.
✔V/m
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