I --> ------------------------ long straight wire d --------------- | | L | | | | rectangular wire loop | | --------------- W
d = the distance between straight wire and wire loop L = length of wire loop W = width of wire loop
A sinusoidal current flows through the straight wire where the current is I(t) = 2.3 cos (41*10^6 t). What I am looking for is the maximum magnetic flux passing through the loop. I understand with a DC current, the equation ends up being:
mu(naught)IW / 2pi * ln ((d + L) / d)
This would be fine if it was a DC current because it is just a matter of plugging in numbers, however, since the current is sinusoidal, I ends up being a function of t and I am not given a t. Can anyone give me some pointers on how to figure the magnetic flux through the wire loop given a sinusoidal current?
> I --> > ------------------------ long straight wire > d > --------------- > | | > L | | > | | rectangular wire loop > | | > --------------- > W
> d = the distance between straight wire and wire loop > L = length of wire loop > W = width of wire loop
> A sinusoidal current flows through the straight wire where the current is > I(t) = 2.3 cos (41*10^6 t). What I am looking for is the maximum magnetic > flux passing through the loop. I understand with a DC current, the equation > ends up being:
> mu(naught)IW / 2pi * ln ((d + L) / d)
> This would be fine if it was a DC current because it is just a matter of > plugging in numbers, however, since the current is sinusoidal, I ends up > being a function of t and I am not given a t. Can anyone give me some > pointers on how to figure the magnetic flux through the wire loop given a > sinusoidal current?
Redraw the image in a fixed width font, like Courier. What you posted is broken up from being created in an unknown variable width font.
-- Service to my country? Been there, Done that, and I've got my DD214 to prove it. Member of DAV #85.
> I --> > ------------------------ long straight wire > d > --------------- > | | > L | | > | | rectangular wire loop > | | > --------------- > W
> d = the distance between straight wire and wire loop > L = length of wire loop > W = width of wire loop
> A sinusoidal current flows through the straight wire where the current is > I(t) = 2.3 cos (41*10^6 t). What I am looking for is the maximum magnetic > flux passing through the loop. I understand with a DC current, the equation > ends up being:
> mu(naught)IW / 2pi * ln ((d + L) / d)
> This would be fine if it was a DC current because it is just a matter of > plugging in numbers, however, since the current is sinusoidal, I ends up > being a function of t and I am not given a t. Can anyone give me some > pointers on how to figure the magnetic flux through the wire loop given a > sinusoidal current?
The peak of the cosine wave is 2.3, it doesn't matter what "t" is. Remember, the cosine goes from plus one to minus one. Your only looking for the maximum or peak. The question does not ask anything about frequency or time. So don't answer what it doesn't ask.
>> I --> >> ------------------------ long straight wire >> d >> --------------- >> | | >> L | | >> | | rectangular wire loop >> | | >> --------------- >> W
>> d = the distance between straight wire and wire loop >> L = length of wire loop >> W = width of wire loop
>> A sinusoidal current flows through the straight wire where the current is >> I(t) = 2.3 cos (41*10^6 t). What I am looking for is the maximum >> magnetic >> flux passing through the loop. I understand with a DC current, the > equation >> ends up being:
>> mu(naught)IW / 2pi * ln ((d + L) / d)
>> This would be fine if it was a DC current because it is just a matter of >> plugging in numbers, however, since the current is sinusoidal, I ends up >> being a function of t and I am not given a t. Can anyone give me some >> pointers on how to figure the magnetic flux through the wire loop given a >> sinusoidal current?
> The peak of the cosine wave is 2.3, it doesn't matter what "t" is. > Remember, > the cosine goes from plus one to minus one. Your only looking for the > maximum or peak. The question does not ask anything about frequency or > time. > So don't answer what it doesn't ask.
And therein lies the problem......I have a tendency to make things more difficult than they really are. Thanks for the pointer. It makes complete sense now.
|
