# Magnetic Flux

Discussion in 'Electronic Basics' started by meyousikmann, Oct 22, 2006.

1. ### meyousikmannGuest

Ok, I have this arrangement:

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?

2. ### Michael A. TerrellGuest

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.

Michael A. Terrell
Central Florida

3. ### Bob EldGuest

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.

4. ### Tim WilliamsGuest

Weird, in my Euclidean space I always measure it as exactly 1.

Tim

5. ### Bob EldGuest

Are you having a problem with the stated equation: I(t) = 2.3cos(41*10^6t)?
Please tell us why the peak is not 2.3.

6. ### meyousikmannGuest

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.  