Wow! Thank you so much Delphi51, I Like Serena, and ehild! This makes so much sense now, the problem is a lot easier than I thought it would be... (Sorry I wasn't on for so long after I posted the question.) But thank you so much for all the help! That helps so much! :) You guys rock!
Homework Statement
Two parallel sheets of conducting metal are very close to each other (A>>d), they have charges of Q1 and Q2 on them. What is the force between these two plates?
Homework Equations
Gauss' Law
The Attempt at a Solution
From what I understand, you can use Gauss'...
Homework Statement
Two square parallel sheets with area>>distance between them have total charges of Q1 and Q2 on them. What is the force between them?
Homework Equations
Q1in+Q2in=0
Q1in+Q1out=Q1
Q2in+Q2out=Q2
Q1out=Q2out
The Attempt at a Solution
I set up 4 equations for the...
Oh! I get it, so
and using the product rule - I get it to equal L^2*B_0[a*exp(-a*t)*cos(w*t)-(a-exp(-a*t)*w*sin(w*t)], right? So in this case, w (omega) is the angular velocity of the system?
Ohhh okay I understand what I was doing wrong, and another thing I'm doing wrong I think, is that the Area isn't actually changing, is it? So dA/dt=0, isn't it the angle that is changing? d(theta)/dt? So (with product rule this time)...
Okay, so doing that I got flux=B*A*cos(theta)=B*A*cos((omega)t), and EMF is -d/dt(flux) so I get EMF=(dB/dt)*A*(omega)*sin((omega)t), then differentiating B gives EMF=a*omega*B_0*l^2*sin((omega)t)*exp(-a*t). But that wouldn't make sense, would it? Because I just used l^2 as A, which should be...
Oh! oops I totally forgot, the magnetic field is in the z-hat direction, and the loop rotates around the x-axis, so when theta=pi/2, the loop is parallel to the field, making its area vector perpendicular, and vice versa for pi