Recent content by theshonen8899

Homework Statement A rectangular coil of wire has 65.0 turns and is 30.0cm by 43.0cm . Initially the plane of the coil is perpendicular to a uniform external magnetic field. It is then rotated till its plane is at an angle of 35.0∘ with that field. The magntude of the external field is 1.90T...

Awesome, thanks so much!

Ahh, that would make a lot of sense then. I kept having trouble with cross product signs because I didn't know they already took them into account. So then would it be: x = aybz - azby = (0.0005m)(0.471m) - 0 = 0.0002355m y = azbx - axbz = 0 - 0 z = axby - aybx = 0 - (0.0005m)(-0.882m) = 0.000441m

Thanks so much for the response! Okay so let me clarify, dl should be 0.500 mm j_hat right? Since it's on the y-axis. |r| = √(0.73m^2)+(0.39m^2) = 0.828m r_hat = (-0.730m/0.828m)*i + (0.390/0.828m)*k = -0.882m*i + 0.471m*k dl x r_hat = (0.0005m*j) x (-0.882m*i + 0.471m*k) x = aybz -...

Homework Statement A thin wire carries current along an arbitrary path, but when it passes through the origin, it is in the +y direction. Denote the magnitude of the current is 9.10A and we consider a point in space whose location is r = (-0.730m)*i + (0.390)*k. Find the contribution to...

Not at all, you helped me get the correct answer and more importantly I get it now. Thanks so much!

I forgot to mention that I tried (μo/4∏)*[(I*dL*x1)/(( x1 )2 + (z1 )2)] which wasn't correct. From what I understand the Biot-Savart law is (μo/4∏)*[I*(dL x r hat)/(|r|^2)]. Am I not suppose to be finding the cross product dl x r hat? Sorry I'm having so much trouble understanding and...

So the cross product I want is \vec{dl} x \hat{r} and the homework tells me that \vec{dl} x \vec{r_{x}} = dlx_{1}\hat{k}. Shouldn't \vec{dl} x \vec{r_{x}} be negative since \hat{j} \times \hat{i} = -\hat{k}? So assuming \vec{dl} x \vec{r_{x}} = dlx_{1}\hat{k}, we know \hat{r} =...

Homework Statement Find Bz(0,0,z1), the z component of the magnetic field at the point P located at x=y=0,z=z1 from the current I flowing over a short distance dl = |dl|*j located at the point rc = x1*i. Homework Equations Biot-Savart law: (μo/4∏)*[I*(dL x r)/(|r|^2)]The Attempt at a...

This is for my Linear Algebra class: Homework Statement For an angle θ ∈ [0, 2π), find the linear map fθ : R2 → R2, which describes the rotation by the angle θ in the counterclockwise direction. Hint : For a given angle θ, find a, b, c, d ∈ R such that fθ(x1, x2) = (ax1+bx2, cx1+dx2)...