Recent content by datran

I heard this question from my TA and was not satisfied with the answer. Can someone elaborate for me please? There are two infinite lines of current that are traveling in the same direction. By the right hand rule and ampere's law, we can calculate the magnetic field and calculate the F of...

Ok thank you! This was more of a conceptual question than anything. So if the two current densities are in opposite direction but equal to each other in magnitude, this will cancel out the magnetic field entirely? I'm lost in the understanding because if we take an amperian loop outside of the...

I don't understand what you cannot follow. If I'm doing something wrong, I would love to be pointed in the right direction. I calculated the line integral on the left side of Ampere's Law by calculating the rectangle where two sides cancel and the remaining sides are on the z axis. Since...

I am trying to find the magnetic field in and outside of the slab.

z_hat points up. x_hat right. y_hat into the board. slab goes from -infinity< x and y < infinity -b< z < b. I draw a ampere rectangular prism starting at the origin going to infinity in x and y direction. I go z1 up and -z1 down where -b < z1 < b. I do the loop in one face since current...

I am given Jo, the current density. Inet = Current enclosed by amperian loop Itotal = Total current in slab. the slab is infinite in x and y direction but stops at -b< z <b in z direction. A is area of slab on XY plane Itotal = integral of J DOT dS I use ampere's law and create a...

I don't understand. I've already canceled two due to being perpendicular. Are you saying all 4 sides will be perpendicular? I've already solved the left side of the Ampere's law. Are you saying the line integrals are wrong?

Homework Statement Find the magnetic field from an infinite slab with constant current density, Jo, in the x direction. ρ(z) = ρ1 x_hat for -b<z<b ρ(z) = 0 for |z| >= b Homework Equations Ampere's Law. The Attempt at a Solution I draw a rectangular prism inside the slab with...

Homework Statement I have a coaxial cable with current density Jo in the center, with radius a, going in -z_hat direction. This generates a magnetic field. The outside of the cable, radius c, also carries a current density Jout going in the +z_hat direction. This generates its own magnetic...

Thanks for replying! Since it is ρ1 when x> 0 and -ρ1 when x < 0 the E-field is pointing to the left. In my standard coordinate system, that means the E-field should be negative. When 0 < x < Xo, is it correct to state that (x hat partial d/dx)(-x hat E) ? is equal to ρ1 / epsilon? I am...

Homework Statement rho(x) = 0 for x >= Xo and x <= -Xo rho(x) = ρ1 for 0< x < Xo rho(x) = -ρ1 for -Xo < x < 0. The last two rho's are constants. Electric field = 0 for x> Xo and x < -Xo. Find E for -Xo< x < Xo Homework Equations I used the ∇. E = ρ / epsilon The Attempt at a Solution...

Oh! So I would do (f+g) = (f+g)' + 2(f+g) = 0 and same thing over and over for the 10 axioms. So really f and g are like variables? Thank you so much! That actually made many more problems clearer!

Question: Show the set of all differentiable functions on (-infinity, +infinity) that satisfy f′ + 2f = 0 is a vector space. I started the problem by assuming that f and g are both differentiable functions that satisfy this vector space. Then I ran through the ten axioms of addition and...