Recent content by GmL

I didn't quite mean the distance between two parallel vectors. I meant to say that the vectors denote a position in the real-complex plane (in three dimensions and given in terms of Eisenstein Integers). I know how to derive the distance between two vectors, but that does not help in this case.

*Bump* Anyone?

Hi, all. I am interested in finding the distance between two vectors in a 3-dimensional complex Eisenstein lattice. Is it simply an extension of finding the Euclidean distance between two real vectors? i.e. D=sqrt((x2-x1)^2+(y2-y1)^2+...+(n2-n1)^2)? Thanks.

Yes, that's correct. You're looking for the potential difference between the two shells which happens to be +1050 V, so PE = qV is the correct formula to use.

The triangle is called "delta", which is defined as "the change in...". The arrow on top signifies that the quantity is a vector; for example, the v with the arrow shows that it is a velocity, which inherently contains the direction (as opposed to speed, which is only a magnitude without a...

Your equation RL = ((1/R1) + (1/R2))^-1 only equates the total (internal) resistance of the batteries. The load resistance is a separate load (resistor) in the circuit which is in series with the two batteries. R(total)=(total internal resistance)+(load resistance RL).

Well if you have the area of the ring, then you can use the equation emf = - d/dt (mag flux) where mag flux is B (magnetic field) * A (area) * cosine of the angle between them. If area is constant and the angle between the area vector and magnetic field is zero, we are left with the...

You're not adding the B-components, you're taking the cross product. Recall the 3x3 matrix with i, j, and k in r1. You have to find the determinant of that matrix to solve for F, which is given to you.

Are you certain that all the information is given? Because the way I see it, you have three variables (v, v1, v2) and only two equations (conservation of momentum and conservation of KE).

Is that a general question or is it addressed to me or is it addressed to pharaoh?

Yes, you're correct. The electrons move from the two objects, making one positive and one negative.

For electrostatic force, use the equation: F=[1/(4*pi*e0)]*[abs(Q1)*abs(Q2)]r^2 where e0 is the permittivity of free space. and r is the distance between the charges. Just find the distance between the balloons (which can be solved with some elementary trig) and you have your answer.

Yeah, Doc Al is correct. You know that emf= - (d/dt) (magnetic flux) and since n=213, B=50x10^-6, and theta=62 degrees (remember, you're finding the angle between the area vector A, which is perpendicular to the loop, and B), we can solve. the n, cos(theta), and B all come out of the...