Recent content by shannon

Homework Statement Show that (ez)*=ez* note: * is the conjugate Homework Equations The Attempt at a Solution So I wasn't sure what form to put this in...either in exponential reiѲ or cos Ѳ + isin Ѳ...Either way, I think I'm just making it too easy... Please help!

Ok, so I recalculated my final value for the imaginary part and got... 0=r1r2(sin Ѳ1cos Ѳ2-cos Ѳ1sin Ѳ2) So then I got: sin Ѳ1cos Ѳ2=cos Ѳ1sin Ѳ2 So from here, do I just try to show that Ѳ1=Ѳ2 to show that the vectors are parallel? If so, how would I go about doing that?

Homework Statement Show that the vector z1 is parallel to z2 if and only if Im(z1z2*)=0 note: z2* is the complement of z2 Homework Equations The Attempt at a Solution I would probably convert z to polar form. so, z1=r1(cos Ѳ1+isin Ѳ1) z2=r2(cos Ѳ2+isin Ѳ2) so...

Yes, that is my question. Sorry for the lack of clarity. So I rewrote z in polar form, but I wasn't sure about what the conjugate of that would be...would the exponent just be negated? (the iѲ term). If that was the case, would I simply combine the exponents in the left side of the equation...

Homework Statement Prove that (z̄ )^k =(z̄ ^k) for every integer k (provided z≠0 when k is negative) Homework Equations The Attempt at a Solution I let z=a+bi so, z̄ =a-bi Then I plugged that into one side of the equation to get (a-bi)^k I was going to try to manipulate this...

Homework Statement A WxH rectangular loop of wire, with resistance R, lies on a table a distance s from a separate long straight wire carrying a current I. If the loop is pulled to the right, parallel to the wire, with the speed v, then what is the magnitude of the current induced on the...

Homework Statement Consider a finite wire which lies on the z-axis and extends from the point z=-Λ to the point z=+Λ. The vector potential in the xy plane a distance s from the wire is: Λ->∞ A=(µₒI/2π) ln (2Λ/s) k̂ An equally good vector potential is given by A'=A+∆λ, where λ is any...

Homework Statement Determine the limit of: lim ((3sqrt{n})^(1/2n)) Homework Equations The Attempt at a Solution I don't even know where to begin...perhaps squaring the entire term so I get.. 9n^(1/[4n^2]) which is equivalent to n^[1/(n^2)] But I don't know what the limit...

Homework Statement There is a washer (inner radius is a and outer radius is b) on the x-y axis with a constant surface charge density σ . What is the force felt on charge q on z-axis distance D from center of washer. Homework Equations The Attempt at a Solution I don't even know...

Homework Statement potential V(x)=-αδ(x+a)-αδ(x-a) write down the general normalizable solution to the time independent Schrodinger equation in the case E<0, without yet imposing any boundary conditions. Homework Equations The Attempt at a Solution I divided this problem into...