Recent content by ThirdEyeBlind

Homework Statement I'm supposed to prove det A = \frac{1}{6} \epsilon_{ijk} \epsilon_{pqr} A_{ip} A_{jq} A_{kr} using the triple scalar product. Homework Equations \frac{1}{6} \epsilon_{ijk} \epsilon_{pqr} A_{ip} A_{jq} A_{ kr} (\vec u \times \vec v) \cdot \vec w = u_i v_j w_k...

Homework Statement Line Notation Fe | Fe^(2+) (0.587) || Cd^(2+) (1.009) | Cd T = 297 K E(cell standard) = .04 V Find the potential when [Fe^(2+) changes by .393 M Work Cd^(2+) + Fe --> Cd + Fe^(2+) Q = [Fe^(2+)] / [Cd^2+] Q= [.587 + .393] / [1.009-.393] The Attempt at a...

Thank you for the quick response and explanation. I now understand.

Homework Statement A battery with voltage V=12V is connected to the primary of a transformer. A resistor with resistance R =20 Ohms is connected to the transformer secondary. The transformer has an iron core with Np=200 turns on the primary and Ns=600 turns on the secondary. Assume the...

Alright so now I am getting the correct answer thanks to your hint but I am now stuck on another part. What is σb, the surface charge density at the outer edge of the shell? I was just thinking it would have been (1.1E-6 C) / (.049 m2 - .026 m2 * pi) which is the charge of the conducting...

Homework Statement A point charge q1 = -7 μC is located at the center of a thick conducting shell of inner radius a = 2.6 cm and outer radius b = 4.9 cm, The conducting shell has a net charge of q2 = 1.1 μC. What is Ex(P), the value of the x-component of the electric field at point P...

Homework Statement Sketch a graph of the polar curve whose points satisfy the following: As theta increases from 0 to pi/2, r decreases from 4 to 2. As theta increases from pi/2 to pi, r decreases from 2 to 0. As theta increases from pi to 3pi/2, r decreases from 0 to -1. As theta increases...

I couldn't get Latex to correctly show what I have so I did it in paint. Is this correct? If it is, how do I evaluate this? Any help would be appreciated. EDIT: I think I figured it out. tan^-1 (x^2) = x^(2) - x^(6)/3 + x^(10)/5 -... and if you integrate the first term from 0 to 1/10, you...

Homework Statement Use series to show that the integral from 0 to 1/10 of arctan (x^2)dx is approx. 1/3000. What bound can you place on the error in this approximation? Homework Equations The Attempt at a Solution Manipulated Maclaurin series to get the sum from n=0 to infinity...