Recent content by Goomba

1. Suppose L is the line y=a. Show that the locus of points {1/z: z E(epsilon) L} is the circle of radius 1/(2a) with center at -i/(2a). 2. T(z)=(az+b)/(cz+d), ad != bc. T(z) is a linear fractional transformation. Linear fractional transformations take circles to circles, where the...

Thanks. I found out my problem. I'm so used to converting micro 10^-6 that when I came across "nano," I used micro's conversion value. :rolleyes:

Kay, nevermind... :rolleyes:

I found equations for each of the x and y components: V_x = (-F_y)/(q*B) V_x = -(-7.6E-7)/(-5E-6*-1.20) V_x = -0.127 m/s V_y = (-F_x)/(q*B) V_y = -(-3.6E-7)/(-5E-6*-1.2) V_y = 0.06 m/s But those answers aren't right... What am I doing wrong? Are the equations not right? Am I using...

I believe that I just need to worry about the component of V that is perpendicular to B (x and y components of V) since force exists in the x and y directions only.

A particle with charge -5 nC is moving in a uniform magnetic field B = -(1.2 T)k. The magnetic force on the particle is measured to be F = -(3.6*10^(-7) N)i + (7.6*10^-7)j. Calculate the x and y components of the particle's velocity. F = q(V X B) (force equals charge multiplied by the cross...

Thanks I figured it out. :biggrin: The node-voltage method is a beautiful thing.

Two capacitors in series are charged by a 12.0-V battery that has an internal resistance of 1.00 ohm. There is a 5.00-ohm resistor in series between the capacitor, as shown in this figure: What is the time constant of the charging circuit? I know time constant, tau, equals R*C, but I...

I am given the following circuit: How do I find the current through the battery? I have trouble seeing which resistors are in series and which resistors are in parallel. I think I need to figure that out and then calculate R_eq accordingly. Then set I=V/R and solve for I. But which...

Consider the fixed point iteration formula: *x_(n+1) = (2/3)[(x_n)^3 - 1] - 3(x_n)^2 + 4x_n = g(x) *Note: "_" precedes a subscript and "^" precedes a superscript (a) Find an interval in which every starting point x_0 will definitely converge to alpha = 1. (b) Show that the order of the...