Recent content by dancavallaro

Homework Statement Let H be the subgroup of GL(3, \mathbb{Z}_3) consisting of all matrices of the form \left[ \begin{array}{ccc} 1 & 0 & 0 \\ a & 1 & 0 \\ b & c & 1 \end{array} \right], where a,b,c \in \mathbb{Z}_3. I have to prove that Z(H) is isomorphic to \mathbb{Z}_3 and that H/Z(H) is...

That's right - we're using a very simple model right now, where beta is ignored and we assume that no current flows from base to emitter. What you say makes sense though - so if there's 1 volt on the 1k emitter resistor, then I_E = I_C = 1/1000 = 1 mA, regardless of the value of R_load.

I'm not sure I follow.. why is R_load constrained to be greater than 9kΩ?

Here's the picture of the circuit until my attachment is approved: http://img410.imageshack.us/img410/9141/picture1va9.th.png

Homework Statement Here's a crude description of the problem until my attachment is approved: it's essentially a voltage divided connected to a common-emitter amplifier (I think). There's a +10 V line connected via an 8.4 kOhm resistor to the base of the NPN transistor, and a 1.6 kOhm resistor...

It's the *inverse* of the sum of the inverses. So your equivalent resistance is not 2.5 Ω but 1/2.5 = 0.4 Ω.

I found the diode equation, but I think it's overkill for my needs. Mapes, and the link berekman posted, helped a lot for my purposes. The only thing I don't get now though, is what happens when the diode is hooked up with no resistor. Is the current 0, or is it infinite? I'm inclined to say...

Ah, thanks for that link! What happens if there's no resistor in the circuit and it's just a diode hooked up to a voltage source?

How do I do basic circuit analysis of circuits that have diodes in them? For example, if I have a basic circuit consisting of just a voltage source, a resistor, and a silicon diode, how would I calculate the current in the circuit?

Homework Statement If G is an Abelian group and contains cyclic subgroups of orders 4 and 6, what other sizes of cyclic subgroups must G contain? Homework Equations A cyclic group of order n has cyclic subgroups with orders corresponding to all of n's divisors. The Attempt at a...

Homework Statement See attached image for a circuit diagram. The assumptions are that transients have died out and the currents and charges have reached their equilibrium values. I have to calculate the charge on the capacitor.Homework Equations Q_C = C \Delta V V_C(t) = Q(t)/C =...

I don't quite follow what x1,x2, etc represent, but if you have a vector representing the original position and a vector representing the tilted position, you can find the angle between those vectors with \theta = \cos^{-1}{\left(\frac{a \cdot b}{|a||b|}\right)}

I'd have to recommend Autocad 2004: A Problem Solving Approach by Sham Tickoo. I used that book in my Engineering Drawing class last year and it explains everything from the basics to advanced 3D drawing.