Recent content by xlu2

One advice I received on choosing a major is pick what you are good at and what you like while keep in mind what future career you might have. Even though I was just accepted into the EE department after my freshman year, I am still unsure if I really want to do EE. Would someone please give...

Thanks. I know how to prove the empty set one now. An empty set's successor is {∅} and that one's successor is {∅,{∅}}, so on. I looked that one up on WolframAlpha.

Homework Statement Use principle of Mathematical Induction, Prove N (set of natural numbers) is inductive. Prove ∅ is inductive Homework Equations Principle of Mathematical Induction The Attempt at a Solution For N Let S be a subset of N 1) 1 is element of S. 2) Suppose S is...

So (Voc-V1)/2+Voc/9+(Voc-V2)/3+Voc/4=2? But how would I find V1 and V2 if I label V1 to be the node joining the 3 resistors and V2 joining 3 and 4? For Thevenin equivalent, Voc=2*4=8V and R=4 ohms?

Homework Statement Find inverse of each. 1. y<x+1 2. y=2x/(x-2) Homework Equations Switch y and x? The Attempt at a Solution For 1. I switched y and x, so x<y+1. Do I have to switch the sign also? For 2. I switched y and x, so x=2y/(y-2). But I have to express the inverse...

KCL for where the three resistor meet: Voc/2=Voc/9+Voc/3? KCL for 4 ohms node: 2+Voc/3=Voc/4? Is the current through 9 ohms 2*9/(1/(1/(4+3)+1/9))? (4 and 3 are in series which are then in parallel with 9) How do you convert 2A and 4 ohms resitor into their Thevenin equivalent?

I did not realize I found Iin. Would you please tell me which number was it?

Homework Statement Find Vt and In Homework Equations KCL The Attempt at a Solution I found Rt to be 5.94 ohms (1/(1/7+1/9)+2) Then I am stuck. I know to find Vt (which is equal to Vopen circuit), I have to do a KCL in an open circuit, so my KCL equation is 2+Voc/3=Voc/4 So...

Homework Statement Find i1 Homework Equations KCL V=IRThe Attempt at a Solution See picture. What am I doing wrong? Also, the current through 7 ohms = 2+i1. So for V1 (left loop), can it be written as V1=-5-0.5i1+7(2+i1)? Then V1=-5-0.5i1+14+7i1=9+6.5i1 For V1 (right loop), can it be...

Got it. Thanks!

Since the current through 20K is 2i, and V1=V3 and V2=V4, the current through 20K can be expressed as (V4-V3)/20K=(V2-V1)/20K=2i Substitute that back to my node V1: 8i-i=0.004. So i=0.000571429A?

How can I write KVL without any resistors in some loops? For the leftmost loop: (v2-v1)/5000=0 For the rightmost loop: (v4-v3)/20000=0

Homework Statement Homework Equations KCL The Attempt at a Solution See picture. I got ix=i1. And I am stuck. Would someone please help me? Many thanks in advance.

2 ohms: P=i1^2*R=26.49^2*2=1403.44 3 ohms: P=3(i1-i2)^2=3(26.49-44.15)^2=935.6268 5 ohms: P=5(i2-i3)^2=5(44.15-12.34)^2=5059.3805 3 ohms: P=3i3^2=3(12.34)^2=456.8268 122 V: P=IV=122*12.34=1505.48 212 V: P=IV=-212*44.15=-9359.8 I got 0.9541. Unbelievable. I guess all the numbers are...

I get a negative number.