1. Homework Statement
determine the indefinite integral: ∫ (4x+10)/(9x^2+24x+16) dx
2. Homework Equations
partial fractions technique
3. The Attempt at a Solution
i know it's partial fractions and i thought i did it right but i got the wrong answer.
(4x+10)/(9x^2+24x+16) =...
1. Homework Statement
Two long parallel wires are a center-to-center distance of 4.60 cm apart and carry equal anti-parallel currents of 4.40 A. Find the magnetic field intensity at the point P which is equidistant from the wires. (R = 4.00 cm).
2. Homework Equations
magnetic field...
I think i may have thought that at one point. well my homework was already due so i didn't get it. but still, i have those 7 equations. I can substitute the 5 equations (1 for each I) into the 2 current equations and end up getting VP and VP' so what do I then do with it to find the Req? do i...
would the potential difference across R4 be -V_P?
if across R3 it is (8-V_P) and across R5 it is (V_P-V_P') then [(8-V_P)-(V_P-V_P')] is the 'initial' and the final is 8. so [(8-V_P)-(V_P-V_P')]-8 is just -V_P?
or is it I4=(V_P'-2*V_P)/R4
what youre saying makes no sense. well i got the first part, but the second part made absolutely no sense to me? i don't understand how to get the I4 equation i dont understand the potential difference across R4
ummm I_4=(V_P'-V_P+8)/R4? since the potential difference at the right corner just past R2 and R4 is V_P-8? no i dont think thats right .. why isn't it what I had? what's wrong with the 8?
ok well I1 is easy... i assume I3 is the same thing? I_3=(8-V_P')/R3 right?
so when you want to do R2 and R4 how do you do it .. is it like I_2=(V_P-8)/R2?
and then the same thing for R4 .. I_4=(V_P'-8)/R4 ?
if thats the case then I_5=(V_P-V_P')/R5 ?
and then the current laws:
for P...
nothing in my textbook about it .. professor briefly went over it today in class. theres like 4 formulas that he got.
I1R1=Va-Vb
I1R1=Vb-Vc
I2R2=Va-Vd
I2R=Vd-Vc
where c is the left corner of the 'diamond' , a is the right corner, b is P in our case, d is P' in our case .. R is our R3 and R3 in...