Also one last question. When expressions are functionally equivalent like the two above, can they always be reduced to being identical? I am assuming yes, because they are equal to begin with, correct?
No it's a worked example left for us to solve if we wanted extra practice. And that's what I thought initially. So it is using the distributive property and then the complement theory. Thank you.
Hi I am not sure where to post this question but I am trying to simplify this expression:
r*c'w+c (As in R AND NOT C AND W OR C) to c+wr (As in C OR W AND R) and I know that it simplifies to this and they are both equivalent; however my question is which boolean simplification property is...
Homework Statement
The electric field in a 1.2mm x 1.2mm square aluminum wire is 2.0×10^-2 V/m What is the current in the wire? I = ?A
Homework Equations
E = V/length
R = ρL / A
I = V/R = V*A/ ρ*L
The Attempt at a Solution
Electrical field strength E = V / length = 2 x 10^-2 V/m...
Alright I got 8.439 nC/m and that is still wrong, lol. Damn, I don't know where I'm going wrong. I'm plugging in everything:
I got:
m = 1.67*10^-27 kg
r = .012m
f = 1.6*10^6 Hz
k = 9*10^9 N*m^2/C^2
q = 1.6*10^-19 C
I submitted it through Mastering Physics and it said it was wrong, lol. I'm not sure if its the units because the answer is suppose to be in nC/m, but I am pretty sure it cancels out accordingly. Hmm..
Ah, okay, so I have it set up like this:
(2*1.6*10^-19*9*10^9*λ)/(.012)=(4π^2*1.67*10^-27*.012)/(1.30*10^6)^2
I got 1.95056*10^-33 nC/m but that seems to be wrong, anywhere I went wrong?
Homework Statement
A proton orbits a long charged wire, making 1.30*10^6 revolutions per second. The radius of the orbit is 1.20cm.
What is the wire's linear charge density?
Homework Equations
- q E = m w^2 r
- 9*10^9 [2 λ /r] q = m w^2 r
The Attempt at a Solution
λ = linear...