Can I find specific values for p and q? Or does any value of p and q that satisfies the equations q-p=1 qualify as a solution? p and q have no restrictions in this case, they've asked us to ignore the "lies between 0 and 1" condition.
So how many solutions does the system have? If p and q lie between 0 and 1 it has one solution, does it? Which I can find by solving them simultaneously. And, they'll have no solution if the ratio of the coefficients of the variables is equal. Is that it?
So the system has infinite solutions, right? Since x+y=1 is the only equation we are left with, once we add the first two?
But what about the second part? When will the system have no solution?
Homework Statement (q-1)x+py=0
(1-q)x-py=0
x+y=1
In this linear equation system:
a. if p and q lie between 0 and 1 how many solutions does this system have and why?
b. Ignoring the above condition, find the values of p and q so that the system has NO solution.Homework Equations
Umm..
The...
1. Homework Statement
In figure. (i1 and i2 are in the same direction. And the formula for field due to straight long wire is to be used.)
2. Homework Equations
General magnetic field due to a straight long current at point P=μ0i/2πr(r=perpendicular distance between the conductor and...
Homework Statement
We are to find I1, I2 and I3 in the diagram.
Homework Equations
These are the three equations I got. I need to know if they're correct.
x=I1
y=I2
z=I3
12y-24+35x=0
35x+34z-18=0
x=y+z
The Attempt at a Solution
Values I got on solving:
I1=0.508
I2=0.511...
Homework Statement
Finding the equivalent capacitance of the supplied circuit.
Homework Equations
For parallel capacitors, C EQ.=C1+C2+C3+..
For serial capacitors, 1/C EQ.=1/C1+1/C2+...
The Attempt at a Solution
The circuit simplification is difficult!
Thanks! I did try looking them up before I posted, though :). Could you at least tell me if the guesses I made are correct, or on the right track? I'd much appreciate it. :) Also, the last question is freaking me out!
Here are a couple of questions I'm having trouble with.
1) Can a magnet have 3 poles?
[Note: I've been told that a magnet might develop two north poles at the centre and two south poles at either end if it is faultily magnetised, but I'd much appreciate some explanation=)]
2) If the...