Correction: The given solution was y=3e^(2t)+5e(-2t).
I understand how he got this by using partial fractions, I would just like to know if the two functions are equivalent or if there was a mistake.
Homework Statement
Y=(8s-4)/(s²-4)
Homework EquationsThe Attempt at a Solution
I rearranged the right side as:
8*(s/(s²-2²))-2*(2/(s²-2²))
Using the Laplace transform chart given in the class I was able to identify these as the transforms of hyperbolic sine and hyperbolic cosine making the...
Homework Statement
Homework Equations
C=Δq/VThe Attempt at a Solution
So part a:
The capacitance of 3 should be the difference in charge of b and a divided by the voltage of the circuit?
C3=(14μC-6μC)/12V
=6.67*10-7 F
This was wrong...
Homework Statement
So this was a problem worked in class by the professor in class.
Find the net electric field at the origin due to the arcs
Homework Equations
L=2πr/4
λ=q/L
E=kQ/r2
The Attempt at a Solution
So the professor gave the answer using the fromula...
Homework Statement
Homework Equations
E=kq/r2
The Attempt at a Solution
So i decided to do decouple the x and y values to make it simpler
For Ex It became apparent through the geometry and charges that there would be no net field in the x direction
For Ey:
k/r2*...
I understand that the function cannot determine the quadrant of the angle and just assumes that it is in the first two quadrants. I also understand that this particular would be in the third quadrant.
I suppose that what I am having trouble with is if it is asking for θ being the blue, yellow...
Homework Statement
The electric potential at points in an xy plane is given by V = (1.5 V/m2)x2 -(2.9 V/m2)y2. What are (a) the magnitude of the electric field at the point (3.9 m, 2.9 m) and (b) the angle that the field there makes with the positive x direction.
Homework EquationsThe Attempt...