Homework Statement
A coin is flipped repeatedly with probability p of landing on heads each flip.
Calculate the average <n> and the variance \sigma^2 = <n^2> - <n>^2 of the attempt n at which heads appears for the first time.
Homework Equations
\sigma^2 = <n^2> - <n>^2
The...
Homework Statement
An ionized plasma flows with a velocity v in the z direction, though a rectangular pipe with x, y, z dimensions of w, h, l respectively. The walls at x=\pm w/2 are insulating while the walls at y=\pm h/2 are conducting. Lastly there is a magnetic field B in the x...
Homework Statement
I need to be able to determine the equivalent parallel resistance of an RLC parallel circuit, from a measured voltage when the circuit is at resonance.
Homework Equations
The Attempt at a Solution
I know the values of the circuit element, but I'm not sure how...
Homework Statement
Two balls, one soaked in concentrated HCl and the other in NH4OH are placed at the left and right ends of a 1m long evacuated glass tube, respectively. HCl and ammonia vaporize and travel down the tube, reacting to form a white ring where they meet. Where does the ring form...
Homework Statement
\frac{dy}{dx}=\frac{2y - x + 7}{4x - 3y -18}
Homework Equations
The Attempt at a Solution
I tried using v = y/x and got nothing. Same goes for trying to find an integrating factor to make the equation exact. I am given a hint, Find h and k so that the...
Sorry i type that from my phone. The lim x(t) as t approaches infinity is 0, it will always go to 0 eventually but how do I know if it crosses the origin or not and how can I find the initial speed using what you told me? Edit: also how can I solve the coefficients?
Homework Statement
An overdamped oscillator with natural frequency w and damping coefficient g starts out at postion x0 > 0. What is the maximum initial speed towards the origin it can have without crossing the origin?
Homework Equations
x(t) for overdamped oscillator
The Attempt at...