Recent content by 8614smith

  1. 8

    Integrating a Quarter Circle with a Double Integral

    i'm sure its really obvious, but i can't see the relation between (x-y) and r or theta, i don't see how an r can be substituted in if r^2=x^2+y^2 i can't make it fit. Are you also suggesting that i substitute the a for something else?
  2. 8

    Integrating a Quarter Circle with a Double Integral

    that top integral bottom limit should be zero, and the equation is (x-y). I must have messed up the latex code
  3. 8

    Integrating a Quarter Circle with a Double Integral

    Homework Statement I=\int^{a}_{0}dx\int^{\sqrt{a^{2}-x^{2}}_{0}(x-y)dy Homework Equations r^{2}=x^{2}+y^{2} The Attempt at a Solution Im thinking that the question is asking to integrate the first quarter of the circle of radius a between 0 and pi/2. In that case I've changed...
  4. 8

    Ray matrix - refraction at a curved surface

    Homework Statement The diagram shows a curved convex surface with radius of curvature R separating two media with differing refractive indices of n_{1} and n_{2} Show that the matrix representing refraction at this surface is...
  5. 8

    Current using kirchhoff's loop rule

    Homework Statement By applying kirchhoffs rules, show that the in the RL circuit is given by: I=\frac{\epsilon}{R}\left(1-e^{-\frac{Rt}{L}}\right) Homework Equations kirchhoff's second rule: \epsilon-IR-L\frac{dI}{dt}=0 The Attempt at a Solution \epsilon=IR+L\frac{dI}{dt}...
  6. 8

    What Happens to Average Power in an RLC Circuit at Resonance?

    this picture is probably a bit easier to see...
  7. 8

    What Happens to Average Power in an RLC Circuit at Resonance?

    Homework Statement 4.) Determine the average power in an RLC circuit. Derive an expression for the resonance frequency in terms of L and C. Is the average power a maximum or a minimum at the resonance frequency? Homework Equations The Attempt at a Solution I have circled in red...
  8. 8

    Dot Product of G and A: Where Do the Denominators Go?

    sorry that first bit should say: G = 2{\pi}h{\frac{{a_2}x{a_3}}{{a_1}{\bullet}{a_2}x{a_3}}
  9. 8

    Dot Product of G and A: Where Do the Denominators Go?

    Homework Statement what is the dot product of G{\bullet}A where A = \left(\frac{a_3}{l}-\frac{{a_1}}{h}\right) and G = 2{\pi}h{\frac{{a_2}}x{{a_3}}}{{a_1}{\bullet}{{a_2}}x{{a_3}}} Homework Equations The Attempt at a Solution The answer is zero and I've got the worked solution...
  10. 8

    A poisson distribution question

    ok great thanks makes sense now, but how do i draw the poisson distribution? can it be 0.549 probability at zero? for it to be continuous it would have to have a negative distribution - is that possible? I am assuming probability on the y-axis and number of eggs on the x-axis by the way
  11. 8

    A poisson distribution question

    so how do i find the probability of finding 0 eggs because if i put zero in the top line it will be 0, and that 0.329 is the probability of finding one egg then.
  12. 8

    A poisson distribution question

    Homework Statement On average, each of the 18 hens in my henhouse lays 1 egg every 30 days. If I check the hens once per day and remove any eggs that have been laid, what is the average number, μ, of eggs that I find on my daily visits? What is the most probable (whole) number of eggs that I...
  13. 8

    How Much Work Can Be Extracted from Copper Blocks Using a Carnot Process?

    Homework Statement Four identical blocks of copper, of mass 20Kg each, are 'perfectly' isolated from the environment. One is kept at a temperature of 573K and the other three at 288K. The heat capacity of copper is 375 J/K/Kg. Assume a carnot process is being used to exploit the temperature...
  14. 8

    Understanding Heat Flow and Entropy in the Second Law of Thermodynamics

    Homework Statement Two bodies of temperature T and T+\DeltaT respectively (where \DeltaT>0) are brought into direct thermal contact. Use a mathematical formulation of the second law to show: (i)Which way heat flows; is this heat flow reversible? Homework Equations 2nd law of...
  15. 8

    Solving 1-D Potential TISE Homework: Get Solutions & Calculate Energies

    Homework Statement A particle of mass m and energy E<V0 is trapped in the 1-D potential well defined by, V=\infty, x<0; V=0, 0\leqx\leqL; V=V0, x>L. (b) Obtain solutions to the time independent schrodinger equation for the three regions and by appropriate matching at the boundaries, show...
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