find the rms value of the function
i=15(1-e^-1/2t) from t=0 to t=4

asked by Alan
  1. If we let r = rms of f(t), then

    4r^2 = Int(15 - 15e^-1/2t)[0,4]
    = 15t + 30e^(-t/2)[0,4]
    = [60 + 30/e^2] - [0 + 30]
    = 60 + 30/e^2 - 30
    = 30 + 30/e^2

    so, r = 2.92

    see wikipedia on root mean square

    posted by Steve

Respond to this Question

First Name

Your Response

Similar Questions

  1. Electrics Dewberry

    Find the rms current in a 2.0uF capacitor connected across 120V rms, 65Hz AC power. Thanks!
  2. Science

    The rms(root-mean-square) value of a periodic signal s(t) is defined to be rms [s]=(1/T Ss^2t dt)^1/2 where T is defined to be the signal's period: the smallest positive number such that s(t)=s(t+T). What is the rms value of the
  3. Physics

    An ac generator supplies an rms voltage of 5.00 {\rm V} to an RL circuit. At a frequency of 21.0{\rm kHz} the rms current in the circuit is 45.0 {\rm mA}; at a frequency of 26.0{\rm kHz} the rms current is 40.0 {\rm mA}. Find
  4. mathematics

    find the mean and RMS of v=25sin50πt over the range t=0 to t=20ms using integration. i have integrated to: v=-cos(50πt)/2π+c but i don't know how to get the mean and rms.
  5. winterWx

    Compute the rms speed of a nitrogen molecule at 31.0°C. At what temperature will the rms speed be half that value? At what temperature will the rms speed be twice that value? T = 31 C = 304 K Mass M = 28 g/(6.02*10^23) =
  6. Phys

    A 120-V rms voltage at 2000 Hz is applied to a 6.0-mH inductor, a 2.0-ìF capacitor and a 200-Ù resistor. What is the rms value of the current in this circuit?
  7. Physics

    A transformer is to be used to provide power for a computer disk drive that needs 5.8 V (rms) instead of the 120 V (rms) from the wall outlet. The number of turns in the primary is 414, and it delivers 500 mA (the secondary
  8. Circuits 2

    V1 has rms voltage of Vrms=10V. The turn ratio of the primary to secondary side of the transformer is 1:10. If R1 has a value of 20Ω, what is the value of the rms current on the secondary side? what is the value of the rms
  9. Physics

    An inductor is in the built in the shape of a solenoid of radius 0.20 cm, length 4.0 cm, with 1000 turns. This inductor is connected to a generator supplying an rms voltage of 1.2×〖10〗^(-4) V AC at an angular
  10. Calculus (Please Check my answers)

    Find the average value of the function i=15(1-e to the power of -1/2 t) from t=0 and t=4? A.7.5(1+e^-2)<< my answer B.7.5(2+e^-2) C.7.5(2-e^-2) D.7.5(3-e^-2) Find the rms value of the function i=15(1-e to the power of -1/2

More Similar Questions