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19 April, 11:19

v (t) = 12 sin (913t + 71°) volts. Find (a) angular frequency in radians per second, (b) frequency in Hz, (c) period, (d) maximum voltage, (e) minimum voltage, (f) Peak-to-Peak voltage, (g) rms voltage, (h) average voltage, (i) voltage expressed as a phasor, (j) the average power consumed by a 220 ohm resistor having this voltage, and (k) the voltage at t = 3ms

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  1. 19 April, 12:23
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    v (t) = 12 sin (913t + 71°) volts

    a) 913° = (π / 180) x 913 radians

    = 15.92 radians

    a) angular frequency ω = 15.92 radians / s

    b) ω = 2πn

    n = ω / 2π

    = 15.92 / 2 x 3.14

    = 2.53 Hz

    c) Period = 1 / n

    = 1 / 2.53 =.4 s.

    d)

    Maximum voltage = 12 volt

    e) Minimum volts = - 12 volts

    g) rms volts = V / √2

    = 12 / √2

    = 8.48 V

    h)

    Average voltage = 0

    j) Average power

    Vrms² / R

    = 12 x 12 / 2 x 220

    =.327 W.

    k)

    v (t) = 12 sin (913t + 71°)

    v (t) = 12 sin (913x. 003 + 71°)

    = 12 sin (73.7°)

    = 11.5 V.
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