4.2 The power P (in Watts) consumed by an electric device running on alternating current (AC) is given by the equation P==VI cos 0, where V is the peak voltage (in Volts), I is the 2 peak current (in Amps), and is the radian phase difference between the sinusoid oscillation of V and the sinusoid oscillation of I. (a) Find the power needed to sustain an AC current of 12 Volts and 5 Amps with a phase difference of radians. (b) Approximate dP if V,I are constant and de=0.03 radians. (c) Approximate dP if V,0 are constant and dI=-0.08 Amps. (d) Approximate dv if 1,0 are constant and dP=0.02 Watts.
4.2 The power P (in Watts) consumed by an electric device running on alternating current (AC) is given by the equation P==VI cos 0, where V is the peak voltage (in Volts), I is the 2 peak current (in Amps), and is the radian phase difference between the sinusoid oscillation of V and the sinusoid oscillation of I. (a) Find the power needed to sustain an AC current of 12 Volts and 5 Amps with a phase difference of radians. (b) Approximate dP if V,I are constant and de=0.03 radians. (c) Approximate dP if V,0 are constant and dI=-0.08 Amps. (d) Approximate dv if 1,0 are constant and dP=0.02 Watts.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:4.2 The power P (in Watts) consumed by an electric device running on alternating current
(AC) is given by the equation P=VI cose, where V is the peak voltage (in Volts), I is the
2
peak current (in Amps), and 0 is the radian phase difference between the sinusoid
oscillation of V and the sinusoid oscillation of I.
(a) Find the power needed to sustain an AC current of 12 Volts and 5 Amps with a phase
difference of radians. (b) Approximate dP if V,I are constant and de=0.03 radians.
3
(c) Approximate dP if V,0 are constant and dI=-0.08 Amps.
(d) Approximate dV if 1,0 are constant and dP=0.02 Watts.
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