Question

9.3 Consider the sinusoidal voltage $v(t) = 25 \cos(400\pi t + 60^\circ)$ V. Please find: a) the amplitude of the voltage, the frequency $\omega$ in hertz, the phase angle $\phi$ in degrees, the period in milliseconds, and the rms value; b) the first time after $t = 0$ that $v = 0$. c) The sinusoidal function $v(t)$ is shifted $\frac{5}{6}$ ms to the right along the time axis. What is the expression for $v(t)$ then? d) What is the phasor representation of this voltage?

          9.3 Consider the sinusoidal voltage $v(t) = 25 \cos(400\pi t + 60^\circ)$ V. Please find:
a) the amplitude of the voltage, the frequency $\omega$ in hertz, the phase angle $\phi$ in degrees,
the period in milliseconds, and the rms value;
b) the first time after $t = 0$ that $v = 0$.
c) The sinusoidal function $v(t)$ is shifted $\frac{5}{6}$ ms to the right along the time axis. What is
the expression for $v(t)$ then?
d) What is the phasor representation of this voltage?

9.3 Consider the sinusoidal voltage v(t) = 25 cos(400π t + 60^∘) V. Please find:
a) the amplitude of the voltage, the frequency ω in hertz, the phase angle ϕ in degrees,
the period in milliseconds, and the rms value;
b) the first time after t = 0 that v = 0.
c) The sinusoidal function v(t) is shifted (5)/(6) ms to the right along the time axis. What is
the expression for v(t) then?
d) What is the phasor representation of this voltage?

Added by Dawn J.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Rajendra Kumar

Step 1

The frequency ω is given by the coefficient of t in the argument of the cosine function, which is 400. So the frequency is 400 Hz. The phase angle θ is given by the constant term in the argument of the cosine function, which is 60. So the phase angle is 60 Show more…

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9.3 Consider the sinusoidal voltage v(t) = 25 cos(400t + 60) V. Please find: a) the amplitude of the voltage, the frequency Ï‰ in hertz, the phase angle Î¸ in degrees, the period in milliseconds, and the rms value; b) the first time after t = 0 that v = 0. c) The sinusoidal function v(t) is shifted ms to the right along the time axis. What is the expression for v(t) then? d) What is the phasor representation of this voltage?