Each question is worth 5 points for a total of 25 possible points. 1. A sinusoid

Question

Each question is worth 5 points for a total of 25 possible points. 1. A sinusoidal voltage has the form: V(t) = 339sin377t a)The peak voltage is volts. b)The RMS voltage is volts. c)The angular frequency of oscillation omega is radians/second. d)The frequency of oscillation cycles/second (Hz). e)The time period T of oscillation is seconds. 2. Find the expected reactance X in Ohms when alternating currents of f_1 = 60 Hz and f_2 = 1000Hz are applied to a) a 25muF Capacitor b) a 50mH Inductor 3. a) Does the phase angle in an RLC circuit depend on frequency? Explain. b) What is the phase angle for the circuit when the Inductive Reactance and the Capacitive Reactance are equal?

Explanation / Answer

Here ,

V = 339 sin(377 t)

as V = A * sin(w * t)

a) comparing the voltage

A = 339 V

the peak voltage is 339 V

b)

for the rms voltage

Vrms = Vpreak/sqrt(2)

Vrms = 339/sqrt(2)

Vrms = 239.7 V

c)

comparing the angular frequency

w = 377 rad/s

the angular frequency is 377 rad/s

d)

f = w/2pi

f = 377/(2pi)

f = 60 Hz

the frequency of oscillation is 60 Hz

e)

Time period = 1/f

Time period = 1/60 s

Time period = 0.0167 s

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