Calculate the effective (RMS) value of the periodic current signal graphically given below. i (A) 1 T/4 T/2 3T/4 5T/4 t (s)
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Q: Given the circuit below. i, (t) = v210 cos(377t). Give your answer in four decimal places if it is…
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- A voltage is given by the following expression: v(t) = 550*Sin(377*t + 45) Determine: Amplitude, RMS value, Frequency in Hertz, Phase Angle in RadiansConsider the sinusoidal voltage: v(t) = 125cos (250πt –25°) V. a.What is the maximum amplitude of the voltage? b.What is the frequency in hertz? c.What is the angular frequency in radians per second?The root mean square (or RMS) is anothermeasure of average value, often used with oscillating functions(for example, sine and cosine functions that describe the current,voltage, or power in an alternating circuit). The RMS of a function ƒ on the interval [0, T] isCompute the RMS of ƒ(t)= A sin(Ѡt), where A and v arepositive constants and T is any integer multiple of the period ofƒ, which is 2∏/Ѡ.
- the average power of a load is 3.37 kW with a leading power factor of 0.835. the magnitude of the rms voltage accross the load is given by |Vrms| = 450 V. If the frequency is assumed to be 60 Hz, calculate the apparent power, reactive power, impendance and the value of the capacitor in the circuit.The following is given for a series R-L-C circuit: resistor (R) = 8 Ohms, an inductor (L) = 32 mH and a capacitor (C) = 800uF. The circuit is supplied by a voltage source of e = 120 sin (125t) Volts. What is the angular frequency of the ac source? What is the period of ac source? What is the circuit impedance? What is the power factor? What is the real power of the circuit? What is the rms value of the circuit current?Given the sinusoidal voltage ?(?)=50cos(30?+10?) V. Find the following: (a) the amplitude, ?? (b) the period, T (c) the frequency, f (d) the angular frequency, ? and (e) ?(?) at t=10 ms
- The rms value of the sinusoidal voltage supplied to the convenienceoutlet of a home in the United States is 120 V. What is the maximumvalue of the voltage at the outlet?Communication Systems Consider the signal w(t) = 6cos(8pt) + 2cos(4pt) Calculate the rms value Wrms and the normalized average power Pw of the signal. Find and plot the power spectral density Pw (f ) of the signal. Find the autocorrelation function of w(t) [Hint: 2cos x cos y = cos(x + y) + cos(x - y) ; 2cos2 x = (1+ cos 2x) ]Determine the time-domain expressions for the line-to-line voltages vAB, vBC, and vCA. Please report your answer so the magnitude is positive and all angles are in the range of negative 180 degrees to positive 180 degrees
- The voltage and current at the terminals of a network are v = 15+400 cos 500t+100 sin 1500t V, i = 2+5 sin (500t+ 60 ∘)+3 sin (1500t− 15 ∘ ) A. The current is in the direction of the voltage drop across the terminals. What is the rms value of the current?A coil has a resistance of 50 ohms and an inductance of 0.5 Henry. What is the RMS value of current flowing in the coil if the supply voltage is Vt = 500sin377t.A sinusoidal voltage is given by the expression v=300 cos(120πt+30∘) V.1. What is the period of the voltage in milliseconds?2. What is the frequency in hertz?3. What is the magnitude of v at t=2.778 ms?4. What is the rms value of v?