Find the RMS value of Vit)-100 sin(377t+76) V 141,421 V 55,10 V 100 V 70.71 V
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Q: Find the RMS value of Vit)-100 sin(3771-76) V 141,421 V 55.10 V 100 V 70.71 V
A: Given: Voltage, Vt=100 sin377t+76° V
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- The average value of a double-frequency sinusoid, sin2(t+), is given by (a) 1 (b) (c) ZeroLet a 100V sinusoidal source be connected to a series combination of a 3 resistor, an 8 inductor, and a 4 capacitor. (a) Draw the circuit diagram. (b) Compute the series impedance. (C) Determine the current I delivered by the source. Is the current lagging or leading the source voltage? What is the power factor of this circuit?An industrial load consisting of a bank of induction motors consumes 50 kW at a power factor of 0.8 lagging from a 220-V,60-Hz, single-phase source. By placing a bank of capacitors in parallel with the load, the resultant power factor is to be raised to 0.95 lagging. Find the net capacitance of the capacitor bank in F that is required.
- Shown in the figure below is an "RC" circuit drive by an AC power source. The AC power source has an RMS voltage of Vps (RMS) = 11.58 Volts and is running at a frequency of f = 1.326e+04 Hz. resistor has a resistance of R = 3750 2 and the capacitor has an capacitance of C = 3.17e-09 Farads. Vps R ww Write the FORMULA for the total impedance of the circuit Ztot = Write the FORMULA for the phase of the total impedance of the circuit tot = Determine the numerical value of Ztot = Determine the numerical value of Pztot= Determine the current through the circuit: • I(PEAK) = • I(RMS) = Determine the voltage across the resistor: Amps Amps S2 C degreeswhat is the reactive power absorbed by the load ZL in VAR? Assume source is in rmsA harmonic analysis of the current drawn by a CFL yields the following data. Find the rms value of current and the wwwwwwww total harmonic distortion (THD). Harmonics rms Current (A) 1357a 0.15 0.12 0.08 0.03 0.02
- Shown in the figure below is an "RL" circuit drive by an AC power source. The AC power source has an RMS voltage of Vps (RMS) = 9.84 Volts and is running at a frequency of f = 8.585e+04 Hz. The resistor has a resistance of R = 2170 and the inductor has an inductance of L = 3.54e-03 Henries. Vps R ww Write the FORMULA for the total impedance of the circuit Ztot = Determine the numerical value of Ztot = 2890.5 Determine the numerical value of $z= = 41 Determine the current through the circuit: • I(PEAK) = 4.81E-3 • I(RMS) = 3.404E-3 Determine the voltage across the resistor: • VR(PEAK) = 7.387 • VR(RMS) = 5.22 ✔✔ Amps ✔Amps Write the FORMULA for the phase of the total impedance of the circuit z... = | tan-1 2701 R x Volts X Volts Determine the voltage across the inductor: • VL(PEAK) = 9.184 • VL(RMS) = 6.49 ✔ Volts Volts L R²+ WL- ✔ degrees 2 If a second circuit were connected in parallel with the inductor, this circuit would be considered as: O a low-pass filter O a capacitive switcher…In an experiment, the function generator is adjusted to generate a square voltage at a certain frequency. This voltage is displayed on an oscilloscope and the reading is 10 V peak-to-peak. The rms value of this voltage is .What will be the rms value of this voltage if the frequency is reduced to the half value? 3.536 Vrms . 3.536 Vrms O 5 Vrms . 1.7677 Vrms O 3.536 Vrms. 1.7677 Vrms O 5 Vrms . 5 Vrms ...... O 10 Vrms . 10 Vrms ......P.3: Find the rms value for the following sinusoidal waveforms a. v= 120 sin(377t + 60°) b. i=6x 10³ sin(2# 1000r) c. u=8 x 10-6 sin(2# 5000 + 30°) P.4: Find the rms value for the following sinusoidal waveforms a. v= 20 sin 754r b. v= 7.07 sin 377r c. i=0.006 sin(400r + 20°) d. i 16 x 10³ sin(377r - 10%) P.5: Write the sinusoidal expressions for voltages and currents having the following rms values at a frequency of 60 Hz with zero phase shifts: a. 4.8 V b. 50 mA c. 2 kV
- P.4: Find the rms value for the following sinusoidal waveforms a. v = 20 sin 754t b. v = 7.07 sin 377t c. i = 0.006 sin(400t + 20°) d. i 16 x 10-3 sin(377t - 10°)1) the RMS value of the current is? /2) the peak value of the voltage is?/3) the value of the reactive power is?ESSAY: Describe what happens to the power in this RLC series circuit as the capacitance decreases. Explain in general terms why the observed change should occur. Understand the effects of basic electrical components on the average power of the system and the concept of power factor. Differentiate between average power and real power.