As discussed in class, the RMS value of the voltage v(t) with a period T is: V rms = 1 T += Prove that Vrms =if v(t)=V, cos(at) to+I [ [v(t)]² dt
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- Consider a sinusoidal emf source, v(t) = Vm sin (@t) results of current of i(t) = Im sin (@t+0) is applied to circuit of R, L & C in series. How to find the voltage across each one?.R = 470 L₁ = 47 mH www 000 ZT voo L₂ = 200 mH (c) For the circuit above, the time domain form of the voltage waveform is v(t) = 22 V sin(6161t). determine the total impedance ZT and the determine the total current IT. (Current units are in milliamperes not amperes. Include leading zeros. (example: 0.312A) Do not shift the angles.) Q+j ZT= IF mAz C = 0.1 μF ΩWhat impedance vector 10 + j22 represents:A. A pure resistance. C. A pure capacitance.B. A pure inductance. D. An inductance combined with a resistance.
- A sinusoidal voltage is zero and increasing at t= -1.2ms. The next zero crossing occurs at t= 5.6ms. Calculate the Period T and Frequency f.For the circuit shown below, Given that V= 10020°V, and I 304Z30 Ams. %3D then the values of P2 rms and Q3 are given as Is P2 600 VAR Сарacitive 800 W 1200 W 1400 VAR Vs InductiveThe 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?
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- please write the complete solution and the topic is AC parallel circuits thank you A sinusoidal 50 Hz voltage of 200 V(rms) supplies the following three circuits which are inparallel (i) a coil of inductance 0.03 H and resistance 3 ohms,(ii) a capacitor of 40 microfaradin series with a resistance of 100 ohms, (iii) a coil of inductance 0.02 H and resistance 7 ohmsin series with a 300 microfarad capacitor. Find the total current supplied.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. (5 sentences)The RMS value of the voltage u(t)=3+4cos(3t) is ?