Problem 3: For the circuit shown here, the current and voltage are as follows: vs(t) 17cos(wt-45°) V is(t) 50sin(wt-120°) A Answer the following questions: a) For w=377 rad/s, determine the impedance, Z. Z=(-0.328 + j0.088) b) Although the individual circuit elements contributing to the impedance Z are not known, is it possible that they are all resistors? Explain the reasoning supporting your answer. c) If w=100 rad/s, and the voltage and current remain as shown above, has there been a change to the values of one or more of the individual circuit elements contributing to the impedance? Explain the reasoning supporting your answer. Problem 4: The circuit shown here contains an AC voltage source. Determine the current phasor, IR, using the following circuit element values given in terms of phasors and impedances: Vs=20V R₁ =9 R₂-170 L₁ =140 C₁ = -j5n L₁ R₂ Problem 5: Since capacitors and inductors cause opposite phase shifts (+90°) between their voltage (1) and current in an AC circuit, =1.52e77.3° a R₁ R₂ they can be used together to keep current and voltage in phase for maximum power delivery. In the circuit shown here, a capacitor has been placed in parallel with an inductor (e.g., motor) to keep the voltage and current in phase. For w = 10* rad/s, determine the value of C needed to keep v(t) and i(t) in phase for the following circuit element values: R₁ = 50 R₂ =250 L= 2.5 mH C=4F Hint: For i(t) to be in phase with s(t), the equivalent input impedance Z seen by the source must be purely real.

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Introduction to Ac circuits. show detailed illustration and step by step solution

The peak amplitude of the sinusoidal voltage source in the circuit shown in the figure is 180 V, a phase of 0 degrees, and its frequency is 5000 rad/s. a)Find VTH and ZTH for the thevenin equivalent circuit. b)Draw the thevenin circuit. c)Calculate the average power delivered to the load (between points a and b) when the load consists of a resistor and capacitor with RL=2000 0 and CL=0.2 uF. d)Determine the settings of RL and CL that will result in the most average power being transferred. e)What is the average power in (c)? Is it greater than the power in (a)? 6 kN 0.6 H a Vg 12 k2 9. +

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5. Two ac sources feed a common variable resistive load as shown in figure. Under the maximum power transfer condition, the power absorbed by the load resistance RL is? 11020° 602 w 18.0 m 652 802 Mm 9020°

An impedance load consisting of 12 ohms resistance and 16 ohms inductance reactance is connected across a 50 Hz, 100 V source. Find the capacitance of the condenser which may be paralleled with this load to bring the power factor to 0.80 leading.

Ac - 100 VrmsR1 - 1kR2 - 500Rload - 1kCapacitor - 2uF Q1. How much is the capacitor voltage lagging from the AC source

Required information An ac motor with impedance ZL = (2.8 +1.60) Q is supplied by an RMS value of 220-V, 60-Hz source. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Find the power factor, the average power, and the reactive power. The power factor of the given ac motor is The average power of the given ac motor is The reactive power of the given ac motor is kW. KVAR.