181, + j6(I1 – 12) + 4(I1 – 12) = 1020° -j1212 + 8(12 – l3) + 20490° + 4(I2 – 1) + j6(I2 –1) = 0 -j1013 + 1313 – 20290° + 8(13 – 12) = 0
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- A 15-F AC capacitor is connected in series with a 50 resistor. The capacitor has a voltage rating of 600 WVDC. The capacitor and resistor are connected to a 480-V, 60-Hz circuit. Is the voltage rating of the capacitor sufficient for this connection?The current through a 15kohm resistor is given below, using Ohm’s Law to find the voltage, convert to polar form, complete the math, then convert back to the waveform at i1 = 3.5sin(2500t) mA and i2 = 2.3sin(200t – 60°) mAIf an electrical circuit draws 100W + J100VAR from a sinusoidal source, then what would the circuit be? Explain why. a) a pure resistor circuit b) a series or parallel R-L circuit c) a series or parallel R-C circuit d) a series L-C circuit
- 7. In a pure inductive circuit, the phase angle between the voltage waveform and current waveform will havephase shift * 180 deg O deg 45 deg O 90 deg 8. Why do we say the "voltage across" or "the voltage with respect to?" Why can't we just say voltage? * Voltage is a measure of electric potential difference between two electrical points. O It's an electrical cliche. The other point could be negative or positive. None of the above.Activity 1: You are testing an electrical device which can be modelled by the figure shown below: 18 -j12 j6 8 -j10 i1 E1 12 13 E2 13 The above electric circuit can be characterized by the following equations: 1811 + j6(I1 – 2) + 4(I1 – I2) = 1020° -j121, + 8(12 – I3) + 20290° + 4(12 – 1) + j6(I2 – 1) = 0 -j1013 + 1313 – 20290° + 8(I3 - 12) = 0 1. Rearrange the above three equations. 2. Write the set of equations in matrix form (A.x = b) 3. Find the determinant of the resulted matrix (A).The waveforms show a voltage (v) and a current (i) for an AC circuit. The current signal has a value of 0A at t = 25ms, 75ms, and 125ms. The voltage signal reaches a maximum value of 5 volts at t = 83.33ms and 183.33ms. 6 5 4 3 i 1 1. 0.05 0.1 1 0.15 0.2 0.25 0.3 -1 1. -2 -3 -4 -5 -6 a) What is the frequency of the current signal, in Hz? b) What is the angular frequency of the voltage signal, in rad/s? c)What is the phase difference between the current and voltage [5 pts] signals (in degrees)? d)Does the voltage signal LEAD or LAG the current signal?
- A resistor R and a capacitor C are connected in series across a 400 V variable ac supply. When the frequency is 40 Hz, it draws 10 A current, and when the frequency is 50 Hz, it draws 15 A current. Find R and C.Let's say you measure t1/2 to be 0.037 seconds and the resistance in the circuit is 68 Ohms. Then what is the capacitance in micro Farads? Answer in micro Farads.a. individal current b. voltage source
- An alternating current is given by the expression i = 200 sin (314t + T/6) amperes. The maximum value is and the frequency of the current isA utility company plans to connect a total of 20uF of capacitance to a 7200 volt line. To make this connection four capacitors will be connected in series. What is the capacitance of each capacitor? Answer is 80uF. Now what is the minimum AC voltage rating of each capacitor?Show whether a limit cycle exists or not for the following nonlinear system x₁ =−x₂ + x₁₂x²₂² x₂ = x₂ + x₁²x²₂