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3. For this problem use Mathematica. Hand in Mathematica code and plots. Refer t

ID: 2012469 • Letter: 3

Question

3. For this problem use Mathematica. Hand in Mathematica code and plots.
Refer to problem 2 below.
R = 100 ohms L = 0.25 h V = 100 V. The angular frequency is omega.
a) At what value of omega is |VR| = V/2. Evaluate the phase in tbis case.
b) Plot |VR| and |VL| against omega.
c) Plot the phase angles of VR and VL against omega.
d) Plot a phasor diagram showing VR and VL for the case given in a).

2. A circuit consists of a resistor R, and an inductor L, in series with an alternating voltage
source V , whose angular frequency is omega, phase=0.
a) When the voltage across the resistor |VR| = V/2 write the phase of the voltage VR.
b) Does |VL| = V/2 ? Explain.
c) Draw a phasor diagram showing the voltages across each component when |VR| = V/2
Explain

Thanks!

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