Find the magnitude of the impedance and its phase angle

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Reference no: EM131010131

1. The standard electric voltage in a 60-Hz alternating-current circuit is given by V = 170 sin 120 πt, where t is the time in seconds. Sketch two periods of the graph of V as a function of t. Give amplitude and period of the function.

2. The electric current i (in μA) in a electric circuit is given by i = 4.8 cos 2 π (t + 0.4), where t is the time in seconds. Sketch three cycles of this function. Give amplitude, period and displacement for the function.

3. A particular AC circuit has a resistor of 4 Ω, a reactance across an inductor of 8 Ω and a reactance across a capacitor of 11 Ω.

a. Represent the impedance by a complex number, in rectangular form and in polar form.

b. Find the magnitude of the impedance and its phase angle.

c. Does the voltage lead or lag the current? Explain.

Reference no: EM131010131

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