1. A series circuit contains only a resistor and an inductor. The voltage V of t
ID: 2239582 • Letter: 1
Question
1. A series circuit contains only a resistor and an inductor. The voltage V of the generator is fixed. If R = 18 and L = 4.9 mH, find the frequency at which the current is one-half its value at zero frequency. Note: The ac current and voltage are rms values and power is an average value unless indicated otherwise. 2. In a series RCL circuit the dissipated power drops by a factor of 3.0 when the frequency of the generator is changed from the resonant frequency to a nonresonant frequency. The peak voltage is held constant while this change is made. Determine the power factor of the circuit at the nonresonant frequency. Note: The ac current and voltage are rms values and power is an average value unless indicated otherwise. If you could please show me your work I would really appreciate it! That is how I will learn best, thanks!Explanation / Answer
a) impedence at zero freq = R = 18
current is half ie impedance is doubled since voltage is constant
36 = sqrt[r^2 + (Lw)^2]
36 = sqrt[ 18^2 + (4.9*10^-3 *w)^2 ]
w = 6.36*10^3 rad/s or 1.01KHz
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