Passage VII

An RCL circuit contains an alternating current (AC) power supply, a resistor having a resistance R, a capacitor having a capacitance C, and an inductor having an induc­tance L (see Figure 1).

The capacitor and inductor each possess impedance, a type of electrical resistance. The angular frequency of the cur­rent, ω, is a measure of the number of times each second that the current reverses direction.

Figure 2 shows, for specific values of C, L, and average voltage, V, how the average current, I, varies with ω and with R.

Figure 2 adapted from David Halliday and Robert Resnick, Physics, Part 2, 3rd ed. ©1978 by John Wiley and Sons, Inc.

For a given R, the peak average current, Imax, occurs at the resonant angular frequency, ω0 .

Figure 3 shows how ω0 varies with L and C.

36. What is the resonant angular frequency of the RCL cir­cuit for the conditions given in Figure 2 ?

Answer and Explanation

Your Answer is

Correct Answer is H

Explanation

First look at the last two lines of text on the left half of the page For a given R, the peak average current, Imax, occurs at the resonant angular frequency. Then look at figure 2, when R is different values, the abscissa corresponding to Imax is 1.00