$$\text { Figure } 10

Question

$$\text { Figure } 10 < 1$$
-What is the circuit's impedance in Figure 10-1?
A) 520 $\Omega$ 
B) 418 $\Omega$ 
C) 280$\Omega$ 
D) 120 $\Omega$

Quizplus · Accepted Answer

The circuit consists of a capacitor and a resistor in parallel. The impedance of the capacitor is given by Xc=1/(2*pi*f*C), where f is the frequency of the AC signal and C is the capacitance of the capacitor. Since the frequency and capacitance are not given, we cannot calculate Xc directly. However, we know that the impedance of the parallel combination is given by Z = R*Xc/(R+Xc). Since Xc is inversely proportional to f, decreasing the frequency will increase Xc and hence the impedance. Therefore, we can conclude that the lowest impedance will occur at the highest frequency. Since the statement "Figure 10 < 1" implies that the frequency is less than 1 Hz, we can select the option with the lowest impedance, which is B) 418 Ω.

Figure 10<1\text { Figure } 10 < 1 Figure 10<1 -What Is the Circuit's Impedance in Figure 10-1? A) 520

$\text { Figure } 10 < 1$ -What Is the Circuit's Impedance in Figure 10-1?
A) 520