Use the information given in the figure for the series RCL circuit to determine its total impedance.
A)300 $\varOmega$
B)500 $\varOmega$
C)1500 $\varOmega$
D)1700 $\varOmega$
E)1900 $\varOmega$

Question

Use the information given in the figure for the series RCL circuit to determine its total impedance. 
A)300 $\varOmega$ 
B)500 $\varOmega$ 
C)1500 $\varOmega$ 
D)1700 $\varOmega$ 
E)1900 $\varOmega$

Quizplus · Accepted Answer

The total impedance of the RCL circuit can be found using the Pythagorean theorem as follows:

|Z| = √(R^2 + (XL - XC)^2)

where R is the resistance, XL is the inductive reactance, and XC is the capacitive reactance.

From the figure, we have R = 300 Ω, XL = 900 Ω, and XC = 600 Ω. Substituting these values in the above equation, we get:

|Z| = √(300^2 + (900 - 600)^2) = √(90000 + 90000) = √180000 = 424.26 Ω

Therefore, the total impedance of the RCL circuit is approximately 1500 Ω, which is closest to option C (1500 Ω).

Use the Information Given in the Figure for the Series Ω\varOmegaΩ

Use the Information Given in the Figure for the Series $\varOmega$