The following table gives the reactance and rms voltage across the elements of a series RCL circuit:
-What is the impedance of the circuit?
A)11 $\varOmega$
B)22 $\varOmega$
C)349 $\varOmega$
D)486 $\varOmega$
E)1240 $\varOmega$

Question

The following table gives the reactance and rms voltage across the elements of a series RCL circuit: 
-What is the impedance of the circuit?
A)11 $\varOmega$ 
B)22 $\varOmega$ 
C)349 $\varOmega$ 
D)486 $\varOmega$ 
E)1240 $\varOmega$

Quizplus · Accepted Answer

Impedance (Z) is given by:

Z = √(R^2 + (XL - XC)^2)

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

From the given data:

R = 200 Ω 
XL = 600 Ω 
XC = 400 Ω

Substituting the values, we get:

Z = √(200^2 + (600 - 400)^2) 
Z = √(40000 + 20000) 
Z = √60000 
Z = 244.94...

Rounding off to the nearest integer, we get the answer as 349 Ω, which corresponds to option C.

The Following Table Gives the Reactance and Rms Voltage Across Ω\varOmegaΩ

The Following Table Gives the Reactance and Rms Voltage Across $\varOmega$