TG EAMCET 4 May 2025 Shift 1 Paper

For a series L−C−R circuit:
Z=√R2+(XL−XC)2
Step 1: What does "purely resistive" mean?
If the circuit is purely resistive, it means only the resistor affects the circuit. So, the total impedance Z should equal the resistance R.
Step 2: Set impedance equal to resistance:
Z=R
So, R=√R2+(XL−XC)2
Step 3: Solve for XL and XC :
R2=R2+(XL−XC)2
Subtract R2 from both sides: 0=(XL−XC)2
This means: XL=XC
Conclusion:
If the circuit is purely resistive, the inductive reactance XL must be equal to the capacitive reactance XC.