Question

In a series RLC circuit, R indicates:

• A. Current in the circuit
• B. Inductance of the inductor
• C. Capacitance of the capacitor
• D. Resistance of the resistor

Hint:

The resistor ($R$) is the only component in an RLC circuit that dissipates active power as heat ($P = I^2R$). The inductor ($L$) and capacitor ($C$) only store and release reactive energy in magnetic and electric fields.

Answer 1

The Correct Option is D

Step 1: Deciphering the Acronym RLC:
A series RLC circuit is an electrical circuit consisting of a resistor, an inductor, and a capacitor connected in series across an AC power source.

Step 2: Identifying Individual Component Values:
In the standard circuit equation for impedance: $$Z = \sqrt{R^2 + (X_L - X_C)^2}$$ Each letter represents a specific electrical component parameter:

• R: The electrical Resistance of the resistor (measured in Ohms, $\Omega$).
• L: The self-Inductance of the electromagnetic coil/inductor (measured in Henrys, $\text{H}$).
• C: The electrostatic Capacitance of the capacitor (measured in Farads, $\text{F}$).

Step 3: Conclusion:
Therefore, $R$ indicates the resistance of the resistor, which corresponds to option (D).