According formulla .P= RV^2/Z. SO LOW resistance and low inductance .option D Is correct.

Answer:

In an LCR circuit, the power loss is determined by the resistance (R) in the circuit. Therefore, the condition that will result in the least power loss for an AC voltage source is when the resistance is low.

Explanation:

An LCR circuit consists of three components - an inductor (L), a capacitor (C), and a resistor (R) connected in series. The behavior of this circuit depends on the values of these components and the frequency of the AC voltage source.

When an AC voltage is applied to the circuit, the inductor and capacitor react differently to the alternating current. The inductor opposes changes in current, whereas the capacitor opposes changes in voltage. This results in a phase difference between the current and voltage in the circuit.

Power Loss in an LCR Circuit:

The power loss in an LCR circuit is given by the formula P = I^2 * R, where P is the power loss, I is the current flowing through the circuit, and R is the resistance.

In an LCR circuit, the current is given by I = V/Z, where V is the voltage of the AC source and Z is the impedance of the circuit.

The impedance of an LCR circuit is given by Z = √(R^2 + (XL - XC)^2), where XL is the inductive reactance and XC is the capacitive reactance.

The power loss in the circuit can be minimized by reducing the resistance (R). Therefore, the condition that will result in the least power loss is when the resistance is low.

Options Analysis:

A. High resistance and high inductance: This option would result in a high power loss because of the high resistance.

B. High resistance and low inductance: This option would also result in a high power loss due to the high resistance.

C. Low resistance and high inductance: This option would result in a lower power loss compared to options A and B because of the low resistance.

D. Low resistance and low inductance: This option would result in the least power loss among the given options because of the low resistance.

Conclusion:

To minimize the power loss in an LCR circuit for an AC voltage source, the circuit should have low resistance and low inductance. Therefore, option D is the correct answer.