Given information:
Virtual current (I) = 5A
Virtual voltage (V) = 60V
Power consumed (P) = 180W

Calculating impedance:
Impedance (Z) is the overall opposition to the flow of current in an AC circuit. It consists of two components: resistance (R) and reactance (X).

Using the formula for power in an AC circuit:
P = I^2 * R

Substituting the given values:
180 = 5^2 * R

Simplifying the equation:
180 = 25R
R = 7.2Ω

Calculating reactance:
Reactance (X) is the opposition to the flow of current due to the inductance or capacitance in an AC circuit. In this case, we are dealing with a coil, so the reactance will be inductive.

Using the formula for reactance in an inductive circuit:
X = V / I

Substituting the given values:
X = 60 / 5
X = 12Ω

Calculating the ratio of resistance to reactance:
The ratio of resistance to reactance can be calculated as follows:

Resistance to reactance ratio = R / X
Resistance to reactance ratio = 7.2 / 12
Resistance to reactance ratio = 0.6

Explanation:
In an AC circuit, the impedance is the combination of resistance and reactance. The power consumed in the circuit is determined by the resistance. In this case, the power consumed is 180W, which is related to the resistance of the coil. By using the formula for power in an AC circuit, we can calculate the resistance of the coil to be 7.2Ω.

The reactance of the coil is determined by the inductance in the circuit. In this case, since we are dealing with a coil, the reactance is inductive. By using the formula for reactance in an inductive circuit, we can calculate the reactance of the coil to be 12Ω.

The ratio of resistance to reactance is calculated by dividing the resistance by the reactance. In this case, the ratio is 0.6.

This ratio provides information about how the resistance and reactance components contribute to the overall impedance of the coil. A higher resistance to reactance ratio indicates that the resistance component is dominant, while a lower ratio indicates that the reactance component is dominant.

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