A series circuit consisting of an inductance `-` free resistance `R=0.16 k Omega` and coil with active resistance is connected to the mains with effective voltabe `V=220 V`. Find the heat power generated in the coil if the effective voltage values across the resistance `R` and the coil are equal to `V_(1)=80V` and `V_(2)=180V` respectively.

Explanation

To solve the problem step by step, we will use the given information and apply relevant formulas from the theory of alternating current circuits.

### Step 1: Understand the Circuit
The circuit consists of a resistor \( R \) and a coil (which has its own resistance \( R_1 \)). The effective voltage across the resistor \( R \) is \( V_1 = 80 \, V \) and across the coil is \( V_2 = 180 \, V \). The total voltage supplied is \( V = 220 \, V \).

### Step 2: Calculate the Total Resistance
The total voltage across the circuit is given by the sum of the voltages across the resistor and the coil:
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