To determine the power in this circuit, we can use the formula derived from Ohm's Law and the power formula. The relationship between power (P), resistance (R), and current (I) is given by the equation:
[ P = I^2 \times R ]
In this case, the resistance ( R ) is 200 ohms and the current ( I ) is 0.02 amps.
First, we can calculate the power:
Calculate ( I^2 ): [ I^2 = (0.02)^2 = 0.0004 ]
Now, multiply ( I^2 ) by ( R ): [ P = 0.0004 \times 200 = 0.08 ]
Thus, the value of power ( P ) is 0.08 watts. This calculation shows that the option reflecting this value is indeed the correct answer. The use of the correct formula allows for a clear understanding of the relationships between current, resistance, and power in an electrical circuit.