Final answer:
The resistance of a 200W - 220V heater is 242 ohms. When connected to a 110V line, its power output is approximately 50W, and it can draw about 0.45 amperes of current.
Step-by-step explanation:
To calculate the resistance of a heater rated at 200W - 220V, we can use the formula P = V^2 / R, where P is the power, V is the voltage, and R is the resistance. Rearranging this formula to solve for R gives us R = V^2 / P. Plugging in the values for this heater, we get R = 220^2 / 200, which calculates to a resistance of 242 ohms.
If this heater is connected to a 110V line, its power output will also change since power, P, varies with the square of the voltage when the resistance remains constant. The new power can be calculated using the formula P = V^2 / R. Substituting the new voltage and the previously found resistance into this formula yields P = 110^2 / 242, which results in a power output of approximately 50W when connected to a 110V line. The current it can draw at 110V can then be calculated using the formula P = IV, where I is current. In this case, I = P / V, so I = 50 / 110, which gives us a current draw of approximately 0.45 amperes.