Answer:
Resistance, R = 60 Ohms
Step-by-step explanation:
Given the following data;
For the first heater;
Voltage, V = 120 V
Resistance, R = 15 Ohms
For the second heater;
Voltage, V = 240 V
To find the resistance in the second heater;
First of all, we would determine the power rating of the heaters using the formula below;
Power = voltage²/resistance
Power = 120²/15
Power = 14400/15
Power = 960 Watts
Next, we find the resistance in the second heater;
Power = V²/R
960 = 240²/R
Cross-multiplying, we have;
960R = 57600
R = 57600/960
R = 60 Ohms