The wattage rating of an appliance is given as W, in watts, and varies jointly as the resistance, R, in ohms, and as the square of the current, I, in amperes. If the wattage is 36 watts when the resistance is 100 ohms and the current is 0.6 amperes, find the wattage when the resistance is 300 ohms and the current is 0.5 amperes.
a. 75 watts
b. 150 watts
c. 45,000 watts
d. 300 watts

Question

The wattage rating of an appliance is given as W, in watts, and varies jointly as the resistance, R, in ohms, and as the square of the current, I, in amperes. If the wattage is 36 watts when the resistance is 100 ohms and the current is 0.6 amperes, find the wattage when the resistance is 300 ohms and the current is 0.5 amperes.
a. 75 watts 
b. 150 watts 
c. 45,000 watts 
d. 300 watts

ganeshie8 · Answer

hint-
W = k. I^2 . R -----------(1)

W = 36, I = 0.6, R = 100


solve for "k"