Answer:
a. The current through the bulb can be calculated using Ohm's law, which states that current is equal to voltage divided by resistance:
I = V/R = 120 V / 330 ohms = 0.36 A
Therefore, the current through the bulb is 0.36 A.
b. The power of the bulb can be calculated using the formula P = VI, where P is power, V is voltage, and I is current:
P = VI = (120 V) x (0.36 A) = 43.2 W
Therefore, the power of the bulb is 43.2 watts or 0.0432 kW.
c. To calculate the cost to run the bulb for 10 hours at 8 cents/ kWhr, we need to first calculate the energy consumption in kilowatt-hours (kWh):
Energy consumption = power x time
Energy consumption = 43.2 W x 10 hours = 432 Wh = 0.432 kWh
The cost can now be calculated by multiplying the energy consumption by the cost per kWh:
Cost = energy consumption x cost per kWh
Cost = 0.432 kWh x $0.08/kWh
Cost = $0.03456
Therefore, the cost to run the bulb for 10 hours at 8 cents/ kWhr is $0.03456.