a.) How much power does the air conditioner draw? i got 3700 W for this. I need

Question

a.) How much power does the air conditioner draw?

     i got 3700 W for this.

I need parts b,c, and d.

b.) If the length of the cord (containing two wires) is 2.5m , how much power is dissipated in the wiring?

c.) If no. 12 wire, with a diameter of 2.053 mm was used instead, how much power would be dissipated?

d.) Assuming that the air conditioner is run 15h

per day, how much money per month (30 days) would be saved by using no. 12 wire? Assume that the cost of electricity is 12 cents per kWh

kWh

An air conditioner draws 17 A at 220-V ac. The connecting cord is copper wire with a diameter of 1.450 mm. Part B If the length of the cord (containing two wires) is 2.5 m. how much power is dissipated in the wining? Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

b) resistivity of copper = 1.68*10^-8 ohm m

thus resistace = 1.68*10^-8*2.5/(3.14*(1.45*10^-3)^2) = 0.0063618531169293455622 ohms

thus power = I^2r = 17^2*(0.0063618531169293455622)=1.8385755507925808674758 W

c) resistace = 1.68*10^-8*2.5/(3.14*(2.053*10^-3)^2) = 0.0031735236824121683912 ohms

thus power = I^2r = 17^2*(0.0031735236824121683912)=0.9171483442171166650568 W

d) energy = pwer*time =0.9171483442171166650568*30*24*60*60 = 2377248.5082107663958272256 J

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