Electricity costs $0.114/kW-hr. What does it cost to run your game console for t

Question

Electricity costs $0.114/kW-hr. What does it cost to run your game console for the entire spring break week, 24 hours a day, if it has a resistance of 160 Ohm? Household voltage is 120 V. If you connect a 100-W bulb and a 60-W bulb in series across a 120-V outlet, how much power does each bulb use up? A small calculator uses two tiny 1.5-V batteries series. The normal operating power of the calculator is 0.00018 W. Determine how much current is passing through each battery when the calculator is on.

Explanation / Answer

here,

30)

electricity cost , C = 0.114 /KW -hr

resistance , R = 160 ohm

voltage , V = 120 V

time , t = 24 hour

cost , C' = t * C *V^2 /R

C ' = 24 * 0.114 * 120^2 /160

C' = 246.24 dollars

31)

P1 = 100 W

P2 = 60 W

V = 120 V

R1 = V^2/P1 = 120^2/100 = 144 ohm

R2 = V^2 /P2 = 120^2 /60

R2 = 240 ohm

current , I = V/(R1 + R2)

I = 120/( 144 + 240) = 0.3125 A

power across 1 , P1' = I^2 * R1 = 14.06 W

power across 2, P2' = I^2 * R2

P2' = 23.44 W

30)

when two battery in series , voltage , V= 2 * 1.5 = 3 V

operating power , P = 0.00018 W

let the current be I

V * I = P

3 * I = 0.00018

I = 6 * 10^-5 A

the currrent passing through each battery is 6 * 10^-5 A

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