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A 12.0 V car battery is being used to power the headlights of a car. Each of the two headlights has a power rating of 37.7 Watts. The number of electrons that pass through the car battery each second is ___ x 1019. Assume three significant digits in your answer. You do not need to use scientific notation when you enter your answer.

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mavila18

Answer:

3.921*10^19 electrons

Explanation:

To find the number of electron that trough the car battery you first calculate the current by using the following formula, which relates the power with the voltage:

[tex]P=IV[/tex]          (1)

P: power of both headlights = 2(37.7W) = 75.4 W

I: current = ?

V: voltage of the battery = 12.0 V

You solve the equation (1) for I:

[tex]I=\frac{P}{V}=\frac{75.4W}{12.0V}=6.283A=6.238\frac{C}{s}[/tex]

Next, you use the equivalence 1C = 6.241*10^18 electrons:

[tex]6.238\frac{C}{s}*\frac{6.241*10^{18}\ electrons}{1C}=3.921*10^{19}\ electrons/s[/tex]

The number of electrons that cross the battery per second is 3.921*10^19 electrons

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