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

Question

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.

in progress 0
Verity 3 years 2021-08-27T07:23:43+00:00 1 Answers 6 views 0

Answers ( )

  1. RuslanHeatt
    0
    2021-08-27T07:25:35+00:00
    Reply

    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:

    P=IV          (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:

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

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

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

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

Leave an answer

Browse

Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )