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Vesna [10]
3 years ago
14

A 5.00-a current runs through a 12-gauge copper wire (diameter 2.05 mm) and through a light bulb. copper has 8.5 * 1028 free ele

ctrons per cubic meter. (a) how many electrons pass through the light bulb each second
Physics
2 answers:
Sholpan [36]3 years ago
8 0

Answer:

\frac{dN}{dt} = 3.125 \times 10^{19} electrons per second

Explanation:

As we know that electric current is defined as rate of flow of electric charge

so here we will have

i = \frac{dq}{dt}

here we know that

q = Ne

now from above equation

i = e\frac{dN}{dt}

here we know

\frac{dN}{dt} = number of electrons passing per second

e = charge of an electron

i = 5.00 Ampere

now from above equation we have

\frac{dN}{dt} = \frac{i}{e}

\frac{dN}{dt} = \frac{5}{1.6 \times 10^{-19}}

\frac{dN}{dt} = 3.125 \times 10^{19}

so above is the total number of electrons passing through wire per second

vlada-n [284]3 years ago
7 0

The correct answer is: 3.125*10^{19} electrons/second

Explanation:

5A current is passing through the copper wire and the light bulb; it means that 5 Coulombs of charge per second is passing through the wire (as current = coulombs/second). To find the electrons per second, the following formula is used:

Electrons per second = n_e=\frac{5}{e}=\frac{5}{ 1.60\cdot 10^{-19}}=3.125*10^{19}

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