A metallic object holds a charge of −4.8 × 10−6 C. What total number of electrons does this represent? (e = 1.6 × 10−19 C is the magnitude of the electronic charge.)

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Answer:

[tex]n=3.0\times 10^{13}[/tex]

Explanation:

Charge on 1 electron = [tex]-1.6\times 10^{-19}\ C[/tex]

The expression for charge is:-

[tex]Charge=n\times q_e[/tex]

Given that:- Charge = [tex]-4.8\times 10^{-6}\ C[/tex]

[tex]-4.8\times 10^{-6}=n\times (-1.6\times 10^{-19})[/tex]

[tex]n=\frac{4.8\times 10^{-6}}{1.6\times 10^{-19}}=3.0\times 10^{13}[/tex]

Total number of electrons, n = [tex]3.0\times 10^{13}[/tex]

The total number of electrons the charge represent is 3.0 × 10¹³

Calculating number of electrons

From the question, we are to calculate the total number of electrons

Using the formula,

Q = ne

Where Q is the total charge

n is the number of electrons

and e is the charge of an electron

From the given information,

q = - 4.8 × 10⁻⁶ C

(NOTE: The negative sign indicates the type of charge)

e = 1.6 × 10⁻¹⁹ C

Then,

4.8 × 10⁻⁶ = n × 1.6 × 10⁻¹⁹

n = [tex]\frac{4.8 \times 10^{-6} }{1.6 \times 10^{-19} }[/tex]

n = 3.0 × 10¹³

Hence, the total number of electrons the charge represent is 3.0 × 10¹³

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