This question involves the concepts of current, power, and charge.
a) The power of taser is "2.75 watt".
b) The magnitude of charge flow per second "2.5 x 10⁻³ C/s".
c) Electrons flow per second is "1.56 x 10¹⁶ electrons/s".
a) Power
The power of the taser can be given by the following formula:
P = IV
where,
- P = Power = ?
- I = current = 2.5 mA = 2.5 x 10⁻³ A
- V = potential difference = 1100 V
Therefore,
P = (2.5 x 10⁻³ A)(1100 V)
P = 2.75 Watt
b) Charge Flow per Second
The charge flow per second is equal to the current passing through taser.
[tex]\frac{q}{t}=I[/tex]
where,
- [tex]\frac{q}{t}[/tex] = charge flow per second = ?
- I = current = 2.5 mA = 2.5 x 10⁻³ A
Therefore,
[tex]\frac{q}{t}=2.5\ x\ 10^{-3}\ C/s[/tex]
c) Electron Flow per Second
The electron flow per second is given by the following formula:
[tex]I = \frac{q}{t} = \frac{ne}{t}\\\\\frac{n}{t}=\frac{q}{te}[/tex]
where,
- [tex]\frac{n}{t}[/tex] = electrons flow per second = ?
- e = charge on one electron = 1.6 x 10⁻¹⁹ C
Therefore,
[tex]\frac{n}{t}=\frac{2.5\ x\ 10^{-3}\ C/s}{1.6\ x\ 10^{-19}\ C}\\\\\frac{n}{t}=1.56\ x\ 10^{16}\ electrons/s[/tex]
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