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What is the electric potential of a [tex]$4.5 \times 10^{-5} C$[/tex] charge that has an electric potential energy of [tex]$0.027 J$[/tex]?

[tex]\[\square \text{ V}\][/tex]

Sagot :

GinnyAnsweridn
To find the electric potential [tex]\( V \)[/tex], you can use the relationship between electric potential energy [tex]\( U \)[/tex] and charge [tex]\( q \)[/tex]. The formula that relates electric potential [tex]\( V \)[/tex] to electric potential energy [tex]\( U \)[/tex] and charge [tex]\( q \)[/tex] is:

[tex]\[ V = \frac{U}{q} \][/tex]

Given values:
- Charge [tex]\( q = 4.5 \times 10^{-5} \)[/tex] Coulombs
- Electric potential energy [tex]\( U = 0.027 \)[/tex] Joules

Using the formula:

[tex]\[ V = \frac{0.027 \text{ J}}{4.5 \times 10^{-5} \text{ C}} \][/tex]

Perform the division:

[tex]\[ V = \frac{0.027}{4.5 \times 10^{-5}} \][/tex]

After calculating the above expression, we find:

[tex]\[ V = 600.0 \text{ V} \][/tex]

Thus, the electric potential is

[tex]\[ 600.0 \text{ V} \][/tex]
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