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Given [tex]V = 10 \, V[/tex] and [tex]R = 1 \, k\Omega[/tex], what will the value of the current be in a circuit?

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GinnyAnsweridn
To find the value of the current in a circuit given the voltage and resistance, we can use Ohm's Law. Ohm's Law states that the current [tex]\( I \)[/tex] flowing through a conductor between two points is directly proportional to the voltage [tex]\( V \)[/tex] across the two points and inversely proportional to the resistance [tex]\( R \)[/tex] between them. The formula is:

[tex]\[ I = \frac{V}{R} \][/tex]

Let's break down the given values:

- Voltage ( [tex]\( V \)[/tex] ) = 10 volts
- Resistance ( [tex]\( R \)[/tex] ) = 1 kiloohm ( [tex]\( 1 \ k\Omega \)[/tex] )

First, we need to convert the resistance from kiloohms to ohms because the standard unit of resistance is ohms ( [tex]\( \Omega \)[/tex] ). Since 1 kiloohm equals 1000 ohms, we have:

[tex]\[ R = 1 \ k\Omega = 1 \times 1000 \ \Omega = 1000 \ \Omega \][/tex]

Now, substituting the given values into Ohm's Law:

[tex]\[ I = \frac{V}{R} = \frac{10 \ \text{V}}{1000 \ \Omega} \][/tex]

[tex]\[ I = \frac{10}{1000} \][/tex]

[tex]\[ I = 0.01 \ \text{A} \][/tex]

Thus, the current [tex]\( I \)[/tex] in the circuit is [tex]\( 0.01 \)[/tex] amperes.
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