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What is the current draw of a [tex]$120\text{ V}$[/tex] circuit with a resistance of [tex]$20\ \Omega$[/tex]?

Select one:
A. [tex]$\frac{120\text{ V}}{20\ \Omega} = 6\text{ A}$[/tex]
B. [tex]$120\text{ V} \times 20\ \Omega = 2,400\text{ A}$[/tex]
C. [tex]$120\text{ V} + 20\ \Omega = 140\text{ A}$[/tex]
D. [tex]$\frac{20\ \Omega}{120\text{ V}} = 0.17\text{ A}$[/tex]

Sagot :

GinnyAnsweridn
To determine the current draw of a [tex]$120$[/tex]-volt circuit with a resistance of [tex]$20$[/tex] ohms, we can use Ohm's law. Ohm's law states that the current ([tex]\(I\)[/tex]) in a circuit is equal to the voltage ([tex]\(V\)[/tex]) divided by the resistance ([tex]\(R\)[/tex]).

### Step-by-Step Solution

1. Identify the given values:
- Voltage ([tex]\(V\)[/tex]): [tex]$120$[/tex] volts
- Resistance ([tex]\(R\)[/tex]): [tex]$20$[/tex] ohms

2. Write the formula for Ohm's law:
[tex]\[ I = \frac{V}{R} \][/tex]

3. Substitute the given values into the formula:
[tex]\[ I = \frac{120 \, \text{volts}}{20 \, \text{ohms}} \][/tex]

4. Divide the voltage by the resistance to find the current:
[tex]\[ I = 6 \, \text{amperes} \, (A) \][/tex]

So, the current draw of the [tex]$120$[/tex]-volt circuit with a resistance of [tex]$20$[/tex] ohms is [tex]$6$[/tex] amperes.

### Answer Selection
From the given options:
A. [tex]\(120 V / 20 = 6 A\)[/tex]
B. [tex]\(120 V \times 20 = 2,400 A\)[/tex]
C. [tex]\(120 V + 20 = 140 A\)[/tex]
D. [tex]\(20 / 120 V = 0.17 A\)[/tex]

The correct answer is:
A. [tex]$120 V / 20=6 A$[/tex]
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