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Ohm's Law is given by the equation
[tex]\[ V = I R \][/tex]
where [tex]\( V \)[/tex] is voltage in volts, [tex]\( I \)[/tex] is current in amperes, and [tex]\( R \)[/tex] is resistance in ohms.

A certain vacuum cleaner needs 8 amperes. Which equation can be used to determine the voltage for a given amount of resistance?

A. [tex]\[ V = \frac{8}{R} \][/tex]

B. [tex]\[ V = 0.8 R \][/tex]

C. [tex]\[ V = \frac{R}{8} \][/tex]

D. [tex]\[ V = 8 R \][/tex]

Sagot :

GinnyAnsweridn
To determine the correct equation for voltage based on the given current and resistance using Ohm's Law, let's proceed step-by-step:

1. Identify Ohm's Law:
Ohm's Law states that [tex]\( V = I \times R \)[/tex], where:
- [tex]\( V \)[/tex] is the voltage,
- [tex]\( I \)[/tex] is the current,
- [tex]\( R \)[/tex] is the resistance.

2. Given Information:
- The current [tex]\( I \)[/tex] is given as 8 amperes.

3. Substitute the given current into Ohm's Law:
Replace [tex]\( I \)[/tex] with 8 in the equation [tex]\( V = I \times R \)[/tex]:
[tex]\[ V = 8 \times R \][/tex]

4. Determine which option matches:
The equation derived is [tex]\( V = 8 \times R \)[/tex].

Comparing this with the given options:
- [tex]\( V = \frac{8}{R} \)[/tex] is not correct.
- [tex]\( V = 0.8 \times R \)[/tex] is not correct.
- [tex]\( V = \frac{R}{8} \)[/tex] is not correct.
- [tex]\( V = 8 \times R \)[/tex] is the correct equation.

Therefore, to determine the voltage for a given amount of resistance when the current is 8 amperes, the equation to use is:
[tex]\[ V = 8 \times R \][/tex]
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