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What is the voltage drop across a load with resistance 4.0 Ω and current 3.0 A?

What is the voltage drop across a load with resistance 4.0 Ω and current 3.0 A?
Answer

Use Ohm’s law, $V = IR$. With $I = 3.0\,\text{A}$ and $R = 4.0\,\Omega$, the voltage drop is $V = (3.0)(4.0) = 12\,\text{V}$.

Explanation

What you are being asked to find

You are given the resistance of a load and the current through it. The voltage drop across the load is the potential difference needed to push that current through that resistance.

Apply Ohm’s law

Ohm’s law relates voltage, current, and resistance:

$$V = IR$$

Substitute the given values:

$$V = (3.0\,\text{A})(4.0\,\Omega) = 12\,\text{V}$$

Quick reasonableness check

A $4\,\Omega$ load draws $1\,\text{A}$ for every $4\,\text{V}$ applied. At $3\,\text{A}$, you would expect $3 \times 4\,\text{V} = 12\,\text{V}$, which matches.

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Skills You Achive
ohms-law basic-circuit-analysis unit-conversion algebra

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