Select the correct Ohm’s law rearrangement: which formula gives current I when voltage V and resistance R are known (identify the valid relationship)?

Difficulty: Easy

Correct Answer: I = V/R

Explanation:


Introduction / Context:
Ohm’s law relates voltage, current, and resistance. Being able to rearrange this relationship is vital when solving for a specific variable in circuit problems or lab measurements.


Given Data / Assumptions:

  • Canonical form: V = I * R.
  • We need I in terms of V and R.
  • Assume ideal linear resistor behavior.


Concept / Approach:

From V = I * R, divide both sides by R to isolate current. Ensure the units are consistent: volts divided by ohms yields amperes, confirming dimensional correctness.


Step-by-Step Solution:

Start with V = I * R.Divide both sides by R: V / R = I.Reorder: I = V / R.


Verification / Alternative check:

Unit check: V / Ω = A, which is the SI unit for current.


Why Other Options Are Wrong:

I = V R multiplies instead of divides; I = R / V inverts the correct ratio; V = I R is true but solves for V, not I.


Common Pitfalls:

Mixing up division/multiplication when isolating variables; not checking units as a safeguard.


Final Answer:

I = V/R

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