Which of the following statements does not represent ohm's law?

Question

BlackTom AI · Accepted Answer

Ohm's law is V = I·R, so the potential difference (voltage) across a conductor is proportional to the current through it with the constant of proportionality equal to the resistance.

1) Relevant concepts
- V = I·R is the standard form of Ohm’s law.
- Rearranged forms: I = V/R and R = V/I.
- For an ohmic conductor, V/I (resistance) is constant; equivalently I/V (conductance) is constant.
- Units check: V (volts), I (amperes), R (ohms = V/A).

2) Step-by-step reasoning
- Start from V = I·R.
- Solve for I: I = V / R. This is the correct expression for current in terms of voltage and resistance.
- Solve for R: R = V / I. This shows V/I is constant (resistance) for an ohmic device.
- Take reciprocal: I / V = 1 / R, also a constant (conductance) for an ohmic device.

3) Intermediate calculations and unit check
- From I = V/R, units: I (A) = V (V) ÷ R (V/A) = A, consistent.
- For the incorrect form I = R·V, units would be: R·V = (V/A)·V = V^2/A, which is not amperes — so that form is dimensionally wrong.

4) Why the correct answer is correct
- Option (a) states I = R × V, which contradicts V = I·R and is dimensionally inconsistent. The correct relation between I, V, and R is I = V/R, not I = R·V.

5) Why the other options are incorrect/why they do represent Ohm’s law
- (b) V / I = constant: equivalent to R = V/I — represents Ohm’s law.
- (c) I / V = constant: equivalent to conductance = 1/R — also valid for an ohmic conductor.
- (d) V = I × R: the standard statement of Ohm’s law — correct.

Conclusion: Option a is the statement that does not represent Ohm’s law. This matches the provided answer: a.

Which of the following statements does not represent ohm's law?Single choice

Similar Questions

A resistor with a resistance of 10 ohms is connected to a power supply that provides a voltage of 20 volts. Calculate the current flowing through the resistor.

Which of the following graphs best represents an ohmic conductor?

Which of the following is a correct statement of Ohm's law?

A multimeter is used to take a measurement as shown in the figure above. What will be the measured output?

For the graph shown in the figure, what physical quantity does the slope of the graph represent for ohmic material?

An electric heater draws a current of 20 A when connected to a 120 V power source. Its resistance is

When a 100 W, 240 V light bulb is operated at 200 V, the current that flows in it is

If a lamp has a resistance of 120 Ω when it operates at a power of 100 W, what current does the lamp carry?

More Practical Tools for Students Powered by AI Study Helper

Homework AI Solver

Stylized AI Paper Writer

Plagiarism Checker Assistant

Citation AI Academic Writing Tool

In-Class Translation Assistant

AI Note Generator

AI Quiz Answers

Past Exam Questions from University Test Bank

Smart Practice Assistant

Adaptive Practice

Making Your Study Simpler