A potential difference of 18.1 volts is applied across a resistor where the current is 0.67 A. What is the magnitude of the resistance, in ohms, in the circuit?

Question

BlackTom AI · Accepted Answer

We’re given a potential (voltage) across a resistor and the current through it, and we need to find the resistance.

- The relationship between voltage (V), current (I), and resistance (R) is Ohm’s law: V = I × R.
- To solve for resistance, rearrange the formula: R = V / I.

Substitute the given values:
- V = 18.1 volts
- I = 0.67 amperes

R = 18.1 / 0.67

Perform the division: 18.1 ÷ 0.67 ≈ 27.014925...

Given typical significant figures from the provided data (two decimals in voltage and two in current, yielding about two to three significant figures), reporting the resistance to the nearest whole ohm is reasonable. R ≈ 27 ohms.

Sanity check: multiply back to verify order of magnitude, 0.67 A × 27 Ω ≈ 18.09 V, which matches the given 18.1 V within rounding.

A potential difference of 18.1 volts is applied across a resistor where the current is 0.67 A. What is the magnitude of the resistance, in ohms, in the circuit?Short answer

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 statements does not represent ohm's law?

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

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