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?简答题

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