Final answer:
The potential difference across a wire with a resistance of 5Ω when a charge of 72 Coulombs passes through it per minute would theoretically be 6 volts, assuming '72°C' was a typo meant to indicate Coulombs. However, this does not match any of the provided answer options, suggesting a potential error in the question.
Step-by-step explanation:
To find the potential difference across a wire with a resistance of 5Ω when a charge passes through it, we use the formula derived from Ohm's Law:
V = I×R
However, the information given in the question seems to contain typos, such as '72°C' which is a temperature unit and not relevant in this context. Assuming this was meant to reflect a charge of 72 Coulombs (C) passing through per minute, we first need to convert this to current (I) in amperes (A), since 1 Ampere is equal to 1 Coulomb of charge passing per second.
To convert 72 Coulombs per minute to amperes, we divide by 60 seconds (since there are 60 seconds in a minute), giving:
I = 72 C / 60 s = 1.2 A
Now we can calculate the potential difference (V):
V = 1.2 A × 5Ω = 6 V
None of the answer options given (12V, 18V, 24V, 30V) match our result of 6V, therefore, the question as provided may have an error or require additional context that was not included in the original phrasing.