Final answer:
Using Ohm's Law, the potential difference needed to produce a current of 250 amperes through a 25-ohm resistance is calculated to be 6250 volts.
Step-by-step explanation:
Ohm's Law and Calculating Potential Difference
The student has asked: What is the potential difference if a resistance of 25 ohms produces a current of 250 amperes? To answer this question, we use Ohm's Law, which states that the potential difference (V) across a resistor is equal to the product of the current (I) flowing through that resistor and its resistance (R). Mathematically, this relationship is expressed as:
V = I × R
Given:
- Resistance (R) = 25 ohms
- Current (I) = 250 amperes
Using these values:
V = 250 A × 25 Ω = 6250 V
So, the potential difference that would produce a current of 250 amperes through a 25-ohm resistor is 6250 volts.