The correct option is 50 Ω.
Explanation
The relationship between current, voltage, and resistance is governed by Ohm’s Law. It states that the current ($I$) flowing through a conductor is directly proportional to the potential difference ($V$) across its ends and inversely proportional to its resistance ($R$), provided physical conditions such as temperature remain constant.
The mathematical expression is:
$I = \frac{V}{R}$
Analysis
The question states that the supply voltage ($V$) is fixed. Therefore, the current ($I$) depends solely on the resistance ($R$) in an inverse manner ($I \propto \frac{1}{R}$).
- To obtain the greatest current, the resistance must be the lowest.
- Comparing the given options:
- 500 Ω 500 Ω
- 100 Ω 100 Ω
- 50 Ω 50 Ω
- 1000 Ω 1000 Ω
- The value 50 Ω is the smallest among the choices. Consequently, it offers the least opposition to the flow of charge, resulting in the highest current.
Key Takeaway: For a constant voltage, current is inversely proportional to resistance. The resistor with the lowest resistance value will always draw the maximum current.