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To determine the current flow in the circuit, you can use Ohm's Law, which states that the current (I) through a conductor between two points is directly proportional to the voltage (V) across the two points and inversely proportional to the resistance (R) of the conductor. The law is mathematically represented as:
[ I = \frac{V}{R} ]
In this scenario, the circuit is powered by a 24V DC battery, and the resistance of the circuit is 24 Ohms. By applying Ohm’s Law:
Substitute the values into the formula:
[ I = \frac{24V}{24Ω} ]
This simplifies to:
[ I = 1 \text{ amp} ]
So, the current flow in the circuit is indeed 1 amp. This is a fundamental application of Ohm’s Law, and understanding this principle is crucial for anyone working with electrical circuits, particularly in fire alarm systems where knowing the current is essential for determining the operation of devices like horns, strobes, and other components that rely on consistent current for effective function.
Other choices represent different current values obtained by miscalculating the relationship between voltage and resistance,