Question: A 12V battery is connected across a 3Ω resistor. Calculate the current flowing through the resistor.

Answer: The current flowing through a resistor can be calculated using Ohm's Law, which states that the current (I) through a conductor is equal to the voltage (V) across the conductor divided by the resistance (R) of the conductor. Mathematically, it is expressed as:

I = V / R

Given that the voltage (V) is 12V and the resistance (R) is 3Ω, we can substitute these values into the equation to find the current (I):

I = 12V / 3Ω

Therefore, the current flowing through the resistor is 4 amps (A).

Explanation: In this question, we are provided with the voltage across a resistor (12V) and its resistance (3Ω). To find the current through the resistor, we apply Ohm's Law. Ohm's Law, represented by the equation I = V / R, tells us that the current (I) is equal to the voltage (V) across the resistor divided by its resistance (R).

By substituting the given values into the equation, we obtain:

I = 12V / 3Ω

Simplifying the equation, 12V divided by 3Ω gives us an answer of 4A. Therefore, the current flowing through the resistor is 4 amps.