Final Answer:
The current through resistor C is 2 amperes.
Step-by-step explanation:
In this circuit, the total voltage is 12 volts, and the total resistance is 6 ohms. Using Ohm’s law (V = IR), we can calculate the total current flowing in the circuit as I = V/R = 12V/6Ω = 2A. Since the resistors are in series, the current through each resistor is the same. Therefore, the current through resistor C is also 2 amperes.
The calculation for the total current flowing in the circuit is obtained by dividing the total voltage by the total resistance. This yields a value of 2 amperes. Since the resistors are connected in series, the current remains constant throughout the circuit. Therefore, the current through resistor C is also 2 amperes.
In summary, based on Ohm’s law and the fact that resistors in series have the same current passing through them, we can conclude that the current through resistor C is 2 amperes.