In a circuit with a 24V battery and two resistors in series (R1 = 8Ω, R2 = 16Ω), what is the current flowing through the circuit?

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Q: In a circuit with a 24V battery and two resistors in series (R1 = 8Ω, R2 = 16Ω), what is the current flowing through the circuit?

Solution: Total resistance R_total = R1 + R2 = 8Ω + 16Ω = 24Ω. The current is I = V/R_total = 24V / 24Ω = 1A.

Steps: 7

Step 1: Identify the values given in the problem. We have a battery voltage of 24V and two resistors: R1 = 8Ω and R2 = 16Ω.
Step 2: Calculate the total resistance in the circuit. Since the resistors are in series, we add them together: R_total = R1 + R2 = 8Ω + 16Ω.
Step 3: Perform the addition: R_total = 8 + 16 = 24Ω.
Step 4: Use Ohm's Law to find the current. Ohm's Law states that I (current) = V (voltage) / R (resistance).
Step 5: Substitute the values into the formula: I = 24V / 24Ω.
Step 6: Perform the division: I = 1A.
Step 7: Conclude that the current flowing through the circuit is 1A.