b. If a 12V battery is connected to a series circuit with two resistors of 5Ω and 8Ω, calculate the total current flowing through the circuit.
To calculate the total current flowing through the circuit, we need to use Ohm's Law. Ohm's Law states that current (I) is equal to voltage (V) divided by resistance (R), or I = V/R.
In this case, we have a 12V battery connected to a series circuit with two resistors of 5Ω and 8Ω. To find the total resistance (R_total) of the circuit, we add the individual resistances together: R_total = 5Ω + 8Ω = 13Ω.
Now that we have both the voltage (V = 12V) and the total resistance (R_total = 13Ω), we can calculate the total current (I) using Ohm's Law: I = V/R_total = 12V / 13Ω = 0.92A.
Therefore, the total current flowing through the circuit is 0.92A.
To calculate the total current flowing through the circuit in a series circuit, you need to first calculate the total resistance, and then use Ohm's Law (I = V/R) to find the current.
Step 1: Calculate the total resistance (Rt) by summing up the resistances of the two resistors. In a series circuit, resistances add up.
Rt = 5Ω + 8Ω
Rt = 13Ω
Step 2: Use Ohm's Law to find the total current (I).
I = V/Rt
I = 12V / 13Ω
Therefore, the total current flowing through the circuit is approximately 0.923 Amps.