In a circuit with a 12V battery and two resistors in parallel (4 ohms and 6 ohms

In a circuit with a 12V battery and two resistors in parallel (4 ohms and 6 ohms), what is the total current supplied by the battery?

In a circuit with a 12V battery and two resistors in parallel (4 ohms and 6 ohms), what is the total current supplied by the battery?

Correct Answer: 5 A

Step 1: Identify the values given in the problem. We have a 12V battery and two resistors: one is 4 ohms and the other is 6 ohms.
Step 2: Use the formula for equivalent resistance in parallel circuits: 1/R_eq = 1/R1 + 1/R2. Here, R1 is 4 ohms and R2 is 6 ohms.
Step 3: Substitute the values into the formula: 1/R_eq = 1/4 + 1/6.
Step 4: Find a common denominator to add the fractions. The common denominator for 4 and 6 is 12.
Step 5: Rewrite the fractions: 1/4 = 3/12 and 1/6 = 2/12.
Step 6: Add the fractions: 1/R_eq = 3/12 + 2/12 = 5/12.
Step 7: To find R_eq, take the reciprocal: R_eq = 12/5 = 2.4 ohms.
Step 8: Now, use Ohm's law to find the total current. Ohm's law states I = V/R.
Step 9: Substitute the values into Ohm's law: I = 12V / 2.4 ohms.
Step 10: Calculate the current: I = 5 A.

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