In a parallel circuit with two resistors of 4 ohms and 6 ohms, what is the total

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Question: In a parallel circuit with two resistors of 4 ohms and 6 ohms, what is the total current if the voltage across the circuit is 12 V?

Options:

Correct Answer: 3 A

Solution:

First, find the equivalent resistance: 1/R_eq = 1/4 + 1/6 => R_eq = 2.4 ohms. Then, I = V/R_eq = 12 V / 2.4 ohms = 5 A.

In a parallel circuit with two resistors of 4 ohms and 6 ohms, what is the total current if the voltage across the circuit is 12 V?

In a parallel circuit with two resistors of 4 ohms and 6 ohms, what is the total current if the voltage across the circuit is 12 V?

Correct Answer: 5 A

Step 1: Identify the resistors in the parallel circuit. We have one resistor of 4 ohms and another of 6 ohms.
Step 2: Use the formula for equivalent resistance in a parallel circuit: 1/R_eq = 1/R1 + 1/R2.
Step 3: Substitute the values of the resistors 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: Invert the fraction to find R_eq: R_eq = 12/5 = 2.4 ohms.
Step 8: Use Ohm's Law to find the total current: I = V/R_eq.
Step 9: Substitute the voltage and equivalent resistance into the formula: I = 12 V / 2.4 ohms.
Step 10: Calculate the total current: I = 5 A.

Parallel Circuit Resistance – Understanding how to calculate the equivalent resistance of resistors in parallel using the formula 1/R_eq = 1/R1 + 1/R2.
Ohm's Law – Applying Ohm's Law (I = V/R) to find the total current in the circuit once the equivalent resistance is determined.