2. Parallel Connection:

Question

a. Determine the equivalent resistance of a parallel circuit with two resistors of 6Ω and 8Ω.

Answer 1

To find the equivalent resistance of a parallel circuit with two resistors, you can use the formula:

1/Requivalent = 1/R1 + 1/R2

Where Requivalent is the equivalent resistance of the parallel circuit, R1 is the resistance of the first resistor, and R2 is the resistance of the second resistor.

In this case, R1 = 6Ω and R2 = 8Ω.

1/Requivalent = 1/6Ω + 1/8Ω

To simplify the equation, you need to find a common denominator:

1/Requivalent = (8/48Ω) + (6/48Ω)

1/Requivalent = 14/48Ω

To invert both sides of the equation to solve for Requivalent:

Requivalent = 48Ω / 14

Requivalent = 3.43Ω

Therefore, the equivalent resistance of the parallel circuit with two resistors of 6Ω and 8Ω is approximately 3.43Ω.