2. Parallel Connection:
a. Determine the equivalent resistance of a parallel circuit with two resistors of 6Ω and 8Ω.
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.
To find the equivalent resistance of a parallel circuit with two resistors, you can use the formula:
1/Req = 1/R1 + 1/R2
where Req is the equivalent resistance, 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.
Plugging these values into the formula:
1/Req = 1/6 + 1/8
To simplify the equation, find a common denominator:
1/Req = (8 + 6) / (8 * 6)
1/Req = 14 / 48
Now, take the reciprocal of both sides to find Req:
Req = 48 / 14
Req = 3.43Ω (rounded to two decimal places)
Therefore, the equivalent resistance of the parallel circuit with resistors of 6Ω and 8Ω is approximately 3.43Ω.