Question

Consider a circuit connected in parallel with three resistors, each providing a
resistance of 6, 8, and 4, respectively. Using the formula for total resistance in a
parallel circuit, what is the total resistance of the circuit?
a. 180
b. 1/240
c. 24/130
d. 13/240

Answer 1

Answer:

I believe that it's c it's a little confusing tho

Answer 2

The total resistance of the circuit containing three resistors connected parallel to each other is ²⁴/₁₃ ohms.

Equivalent resistance of the parralel circuit

The equivalent resistance of the parallel circuit is calculated as follows;

1/R = 1/r₁ + 1/r₂ + 1/r₃

where;

• r1 is the first reistance = 6 ohms
• r2 is the second resistance = 8 ohms
• r3 is the third resistance = 4 ohms

1/R = ¹/₆ + ¹/₈ + ¹/₄

1/R = ¹³/₂₄

R = ²⁴/₁₃

Thus, the total resistance of the circuit containing three resistors connected parallel to each other is ²⁴/₁₃ ohms.

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