Question

In the field of Physics, the total resistance (R) produced by three conductors with resistances (r1, r2, r3) connected in a parallel electrical circuit is given by the forμla:

a) R = (r1 * r2 * r3) / (r1 + r2 + r3)
b) R = (r1 + r2 + r3) / (r1 * r2 * r3)
c) R = 1 / (1/r1 + 1/r2 + 1/r3)
d) R = (r1 * r2) / (r1 + r2) + r3

Answer 1

The formula for calculating total resistance in a parallel circuit with three resistors (r1, r2, and r3) is given by the inverse of the sum of their reciprocals: R = 1 / (1/r1 + 1/r2 + 1/r3).

Step-by-step explanation:

In the field of Physics, when dealing with conductors and their resistance in a parallel electrical circuit, the total resistance (R) can be calculated using a specific formula. For three resistors connected in parallel, indicated as resistors r1, r2, and r3, the correct formula to find the total resistance R is:

R = 1 / (1/r1 + 1/r2 + 1/r3)

This formula is derived from the requirement that for resistors in parallel, the inverse of the total resistance is the sum of the inverses of the individual resistances. Therefore, the correct answer from the given choices is:

c) R = 1 / (1/r1 + 1/r2 + 1/r3)