Question

Проводники сопротивлениями 2, 4 и 8 Ом соединены параллельно. Определить сопротивление участка(Ом)

Answer 1

Общее сопротивление R определяется из уравнения 1/R=1/R1+1/R2+1/R3, где R1=2 Ом, R2=4 Ом, R3=8 Ом - сопротивления проводников. Отсюда 1/R=1/2+1/4+1/8=7/8 См и R=1/(7/8)=8/7 Ом. Ответ: 8/7 Ом.

Answer 2

Problem Analysis

We are given three resistors with resistances of 2, 4, and 8 Ohms, connected in parallel. We need to determine the resistance of the equivalent circuit.

Solution

When resistors are connected in parallel, the total resistance (R_total) can be calculated using the formula:

1/R_total = 1/R1 + 1/R2 + 1/R3 + ...

In this case, we have three resistors connected in parallel, so the formula becomes:

1/R_total = 1/2 + 1/4 + 1/8

To find the value of R_total, we need to calculate the sum of the reciprocals of the resistances and then take the reciprocal of that sum.

Let's calculate the value of R_total step by step:

1. Calculate the sum of the reciprocals of the resistances: - 1/2 + 1/4 + 1/8 = 4/8 + 2/8 + 1/8 = 7/8

2. Take the reciprocal of the sum: - R_total = 8/7 Ohms

Therefore, the resistance of the equivalent circuit is 8/7 Ohms.

Answer

The resistance of the parallel combination of the three resistors with resistances of 2, 4, and 8 Ohms is 8/7 Ohms.