Question

Два резистори опорами 20 і 80 ом з'єднані паралельно. Визначте опір цієї ділянки кола.

Answer 1

Объяснение:

Опір паралельно з'єднаних резисторів можна знайти за формулою -
1/R = 1/R + 1/R2
де R1 і R2 - опори резисторів.
Підставляємо значення опорів -
1/R = 1/20 + 1/80
1/R = 0.05
R = 1/0.05
R = 20 ом
Отже опір цієї ділянки кола становить 20 ом.

Answer 2

Calculation of the Equivalent Resistance

To determine the equivalent resistance of two resistors connected in parallel, we can use the formula:

1/R_eq = 1/R_1 + 1/R_2 + ... + 1/R_n

In this case, we have two resistors with resistances of 20 Ω and 80 Ω connected in parallel. Let's calculate the equivalent resistance.

1/R_eq = 1/20 Ω + 1/80 Ω

To add these fractions, we need a common denominator. The least common multiple of 20 and 80 is 80. Let's rewrite the fractions with the common denominator:

1/R_eq = 4/80 Ω + 1/80 Ω

Now we can add the fractions:

1/R_eq = (4 + 1)/80 Ω

1/R_eq = 5/80 Ω

To find the reciprocal of 5/80 Ω, we invert the fraction:

R_eq = 80/5 Ω

Simplifying the fraction:

R_eq = 16 Ω

Therefore, the equivalent resistance of the two resistors connected in parallel is 16 Ω.

Conclusion

The equivalent resistance of two resistors with resistances of 20 Ω and 80 Ω connected in parallel is 16 Ω.