Question

Два проводника соединены сначала последовательно, а затем параллельно в цепь напряжением 36 В. Сопротивления проводников одинаковы и равны по 6 Ом каждый. Определите мощность тока в каждом случае, и сравните в каком случае выделится большая мощность и во сколько раз.

Answer 1

Последовательно:

Сопротивление: 5+5=10 Ом
Сила тока 4.5/10=0.45 А
Работа тока 0.45*0.45*10*т=2.025Дж

Параллельно:

Сопротивление: 2.5 Ом
Сила тока: 4.5/2.5=1.8 А
Работа тока: 1.8*1.8*2.5*т=8.1 Дж

Время опускаем.

8.1/2.025=4

Ответ: Во второй раз работа тока больше в 4 раза.

Answer 2

Calculation of Current and Power in Series and Parallel Circuit

To determine the current and power in each case, let's analyze the circuit step by step.

Given: - Two conductors connected first in series and then in parallel. - Voltage across the circuit is 36 V. - Resistance of each conductor is 6 Ω.

Series Connection:

When the conductors are connected in series, the total resistance is the sum of the individual resistances.

The total resistance in series connection is given by the formula: R_total = R1 + R2

Substituting the given values: R_total = 6 Ω + 6 Ω = 12 Ω.

Using Ohm's Law, we can calculate the current flowing through the circuit in series connection: I = V / R_total

Substituting the given values: I = 36 V / 12 Ω = 3 A.

The power in a circuit can be calculated using the formula: P = V * I

Substituting the given values: P = 36 V * 3 A = 108 W.

Parallel Connection:

When the conductors are connected in parallel, the total resistance is given by the formula: 1/R_total = 1/R1 + 1/R2

Substituting the given values: 1/R_total = 1/6 Ω + 1/6 Ω = 2/6 Ω = 1/3 Ω

Taking the reciprocal of both sides: R_total = 3 Ω.

Using Ohm's Law, we can calculate the current flowing through the circuit in parallel connection: I = V / R_total

Substituting the given values: I = 36 V / 3 Ω = 12 A.

The power in a circuit can be calculated using the formula: P = V * I

Substituting the given values: P = 36 V * 12 A = 432 W.

Comparison of Power:

In the series connection, the power dissipated is 108 W. In the parallel connection, the power dissipated is 432 W.

The power dissipated in the parallel connection is four times greater than in the series connection.

Therefore, in the parallel connection, a greater amount of power is dissipated compared to the series connection, and it is four times greater.

Please note that the calculations and comparison are based on the given information and assumptions.