Question

Два проводника сопротивлением по 5 Ом каждый соединены сначала последовательно а потом параллельно и в обоих случаях включены под напряжением 4,5В. В каком случае работа за одно и тоже время будет больше и во сколько раз?​

Answer 1

Ответ:

в случае параллельного соединения, работа будет в 4 раза больше.

Answer 2

Calculation of Total Resistance:

To determine the work done in each case, we first need to calculate the total resistance in both the series and parallel configurations.

In the series configuration, the total resistance is the sum of the individual resistances: Total resistance in series = 5 Ω + 5 Ω = 10 Ω.

In the parallel configuration, the total resistance is calculated using the formula: Total resistance in parallel = 1 / (1/5 Ω + 1/5 Ω) = 2.5 Ω.

Calculation of Work Done:

The work done in an electrical circuit can be calculated using the formula: Work = Voltage * Current * Time.

In both cases, the voltage is given as 4.5 V.

To calculate the current, we can use Ohm's Law: Current = Voltage / Resistance.

Let's calculate the work done in each case.

Work Done in Series Configuration:

In the series configuration, the total resistance is 10 Ω. Therefore, the current flowing through the circuit can be calculated as: Current = 4.5 V / 10 Ω = 0.45 A.

Now, we can calculate the work done: Work = 4.5 V * 0.45 A * Time.

Work Done in Parallel Configuration:

In the parallel configuration, the total resistance is 2.5 Ω. Therefore, the current flowing through the circuit can be calculated as: Current = 4.5 V / 2.5 Ω = 1.8 A.

Now, we can calculate the work done: Work = 4.5 V * 1.8 A * Time.

Comparison of Work Done:

To determine which case results in more work done, we need to compare the two expressions for work done in each configuration.

In the series configuration, the work done is given by: Work = 4.5 V * 0.45 A * Time.

In the parallel configuration, the work done is given by: Work = 4.5 V * 1.8 A * Time.

Comparing the two expressions, we can see that the work done in the parallel configuration is four times greater than the work done in the series configuration. This is because the current in the parallel configuration is higher, resulting in more power being delivered to the circuit.

Therefore, in the parallel configuration, the work done will be greater, and it will be four times greater than the work done in the series configuration.

Please note that the above calculations assume ideal conditions and do not take into account factors such as internal resistance or losses in the circuit.