Question

9. Потребители, сопротивление которых 30 Ом и 75 Ом, соединены по- следовательно. С какой мощностью работает первый потребитель, если второй работает с мощностью 25 Bт? С решением

Answer 1

Ответ:

10 Вт

Объяснение:

R1=30 Ом     R2=75 Ом    P2=25 Вт     P1=?

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P1=I²*R1

P2=I²*R2

P1=P2*R1/R2=25*30/75=10 Вт

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Answer 2

Calculating Power for the First Consumer

To calculate the power at which the first consumer is operating, we can use the formula:

P = V^2 / R

Where: - P = power - V = voltage - R = resistance

Given resistances of 30 Ohms and 75 Ohms for the first and second consumers respectively, and the power of the second consumer as 25 Watts, we can calculate the power for the first consumer.

Calculation

Using the formula P = V^2 / R, and assuming the voltage is the same for both consumers, we can calculate the power for the first consumer.

For the second consumer, we have: - Resistance (R2) = 75 Ohms - Power (P2) = 25 Watts

We can rearrange the formula to solve for voltage (V): - V = sqrt(P * R)

Now, using the power and resistance values for the second consumer, we can calculate the voltage (V2): - V2 = sqrt(25 * 75) - V2 ≈ 54.77 Volts

Now that we have the voltage for the second consumer, we can calculate the power for the first consumer using its resistance (R1) of 30 Ohms: - P1 = V2^2 / R1 - P1 = 54.77^2 / 30 - P1 ≈ 100 Watts

Conclusion

Therefore, the first consumer operates at a power of approximately 100 Watts.