In the electrical circuit, the resistance of the resistors is equal to R1-20 Ohm R2-30 Ohm.

| May 20, 2021 | education

In the electrical circuit, the resistance of the resistors is equal to R1-20 Ohm R2-30 Ohm. What is the N1 / N2 power ratio of the resistors?

Consider the option of connecting resistors in series. Then the current flowing through the circuit I will be equal to:
I = U / (R1 + R2) = U / (20 + 30) = U / 50 = 0.02U.
The power allocated to the first resistor N1 will be equal to:
N1 = I² * R1 = 0.0004U² * R1.
Power dissipated on the second resistor:
N2 = I² * R2 = 0.0004U² * R2.
Find the ratio N1 / N2 = R1 / R2 = 20/30 = 2/3.
Now let’s consider the option of parallel connection of resistors:
N1 = U² * R1; N2 = U² * R2.
Find the ratio N1 / N2 = R1 / R2 = 20/30 = 2/3.
For all options, the ratio of the power dissipated across the resistors is equal to the ratio of the values of these resistors.



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