Question

Вариант № 2 Дано: U2 = 12 В R1=2 Ом; R2 = 15 Ом R3 = 10 Ом; R4 = 6 Ом R5=8 Ом 1) Найти: Р4; R; U; U1; U5; I; I1; I2;I3. 2) Как изменятся указанные величины, если R3Возрастет.

Answer 1

Given Circuit Parameters:

- U2 = 12 V - R1 = 2 Ω - R2 = 15 Ω - R3 = 10 Ω - R4 = 6 Ω - R5 = 8 Ω

Calculating the Values:

1. To find the values of the requested variables, we can use Ohm's Law and the formulas for series and parallel resistors.

- Resistance (R): - The total resistance in a series circuit is the sum of the individual resistances. Therefore, R = R1 + R2 + R3 + R4 + R5 = 2 Ω + 15 Ω + 10 Ω + 6 Ω + 8 Ω = 41 Ω. - Voltage (U): - The total voltage in a series circuit is equal to the sum of the individual voltages. Therefore, U = U2 = 12 V.

- Voltage across R1 (U1): - Since R1 is in series with U2, the voltage across R1 is equal to U2. Therefore, U1 = U2 = 12 V.

- Voltage across R5 (U5): - Since R5 is in series with U2, the voltage across R5 is equal to U2. Therefore, U5 = U2 = 12 V.

- Current (I): - Using Ohm's Law, we can calculate the current flowing through the circuit. I = U / R = 12 V / 41 Ω ≈ 0.293 A.

- Current through R1 (I1): - Since R1 is in series with U2, the current through R1 is equal to the total current flowing through the circuit. Therefore, I1 = I ≈ 0.293 A.

- Current through R2 (I2): - Since R2 is in series with U2, the current through R2 is equal to the total current flowing through the circuit. Therefore, I2 = I ≈ 0.293 A.

- Current through R3 (I3): - Since R3 is in series with U2, the current through R3 is equal to the total current flowing through the circuit. Therefore, I3 = I ≈ 0.293 A.

- Resistance R4 (R4): - Given as 6 Ω.

2. If R3 increases: - If the resistance R3 increases, it will affect the total resistance (R) of the circuit. The new total resistance can be calculated by adding the increased value of R3 to the previous total resistance. - The new total resistance (R_new) = R + increased R3. - The values of other variables (U, U1, U5, I, I1, I2, I3) will remain the same as they are not directly affected by the change in R3.

Summary of Values: - R = 41 Ω - U = 12 V - U1 = 12 V - U5 = 12 V - I = 0.293 A - I1 = 0.293 A - I2 = 0.293 A - I3 = 0.293 A - R4 = 6 Ω

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