Question

Дано: R1=6Ом R2=4Ом R3=2Ом R4=1Ом I1=1А Найти I2-? I3-? I4-? U1-? U2-? U3-? U4-? Ubd-?

Answer 1

Если последовательно, то ток в цепи везде один:

I1 = I2 = I3 = I4 = 1A

U = I*R отсюда:U1 = 6B, U2 = 4B, U3 = 2B, U4 = 1B

Ubd - ? Напряжение на концах линии из резисторов?

Если да тоUbd = U1 + U2 + U3 + U4 = 13B

Answer 2

Calculation of Currents and Voltages in the Given Circuit

To find the values of currents and voltages in the given circuit, we can use Ohm's Law and Kirchhoff's Laws. Let's calculate each value step by step.

Given: - R1 = 6Ω - R2 = 4Ω - R3 = 2Ω - R4 = 1Ω - I1 = 1A

We need to find: - I2 - I3 - I4 - U1 - U2 - U3 - U4 - Ubd

Calculation Steps:

1. Calculation of I2: To find I2, we can use Ohm's Law (V = I * R) and Kirchhoff's Current Law (the sum of currents entering a junction is equal to the sum of currents leaving the junction).

Applying Kirchhoff's Current Law at the junction between R1, R2, and R3, we have: I1 = I2 + I3

Substituting the given value of I1 and rearranging the equation, we get: I2 = I1 - I3

2. Calculation of I3: To find I3, we can use Ohm's Law (V = I * R) and Kirchhoff's Voltage Law (the sum of voltages around any closed loop in a circuit is equal to zero).

Applying Kirchhoff's Voltage Law in the loop containing R2, R3, and R4, we have: U2 - U3 - U4 = 0

Substituting the values of U2, U3, and U4 using Ohm's Law (U = I * R), we get: I2 * R2 - I3 * R3 - I4 * R4 = 0

Rearranging the equation, we can solve for I3: I3 = (I2 * R2 - I4 * R4) / R3

3. Calculation of I4: To find I4, we can use Ohm's Law (V = I * R) and Kirchhoff's Voltage Law (the sum of voltages around any closed loop in a circuit is equal to zero).

Applying Kirchhoff's Voltage Law in the loop containing R3 and R4, we have: U3 - U4 = 0

Substituting the values of U3 and U4 using Ohm's Law (U = I * R), we get: I3 * R3 - I4 * R4 = 0

Rearranging the equation, we can solve for I4: I4 = I3 * R3 / R4

4. Calculation of U1: To find U1, we can use Ohm's Law (V = I * R).

Substituting the given value of I1 and the value of R1, we get: U1 = I1 * R1

5. Calculation of U2: To find U2, we can use Ohm's Law (V = I * R).

Substituting the value of I2 and the value of R2, we get: U2 = I2 * R2

6. Calculation of U3: To find U3, we can use Ohm's Law (V = I * R).

Substituting the value of I3 and the value of R3, we get: U3 = I3 * R3

7. Calculation of U4: To find U4, we can use Ohm's Law (V = I * R).

Substituting the value of I4 and the value of R4, we get: U4 = I4 * R4

8. Calculation of Ubd: To find Ubd, we need to calculate the voltage drop across R4.

Since Ubd is the voltage drop across R4, we can directly calculate it using Ohm's Law (V = I * R).

Substituting the value of I4 and the value of R4, we get: Ubd = I4 * R4

Calculation Results:

Using the above calculations, we can find the following values:

- I2 = I1 - I3 - I3 = (I2 * R2 - I4 * R4) / R3 - I4 = I3 * R3 / R4 - U1 = I1 * R1 - U2 = I2 * R2 - U3 = I3 * R3 - U4 = I4 * R4 - Ubd = I4 * R4

Now, let's substitute the given values into the above equations to find the values of I2, I3, I4, U1, U2, U3, U4, and Ubd.