Question

четыре резистора соеденины параллельно их сопротивления равны 1ом 2ом 3ом 4ом.какова сила тока в каждом резисторе если в общей части цепи сила тока 50А.каково напряжение в каждом резисторе?

Answer 1

R1- 1 Ом

R2 - 2 Ом

R3 - 3 Ом

R4 - 4 Ом

 

общее напряжение 1/R =  1/1+1/2+1/3+1/4;  1/R= 12+6+4+3/12;  R=12/25 Om

общей части цепи сила тока 50А. => общее напряжение U= I*R = 50*12/25=24 B

I=U/R1=24 А

I=U/R2=12 A

I=U/R3=8 A

I=U/R4=6 A

 

Напряжение на всем участке цепи одинаково для параллельного соединения.

Answer 2

Calculation of Current and Voltage in Each Resistor

To calculate the current and voltage in each resistor, we need to apply the principles of parallel circuits. In a parallel circuit, the voltage across each resistor is the same, while the current is divided among the resistors based on their individual resistance values.

Given that the resistors are connected in parallel and their resistances are 1Ω, 2Ω, 3Ω, and 4Ω, and the total current in the circuit is 50A, we can calculate the current and voltage in each resistor as follows:

1. Calculate the total resistance of the parallel circuit (Rp): - The formula for calculating the total resistance of resistors connected in parallel is: 1/Rp = 1/R1 + 1/R2 + 1/R3 + 1/R4 - Substituting the given resistance values, we have: 1/Rp = 1/1Ω + 1/2Ω + 1/3Ω + 1/4Ω - Solving this equation will give us the value of Rp.

2. Calculate the current flowing through each resistor (I1, I2, I3, I4): - The current flowing through each resistor can be calculated using Ohm's Law: I = V/R - Since the voltage across each resistor is the same, we can use the total current (50A) and the individual resistances to calculate the current flowing through each resistor.

3. Calculate the voltage across each resistor (V1, V2, V3, V4): - The voltage across each resistor can be calculated using Ohm's Law: V = I * R - We can use the current flowing through each resistor (calculated in step 2) and the resistance values to calculate the voltage across each resistor.

Let's calculate the values step by step.

Calculation Steps:

1. Calculate the total resistance (Rp): - 1/Rp = 1/1Ω + 1/2Ω + 1/3Ω + 1/4Ω - Solve for Rp.

2. Calculate the current flowing through each resistor (I1, I2, I3, I4): - I1 = 50A * (1Ω / Rp) - I2 = 50A * (2Ω / Rp) - I3 = 50A * (3Ω / Rp) - I4 = 50A * (4Ω / Rp)

3. Calculate the voltage across each resistor (V1, V2, V3, V4): - V1 = I1 * 1Ω - V2 = I2 * 2Ω - V3 = I3 * 3Ω - V4 = I4 * 4Ω

Let's perform the calculations.

Calculation:

1. Calculate the total resistance (Rp): - 1/Rp = 1/1Ω + 1/2Ω + 1/3Ω + 1/4Ω - Rp = 1 / (1/1Ω + 1/2Ω + 1/3Ω + 1/4Ω) - Rp = 0.923Ω

2. Calculate the current flowing through each resistor (I1, I2, I3, I4): - I1 = 50A * (1Ω / 0.923Ω) - I2 = 50A * (2Ω / 0.923Ω) - I3 = 50A * (3Ω / 0.923Ω) - I4 = 50A * (4Ω / 0.923Ω)

3. Calculate the voltage across each resistor (V1, V2, V3, V4): - V1 = I1 * 1Ω - V2 = I2 * 2Ω - V3 = I3 * 3Ω - V4 = I4 * 4Ω

Now, let's calculate the values.

Calculation Results:

1. Total resistance (Rp): 0.923Ω 2. Current flowing through each resistor: - I1 = 54.16A - I2 = 108.33A - I3 = 162.5A - I4 = 216.66A 3. Voltage across each resistor: - V1 = 54.16V - V2 = 216.66V - V3 = 487.5V - V4 = 866.64V

Therefore, the current in each resistor is approximately: - Resistor 1: 54.16A - Resistor 2: 108.33A - Resistor 3: 162.5A - Resistor 4: 216.66A

And the voltage across each resistor is approximately: - Resistor 1: 54.16V - Resistor 2: 216.66V - Resistor 3: 487.5V - Resistor 4: 866.64V

Please note that these calculations assume ideal conditions and do not take into account factors such as internal resistance of the power source or temperature effects on the resistors.