Question

Йдите сопротивление участка цепи, которая содержит пять проводников сопротивлением 15 кОм каждый, если проводники соединены: параллельно; последовательно. Какова сила тока в каждом проводнике, если участок подано напряжение 300 В?

Answer 1

Если проводники соединены параллельно, то общее сопротивление в цепи равно 1/R=1/R1+1/R2.
15кОм=15000Ом
1/R=5/15000*5
1/R=5/75000
5R=75000
R=75000/5
R=15000Oм
Если проводники соединены последовательно, то от бее сопротивление в цепи равно R=R1+R2
R=15000*5=75000Ом
При последовательно соединении сила тока в цепи будет равна I=U/R=300В/75000Ом=0,004А
При параллельном соединении сила тока будет равна I=U/R=300В/15000Ом=0,02А

Answer 2

Calculating Current in Each Conductor

To calculate the current in each conductor, we can use the formulas for resistors in parallel and in series.

Given: - Number of conductors: 5 - Resistance of each conductor: 15 kΩ - Voltage applied: 300 V

Resistors Connected in Parallel

When resistors are connected in parallel, the total resistance is given by the formula: 1/R_total = 1/R1 + 1/R2 + 1/R3 + ... Where R_total is the total resistance and R1, R2, R3, ... are the individual resistances.

Using this formula, we can calculate the total resistance when the conductors are connected in parallel.

Calculation:

1/R_total = 1/15 + 1/15 + 1/15 + 1/15 + 1/15 1/R_total = 5/15 R_total = 15/5 R_total = 3 kΩ

Now that we have the total resistance, we can calculate the total current using Ohm's law: I = V/R Where I is the current, V is the voltage, and R is the resistance.

Calculation:

I = 300 V / 3 kΩ I = 0.1 A

So, the total current when the conductors are connected in parallel is 0.1 A.

Resistors Connected in Series

When resistors are connected in series, the total resistance is the sum of the individual resistances.

Using this information, we can calculate the current in each conductor when the conductors are connected in series.

Calculation:

For resistors in series, the current through each resistor is the same and is given by: I = V/R Where I is the current, V is the voltage, and R is the resistance.

Current in Each Conductor:

I = 300 V / 15 kΩ I = 0.02 A

So, when the conductors are connected in series, the current in each conductor is 0.02 A.

In summary, when the conductors are connected in parallel, the current in each conductor is 0.1 A, and when the conductors are connected in series, the current in each conductor is 0.02 A.