Question

Три резистори опором 5 ом, 2 ом, 6 ом з'єднані послідовно. знайти напругу на кожному резисторі, силу струму, якщо подано напругу 42 в, та опір у колі ДАЮ 70 БАЛЛОВ, ПЖ!​

Answer 1

Ответ:

Объяснение:

При последовательном соединении резисторов выполняются следующие условия:

1. Сила тока на всех резисторов одна и та же, т.е.: I = I1 = I2 = I3

2. Общее напряжение равно сумме напряжений на каждом резисторе, т.е.: U = U1 + U2 + U3

3. Общее сопротивление в цепи определяется по формуле: R = R1 + R2 + R3.

В данном случае общее сопротивление в цепи: R = 5 + 2 + 6 = 13 (Ом)

Силу току в цепи найдем из Закона Ома: I = U / R:

I = 42 / 13 = 3.231 (А)

Теперь найдём напряжение на каждом резисторе по формуле U = IR:

U1 = 3.231 * 5 = 16.153 (В)

U2 = 3.231 * 2 = 6.462 (В)

U3 = 3.231 * 6 = 19.386 (B)

Ответ: U1 = 16.153 B,    U2 = 6.462 B,    U3 = 19.386 B,     R = 13 Oм

Answer 2

Calculation of Voltage, Current, and Resistance in a Series Circuit

To find the voltage, current, and resistance in a series circuit, we can use Ohm's Law and the rules for series circuits.

In a series circuit, the total resistance (R_total) is equal to the sum of the individual resistances (R1, R2, R3, ...). The total current (I_total) flowing through the circuit is the same at all points in the circuit. The voltage (V) across each resistor is proportional to its resistance.

Given the following resistors in series: - Resistor 1: 5 Ω - Resistor 2: 2 Ω - Resistor 3: 6 Ω

We are also given the applied voltage (V_total) of 42 V.

To find the voltage across each resistor, we can use the formula: V = I * R

To find the total resistance, we can use the formula: R_total = R1 + R2 + R3 + ...

To find the total current, we can use the formula: I_total = V_total / R_total

Let's calculate the voltage, current, and resistance in this series circuit.

Calculation:

1. Total Resistance (R_total): R_total = R1 + R2 + R3 R_total = 5 Ω + 2 Ω + 6 Ω R_total = 13 Ω

2. Total Current (I_total): I_total = V_total / R_total I_total = 42 V / 13 Ω I_total ≈ 3.23 A

3. Voltage across each resistor: - Voltage across Resistor 1 (V1): V1 = I_total * R1 V1 = 3.23 A * 5 Ω V1 ≈ 16.15 V

- Voltage across Resistor 2 (V2): V2 = I_total * R2 V2 = 3.23 A * 2 Ω V2 ≈ 6.46 V

- Voltage across Resistor 3 (V3): V3 = I_total * R3 V3 = 3.23 A * 6 Ω V3 ≈ 19.38 V

4. Summary of Results: - Voltage across Resistor 1: 16.15 V - Voltage across Resistor 2: 6.46 V - Voltage across Resistor 3: 19.38 V - Total Current: 3.23 A - Total Resistance: 13 Ω

Please note that the above calculations assume an ideal circuit with no additional factors such as internal resistance of the power source or temperature effects on the resistors.