Question

Чотири резистори по 11 Ом з'єднали послідовно. Визначити загальну напругу та напругу на першому резисторів, якщо сила струму на другому резисторі 0,02А.

Answer 1

R(заг) = R₁ + R₂ + R₃ + R₄

R(заг) = 11 Ом × 4 = 44 Ом

Послідовно ⇒ I = const ⇒ I₁ = I₂ = I₃ = I₄ = 0,02 А

U(заг) = I × R; U(заг) = 44 × 0,02 = 0,88 В

U₁ = U / 4 = 0,22 В

Відповідь: U(заг) = 0,88В; U₁ = 0,22 В

Answer 2

Calculation of Total Voltage and Voltage across the First Resistor

To calculate the total voltage and the voltage across the first resistor, we need to consider the concept of series connection in a circuit. In a series circuit, the same current flows through each component, but the voltage is divided among the components.

Given: - Four resistors connected in series. - Each resistor has a resistance of 11 Ω. - The current through the second resistor is 0.02 A.

To find the total voltage and the voltage across the first resistor, we can use Ohm's Law and the concept of series connection.

Ohm's Law

Ohm's Law states that the voltage across a resistor is equal to the current flowing through it multiplied by its resistance. Mathematically, it can be expressed as:

V = I * R

Where: - V is the voltage across the resistor, - I is the current flowing through the resistor, and - R is the resistance of the resistor.

Calculation Steps:

1. Calculate the total resistance (R_total) of the series circuit by summing up the resistances of the individual resistors. - R_total = R1 + R2 + R3 + R4

2. Calculate the total voltage (V_total) using Ohm's Law. - V_total = I * R_total

3. Calculate the voltage across the first resistor (V1) using Ohm's Law. - V1 = I * R1

Let's calculate the values using the given information:

Given: - Resistance of each resistor (R) = 11 Ω - Current through the second resistor (I) = 0.02 A

Calculation:

1. Calculate the total resistance (R_total): - R_total = R1 + R2 + R3 + R4 - R_total = 11 Ω + 11 Ω + 11 Ω + 11 Ω - R_total = 44 Ω

2. Calculate the total voltage (V_total): - V_total = I * R_total - V_total = 0.02 A * 44 Ω - V_total = 0.88 V

3. Calculate the voltage across the first resistor (V1): - V1 = I * R1 - V1 = 0.02 A * 11 Ω - V1 = 0.22 V

Answer:

The total voltage in the circuit is 0.88 V, and the voltage across the first resistor is 0.22 V.

Please let me know if you need any further assistance!