Question

В сеть переменного тока с действующим напряжением 120 В включено активное сопротивление 30 Ом. Определить действующее и амплитудное значения тока. Напишите пожалуйста дано.

Answer 1

Дано: Uд=120 В  Ra=30 Ом  Iд-?  Im-?
Iд=Uд/Ra=120/30=4 A
Im=Iд*sqrt(2)=4*1,41=5,64 A

Answer 2

Given Information

- Voltage (V): 120 V - Resistance (R): 30 Ω

Calculating Current Values

To determine the effective (rms) and amplitude values of the current in the circuit, we can use the following formulas:

1. Effective (rms) Current (I_eff): - The effective current in an AC circuit can be calculated using the formula: \[ I_{eff} = \frac{V_{rms}}{R} \] - Where \( V_{rms} \) is the root mean square voltage and \( R \) is the resistance.

2. Amplitude Current (I₀): - The amplitude current can be calculated using the formula: \[ I_0 = \sqrt{2} \times I_{eff} \]

Calculation

1. Effective (rms) Current (I_eff): - Using the given voltage and resistance: \[ I_{eff} = \frac{V_{rms}}{R} = \frac{120}{30} = 4 \, A \]

2. Amplitude Current (I₀): - Using the effective current: \[ I_0 = \sqrt{2} \times I_{eff} = \sqrt{2} \times 4 \approx 5.66 \, A \]

Answer

- Effective (rms) Current (I_eff): 4 A - Amplitude Current (I₀): Approximately 5.66 A