Question

В цепь переменного тока последовательно включили резистор активным сопротивлением 3 ом,конденсатор ёмкостным сопротивлением 1 ом и катушку индуктивным сопротивлением 5 ом. Каково полное сопротивление цепи переменному току?

Answer 1

Z=корень(R^2+(Rc-Rl)^2)=корень(3^2+4^2)=5 ом

Answer 2

Calculation of Total Impedance in an AC Circuit

To calculate the total impedance in an AC circuit, we need to consider the resistive, capacitive, and inductive components of the circuit. In this case, the circuit consists of a resistor with an active resistance of 3 ohms, a capacitor with a capacitive reactance of 1 ohm, and an inductor with an inductive reactance of 5 ohms.

The total impedance in an AC circuit is given by the formula:

Z = √(R^2 + (Xl - Xc)^2)

Where: - Z is the total impedance - R is the resistance - Xl is the inductive reactance - Xc is the capacitive reactance

Let's calculate the total impedance:

R = 3 ohms Xl = 5 ohms Xc = 1 ohm

Using the formula, we can substitute the values:

Z = √(3^2 + (5 - 1)^2) Z = √(9 + 16) Z = √25 Z = 5 ohms

Therefore, the total impedance in the AC circuit is 5 ohms.

Please note that the calculation assumes that the resistance, inductive reactance, and capacitive reactance are all in series in the circuit.