An example of building high-quality vector diagrams

Lecture

Task 3
Build a qualitative vector diagram.
The construction is carried out using the properties of the elements. The current vector is first constructed, then the voltage vector.
An example of building high-quality vector diagrams

Task 4
Build a qualitative vector diagram.
The construction is carried out using the properties of the elements.

Task 5
Construct a qualitative vector diagram for the circuit, provided that XL> XC.
The construction is carried out using the properties of the elements.
An example of building high-quality vector diagrams

Task

In the series circuit, determine the readings of the instruments, compile and calculate the power balance, determine the power factor, build a topographic vector diagram.

R1 = 10 ohm
R2 = 20 ohm
C = 31.8 microfarad
L = 0.127 GN
f = 50 Hz
An example of building high-quality vector diagrams

Decision:

one). Determine the total complex resistance of reactive elements

2). We translate the source voltage into algebraic form

3). Determine the equivalent circuit resistance

The circuit has an active-capacitive character.

four). Determine the current in the circuit

An example of building high-quality vector diagrams

five). Ammeter will show the current value of current

6). Determine the reading of the voltmeter, the effective value of the voltage on the capacitor

7). Determine the power source and receivers

Receiver power

From the calculations it is clear that the balance converges with an error of less than a percent.

An example of building high-quality vector diagrams

eight). Determine the power factor

9) construction of a topographic vector diagram
Determine the voltage on the circuit elements

The choice of the scale of the current 2 cm - 1 A; on voltage 2cm - 50 V
The rule of construction of the vector diagram, with the sequential inclusion of elements:
build a current vector
build stress vector
we add the stress vector according to the parallelogram rule.

An example of building high-quality vector diagrams

parallel connection example

Determine the currents in the branches.

Given:

An example of building high-quality vector diagrams

R1 = 10 ohm
R2 = 10 ohm
f = 50 Hz

Decision:

3 branches, 2 knots.
Currents are determined by Ohm’s law. We write the full resistance of the branches:

The total current is determined by the first Kirchhoff law

Vector diagram

An example of building high-quality vector diagrams

Task

E = Uo + Um • sin (ωt + 45), Uo = 45 B, U = 39 B,

R1 = R2 = 50 Ohm, L = 0.127 GN, C = 3.18 μF

Determine Uc, I2

Decision

on a constant component

Е1 = Uo = 45 B I2 = Uo / R1 = 0.9 A I3 = 0

On the variable component XL = 40, Ohm Xc = 1000 Ohm

An example of building high-quality vector diagrams