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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   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.
  An example of building high-quality vector diagrams   An example of building high-quality vector diagrams

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   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
  An example of building high-quality vector diagrams

Decision:

one). Determine the total complex resistance of reactive elements

  An example of building high-quality vector diagrams

2). We translate the source voltage into algebraic form

  An example of building high-quality vector diagrams

3). Determine the equivalent circuit resistance

  An example of building high-quality vector diagrams

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

  An example of building high-quality vector diagrams

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

  An example of building high-quality vector diagrams

7). Determine the power source and receivers

  An example of building high-quality vector diagrams

Receiver power

  An example of building high-quality vector diagrams

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

  An example of building high-quality vector diagrams

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

  An example of building high-quality vector diagrams

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
  An example of building high-quality vector diagrams

Decision:

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

  An example of building high-quality vector diagrams

The total current is determined by the first Kirchhoff law

  An example of building high-quality vector diagrams

Vector diagram

  An example of building high-quality vector diagrams

Task

  An example of building high-quality vector diagrams

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

  An example of building high-quality vector diagrams

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

  An example of building high-quality vector diagrams

  An example of building high-quality vector diagrams

  An example of building high-quality vector diagrams
  An example of building high-quality vector diagrams

created: 2014-09-27
updated: 2021-03-13
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Electrical Engineering, Circuit design

Terms: Electrical Engineering, Circuit design