Construct series and parallel circuits


Assignment Title: Electrical Circuits and their Applications

Course Outcomes:

1) Understand electrical symbols, units, definitions, relationships and properties of circuit components for use in the construction of circuits.

2) Construct series and parallel circuits for use in standard electrical applications and measure electrical values.

Case Scenario: You are a trainee technician working for a company that specialises In producing specialist medical equipment such as electrocardiography, electromyography and electroencephalography machines. As part of your induction, you have been asked to produce a report that demonstrates your knowledge of electrical concepts and shows that you are able to assemble various electrical circuits.

Assignment Task: Using your notes and research, produce an 'Electrical Circuits Information Report' containing the following Parts:

Part 1- Electrical symbols, units and definitions

State the symbols for the following cell components in a table:

a) Cell

b) Battery

c) Switch

d) Filament lamp

e) Fixed resistor

f) Thermistor

g) Light emitting diode (LED)

h) Light-dependent resistor (LDR)

i) Rheostat

j) Capacitor

k) Voltmeter

l) Ammeter

Produce a 'Glossary of Terms' that defines and gives a brief explanation of each of the following:

  • current (ampere)
  • potential difference (volt)
  • electrical charge (coulomb) resistance (ohm)
  • conductance (siemen)
  • electrical power (watt)
  • capacitance (farad and sub-units)
  • current In terms of rate of flow of mobile charge carriers
  • electromotive force (EMF) as a measure of ratio of energy supplied per unit of charge
  • conductance and resistance In relation to density of mobile charge carriers.

Ensure the glossary includes the symbols for units where applicable.

Part 2 - Electrical formulae and relationships

Draw diagrams of theoretical circuits and use the following electrical formulae to accurately calculate a range of electrical quantities. As part of your working, explain the following equations and how you have applied them:

Energy supplied: W = VIt

Kirchoff's first and second rules

Ohm's Law: V = IR

Power: P = IV, P = I2R

Charge: Q = It

Conductance: G= I/R = I/V

Resistivity: R= pI/A(Ωm)

Charge stored by a capacitor Q = CV

Calculations of capacitance: In parallel circuits CT = C1 + C2 and in series circuits 1/CT = 1/C1 = 1/C2.

Part 3 - Electrical properties and uses of materials

Choose suitable examples of materials and their uses in order to provide an illustrated explanation of the properties of the following: conductivity, resistivity, insulators and conductors, ohmic and non-ohmic conductors, capacitors acting as filters in AC circuits and semi-conductors.

You will now test a variety of circuit components to show that the medical equipment will work properly.

Part 4 - Experiment 1: Ohmic and non-ohmic behaviour

Accurately construct a circuit with the following resistors (in turn) connected in series with a switch and power source: Constantan wire, a commercial resistor and a filament light bulb. Connect an ammeter and voltmeter and record the voltage and current over a range of values for voltage. Use a table to present your readings.

Plot graphs of voltage against current and interpret the graph to evaluate which resistors obey Ohm's Law and which do not. Apply Ohm's Law to predict the current for the commercial resistor at known voltages and compare the predicted values to your measured values. Make comments about the accuracy of your practical readings and any suggested improvements you would make to your practical.

Part 5 - Experiment 2 Resistance in series and parallel circuits

Use three resistors (100Ω, 200Ω and 300Ω) in series, parallel and combined circuits, by comparing measured values of voltage and resistance to your predicted values of voltage and resistance.

Accurately construct the circuits and take measurements, after your assessor has checked and confirmed your circuits are safe.

Measure the resistance of the individual resistors using an ohm setting on the multi-meter. Use these measurements to predict the theoretical value of the total resistance of the circuit.

For voltage outputs from the power pack of 1.0V- 6.0V in 1.0V steps, measure the current and record the results in a table.

Calculate the total resistance of the circuit at each voltage and compare it to predicted value of total resistance.

At a voltage output of 6.0V, measure potential difference across each resistor. Record any observations about the values you obtain.

Use your calculations and comparisons to evaluate the operation of your circuits. Include graphical representations for appropriate electrical relationships (e.g. resistance, power, charge) to support your evaluation.

Part 6 - Experiment 3 Capacitors in series and parallel circuits

Accurately construct simple circuits containing three capacitors and a power pack, firstly with the capacitors in series and then in parallel. Take measurements of capacitance, after your assessor has checked and confirmed your circuits are safe.

Make a valid comment as to whether your measurements support the theory that the total capacitance in a parallel circuit is the total of the individual capacitance of each capacitor added together,

Make a valid comment as to whether your measurements support the theory that the total capacitance in a series circuit is less than the capacitance of any individual capacitor in the circuit.

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Electrical Engineering: Construct series and parallel circuits
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