// Numbas version: finer_feedback_settings {"name": "USSJRN-45-1 - Electronics Progress Assessment (1)", "metadata": {"description": "

FoES Electronics Written Assessment

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EM Fields, Batteries & Resistor Properties

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Part a.  Electric & Magnetic Fields

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i. The diagram below shows two equal and opposite charged particles with the field lines between them.

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Indicate on the diagram the direction the Electric Field.

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ii. The diagram shows two charged plates and a near uniform field between them. An electrically negative charged particle travels between the two plates. 

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Plot the expected trajectory of the charged particle.

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iii.  The diagram shows an electrically negative charged particle entering a uniform magnetic field.

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Using Fleming's left hand rule, plot the expected trajectory of the charged particle.

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[4 Marks]

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Part b. Voltage Divider

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A voltage divider uses a thermistor (temperature coefficient α = {q001b_Therm_Co} /°C) to measure a range of temperatures. 

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VS = {q001b_Vs}V, R1 = {q001b_R1}MΩ, R0 = {q001b_R_0}MΩ

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SPICE circuit suitable for analysis: FoESQ001b.v2 (1)

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[6 Marks]

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Part c. Internal Resistance

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The diagram shows the arrangement for testing the internal resistance of a battery.

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V1 = {q001cV1}V, R1= {q001cR1}Ω

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V= {q001cV1}V, R2= {q001cR2}Ω

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V3 = {q001cV3}V, R3= {q001cR1}Ω

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V4 = { q001cV1}V, R4= { q001cR1}Ω

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RL= {q001cRL}Ω

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For the values given, analyse the battery network supplying a load (RL) with the internal resistances shown. Ensure that you:

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SPICE circuit suitable for analysis: FoES Q001c

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[10 Marks]

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"}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "EL Q002 Capacitors, Inductors & Step Response", "extensions": [], "custom_part_types": [], "resources": [["question-resources/SbE_CC1_Q4b.png", "/srv/numbas/media/question-resources/SbE_CC1_Q4b.png"], ["question-resources/EL_Q002c_-_Capacitor_Charge-Discharge.png", "/srv/numbas/media/question-resources/EL_Q002c_-_Capacitor_Charge-Discharge.png"], ["question-resources/EL_Q002a.v2_-_RC_Circuit.png", "/srv/numbas/media/question-resources/EL_Q002a.v2_-_RC_Circuit.png"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Robert Bauld", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/19446/"}], "tags": [], "metadata": {"description": "

Question covering Capacitors, Inductors & Step Response

", "licence": "All rights reserved"}, "statement": "

Capacitors, Inductors & Step Response

", "advice": "

See Spreadsheet

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Solenoid Inductace (L1)

", "templateType": "randrange", "can_override": true}, "Q002b_R1": {"name": "Q002b_R1", "group": "EL Q002b", "definition": "random(1 .. 2#0.2)", "description": "

Solenoid Resistance (Ω)

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The length (l ) of the solenoid in mm

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the gap (g) between the solenoid and the armature in mm 

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Force (F) generated by the solenoid in N

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Part a. Capacitor Properties

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The diagram shows a capacitor and resistor in a Series DC circuit. 

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[4 Marks]

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Part b) Solenoid Calculation

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The figure shows a solenoid electromagnet circuit compromising the inductance of the coil and the series resistance.  It is being energised by a battery.  The switch has been closed for {100*Q002b_L1*Q002b_R1}s. 

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\"Solenoid

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The measured Inductance (L) of the solenoid is {siground(dec(Q002b_L1*1000),4)}mH and the Resistance is {Q002b_R1}Ω.  The length (l ) of the solenoid is {Q002b_Solenoid_length}mm and the gap (g) between the solenoid and the armature is {Q002b_Armature_Gap}mm.

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SPICE circuit suitable for analysis: FoES El Q002b

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[6Marks]

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Part c. Step Response

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The circuit shows a Resistor and Capacitor Network as well as the charge/discharge plots of the Capacitor when the switch is closed and opened.

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VS = {5} V, VB = {2.5} V tON ={50} ms, tOFF ={200} ms C1 ={10} μF , R1 = {10} kΩ, R2 = {2} kΩ

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Explain what is happening in the circuit.  What is the relationship between the voltage across and current through the Capacitor.

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SPICE circuit suitable for analysis: FoES Q002c

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[10 Marks]

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Question Covering AC power and frquency response

", "licence": "All rights reserved"}, "statement": "

Power & Frequency Response

", "advice": "

see spread sheet

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Frequency (fs)

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VP-P

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DC Offset

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Load Resistor RL

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Frequency (fs)

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VP-P

", "templateType": "randrange", "can_override": false}, "Q3aii_R_L": {"name": "Q3aii_R_L", "group": "Q3a", "definition": "random(2000 .. 2000#1)", "description": "

RL

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Modifier of t_rise

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DC Offset

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Load Resistance (kΩ)

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Smoothing Capacitor (uF)

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Supply Voltage (VS)

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Zener Diode Reverse Breakdown Voltage (V)

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Capacitance C1

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Inductance

", "templateType": "randrange", "can_override": false}, "Q3d_R_L": {"name": "Q3d_R_L", "group": "Q4d", "definition": "random(1 .. 5#4)", "description": "", "templateType": "randrange", "can_override": false}, "Q3d_V_S": {"name": "Q3d_V_S", "group": "Q4d", "definition": "random(1 .. 10#9)", "description": "", "templateType": "randrange", "can_override": false}, "Q3ai_DutyCycle": {"name": "Q3ai_DutyCycle", "group": "Q3a", "definition": "random(0.2 .. 0.6#0.1)", "description": "", "templateType": "randrange", "can_override": false}, "Q3b_R5": {"name": "Q3b_R5", "group": "Q3b", "definition": "Q3b_R1", "description": "", "templateType": "anything", "can_override": false}, "Q003b_L": {"name": "Q003b_L", "group": "Q3b", "definition": "random(0.1 .. 0.2#30)", "description": "", "templateType": "randrange", "can_override": false}, "Q003b_C": {"name": "Q003b_C", "group": "Q3b", "definition": "random(40 .. 75#15)", "description": "", "templateType": "randrange", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [{"name": "Q3b", "variables": ["Q3b_VS", "Q3b_R1", "Q3b_R2", "Q3b_R3", "Q3b_R4", "Q3b_R5", "Q003b_L", "Q003b_C"]}, {"name": "Q3a", "variables": ["Q3ai_f_S", "Q3ai_R_L", "Q3ai_V_DC", "Q3ai_V_PP", "Q3ai_DutyCycle", "q3aii_f_s", "Q3aii_R_L", "Q3aii_t_rise", "Q3aii_t_rise_modifier", "Q3aii_V_DC", "q3aii_v_pp"]}, {"name": "Q3d", "variables": ["Q3c_R_L", "Q3c_C1", "Q3c_V_S", "Q3c_Z_BDV"]}, {"name": "Q4d", "variables": ["Q3d_C1", "Q3d_V_S", "Q3d_L1", "Q3d_R_L"]}], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "information", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "

Part a) Signal Waveforms

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Draw or derive the voltage and current wave forms for the following:

\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
Waveform\n

Varibles

\n
\n

Circuit

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i. Pulsed DC \n

RL: {Q3ai_R_L} Ω

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Frequency (fs): {Q3ai_F_S} Hz

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VP-P: {Q3ai_V_PP} V

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DC Offset (VDC): {Q3ai_V_DC} V

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Duty Cycle: {Q3ai_DutyCycle*100}%

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\n

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\"Simple

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ii. Triangular\n

RL: {Q3aii_R_L/1000} kΩ

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Frequency (fs): {Q3aii_F_S} Hz

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VP-P: {Q3aii_V_PP} V

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DC Offset (VDC): {Q3aii_V_DC} V

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tRise: {Q3aii_t_rise*1000} ms

\n
\n

\"Simple

\n
\n

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SPICE Circuit suitable for analysis: FoES Q003a

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\n

[4 Marks]

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Part b) Power Calculation

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The figure shows a resistor, Inductor and Capacitor Network connected to a Sinusoidal Waveform:

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Circuit Varibles: 

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VS(peak) = {Q3b_VS}V, f = {100}Hz

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R1 & R5 = {Q3b_R1}kΩ,

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R2, R3 & R4= {Q3b_R2}kΩ,

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L1, L2 & L3 = {Q003b_L}mH

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C1, C2 & C3 = {Q003b_C}μF

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For the values given, calculate or determine the RMS power dissipated in the whole circuit and resistor R­3

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SPICE Circuit Suitable for Analysis: FoES El Q003b

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[6 Marks]

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Part c) Frequency Response

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The circuit shown has a Capacitor, Inductor and Resistor in series which has been designed to be in resonance at a known frequency.  The signal is measured across the load (RL).

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Circuit Varibles: VS = {Q3d_V_S}V(RMS) , RL = {Q3d_R_L} kΩ C1 = {Q3d_C1}μF L1 = {Q3d_L1} mH

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Using calculation or simulation, evaluate the performance of the circuit in a frequency range from 1Hz to 10kHz.  Ensure that you:

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SPICE Circuit Suitable for Analysis: FoES EL Q003c

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Electronics Written Assessment Instructions

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Ver 1.1

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