CA_ADV
Advanced - Advanced theory and components
Advanced theory and components follows the A-001 section of the Canadian question bank.
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6
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Review by section order to build the topic framework first.
For regulatory and safety questions, prefer compliant and conservative actions.
For calculations, check units, multipliers, and approximations.
Topic Study Guide
This topic covers advanced circuit theory and component characteristics for the Canadian Advanced Amateur Radio exam, focusing on time constants, skin effect, electromagnetic fields, and resonant frequency calculations for RLC circuits.
High-Yield Checks
- Time constants: RL circuit current builds to 63.2% of maximum in one time constant; RC circuit voltage discharges to 36.8% in one, and 13.5% in two time constants.
- Skin effect: As frequency increases, RF current flows in a thinner layer closer to the surface of the conductor.
- Resonant frequency calculations: Master the formula f = 1 / (2π√(LC)). Note that the resistance value (R) provided in questions is a distractor and is not used in the calculation.
- Back EMF and Energy: Back EMF is a voltage opposing the applied EMF. Energy stored in fields is potential energy, and the unit for inductance is the henry.
Trap Patterns
- Confusing charging and discharging percentages for time constants, or mixing up voltage and current behaviors in RL and RC circuits.
- Erroneously including the resistor value (R) when calculating the resonant frequency of an RLC circuit.
- Mismanaging scientific notation (micro, pico, mega) during LC calculations, leading to answers off by orders of magnitude (e.g., selecting kHz instead of MHz).
Review Steps
- Memorize the key percentages for one and two time constants (63.2%, 36.8%, 13.5%) and know whether they apply to charging or discharging phases.
- Review the conceptual definitions of skin effect, back EMF, and electromagnetic fields to quickly and accurately answer theoretical questions.
- Practice using a scientific calculator to compute resonant frequencies, ensuring you can comfortably handle scientific notation for microhenrys and picofarads.
- Practice rearranging the resonant frequency formula algebraically to solve for inductance (L) when the frequency and capacitance are given.
Quick Checks
- What percentage of the starting voltage remains in a discharging RC circuit after two time constants?
- Does the resistance value affect the calculated resonant frequency in standard series or parallel RLC circuit questions?
- What happens to the flow of RF current in a conductor as the frequency increases?
- What is the standard unit for the property of an inductor that determines its stored energy?
Questions in This Topic
Choose Practice ModeA-001-001-001What is the meaning of the term "time constant" in an RL circuit ?A-001-001-002What is the term for the time required for the capacitor in an RC circuit to be charged to 63.2% of the supply voltage?A-001-001-003What is the term for the time required for the current in an RL circuit to build up to 63.2% of the maximum value?A-001-001-004What is the term for the time it takes for a charged capacitor in an RC circuit to discharge to 36.8% of its initial value of stored charge?A-001-001-005What is meant by "back EMF"?A-001-001-006After two time constants, the capacitor in an RC circuit is charged to what percentage of the supply voltage?A-001-001-007After two time constants, the capacitor in an RC circuit is discharged to what percentage of the starting voltage?A-001-001-008What is the time constant of a circuit having a 100 microfarad capacitor in series with a 470 kilohm resistor?A-001-001-009What is the time constant of a circuit having a 470 microfarad capacitor in series with a 470 kilohm resistor?A-001-001-010What is the time constant of a circuit having a 220 microfarad capacitor in series with a 470 kilohm resistor?A-001-002-001What is the result of skin effect?A-001-002-002What effect causes most of an RF current to flow along the surface of a conductor?A-001-002-003Where does almost all RF current flow in a conductor?A-001-002-004Why does most of an RF current flow within a very thin layer under the conductor's surface?A-001-002-005Why is the resistance of a conductor different for RF currents than for direct currents?A-001-002-006What unit measures the ability of a capacitor to store electrical charge?A-001-002-007A wire has a current passing through it. Surrounding this wire there is:A-001-002-008In what direction is the magnetic field oriented about a conductor in relation to the direction of electron flow?A-001-002-009What is the term for energy that is stored in an electromagnetic or electrostatic field?A-001-002-010Between the charged plates of a capacitor there is:A-001-002-011Energy is stored within an inductor that is carrying a current. The amount of energy depends on this current, but it also depends on a property of the inductor. This property has the following unit:A-001-003-001What is the resonant frequency of a series RLC circuit if R is 47 ohms, L is 50 microhenrys and C is 40 picofarads?A-001-003-002What is the resonant frequency of a series RLC circuit, if R is 47 ohms, L is 40 microhenrys and C is 200 picofarads?A-001-003-003What is the resonant frequency of a series RLC circuit, if R is 47 ohms, L is 50 microhenrys and C is 10 picofarads?A-001-003-004What is the resonant frequency of a series RLC circuit, if R is 47 ohms, L is 25 microhenrys and C is 10 picofarads?A-001-003-005What is the resonant frequency of a series RLC circuit, if R is 47 ohms, L is 3 microhenrys and C is 40 picofarads?A-001-003-006What is the resonant frequency of a series RLC circuit, if R is 47 ohms, L is 4 microhenrys and C is 20 picofarads?A-001-003-007What is the resonant frequency of a series RLC circuit, if R is 47 ohms, L is 8 microhenrys and C is 7 picofarads?A-001-003-008What is the resonant frequency of a series RLC circuit, if R is 47 ohms, L is 3 microhenrys and C is 15 picofarads?A-001-003-009What is the resonant frequency of a series RLC circuit, if R is 47 ohms, L is 4 microhenrys and C is 8 picofarads?A-001-003-010What is the resonant frequency of a series RLC circuit, if R is 47 ohms, L is 1 microhenry and C is 9 picofarads?A-001-003-011What is the value of capacitance (C) in a series R-L-C circuit, if the circuit resonant frequency is 14.25 MHz and L is 2.84 microhenrys?A-001-004-001What is the resonant frequency of a parallel RLC circuit if R is 4.7 kilohms, L is 1 microhenry and C is 10 picofarads?A-001-004-002What is the resonant frequency of a parallel RLC circuit if R is 4.7 kilohms, L is 2 microhenrys and C is 15 picofarads?A-001-004-003What is the resonant frequency of a parallel RLC circuit if R is 4.7 kilohms, L is 5 microhenrys and C is 9 picofarads?A-001-004-004What is the resonant frequency of a parallel RLC circuit if R is 4.7 kilohms, L is 2 microhenrys and C is 30 picofarads?A-001-004-005What is the resonant frequency of a parallel RLC circuit if R is 4.7 kilohms, L is 15 microhenrys and C is 5 picofarads?A-001-004-006What is the resonant frequency of a parallel RLC circuit if R is 4.7 kilohms, L is 3 microhenrys and C is 40 picofarads?A-001-004-007What is the resonant frequency of a parallel RLC circuit if R is 4.7 kilohms, L is 40 microhenrys and C is 6 picofarads?A-001-004-008What is the resonant frequency of a parallel RLC circuit if R is 4.7 kilohms, L is 10 microhenrys and C is 50 picofarads?A-001-004-009What is the resonant frequency of a parallel RLC circuit if R is 4.7 kilohms, L is 200 microhenrys and C is 10 picofarads?A-001-004-010What is the resonant frequency of a parallel RLC circuit if R is 4.7 kilohms, L is 90 microhenrys and C is 100 picofarads?A-001-004-011What is the value of inductance (L) in a parallel RLC circuit, if the resonant frequency is 14.25 MHz and C is 44 picofarads?A-001-005-001What is the Q of a parallel RLC circuit, if it is resonant at 14.128 MHz, L is 2.7 microhenrys and R is 18 kilohms?A-001-005-002What is the Q of a parallel RLC circuit, if it is resonant at 14.128 MHz, L is 4.7 microhenrys and R is 18 kilohms?A-001-005-003What is the Q of a parallel RLC circuit, if it is resonant at 4.468 MHz, L is 47 microhenrys and R is 180 ohms?A-001-005-004What is the Q of a parallel RLC circuit, if it is resonant at 14.225 MHz, L is 3.5 microhenrys and R is 10 kilohms?A-001-005-005What is the Q of a parallel RLC circuit, if it is resonant at 7.125 MHz, L is 8.2 microhenrys and R is 1 kilohm?A-001-005-006What is the Q of a parallel RLC circuit, if it is resonant at 7.125 MHz, L is 10.1 microhenrys and R is 100 ohms?A-001-005-007What is the Q of a parallel RLC circuit, if it is resonant at 7.125 MHz, L is 12.6 microhenrys and R is 22 kilohms?A-001-005-008What is the Q of a parallel RLC circuit, if it is resonant at 3.625 MHz, L is 3 microhenrys and R is 2.2 kilohms?A-001-005-009What is the Q of a parallel RLC circuit, if it is resonant at 3.625 MHz, L is 42 microhenrys and R is 220 ohms?A-001-005-010What is the Q of a parallel RLC circuit, if it is resonant at 3.625 MHz, L is 43 microhenrys and R is 1.8 kilohms?A-001-005-011Why is a resistor often included in a parallel resonant circuit ?