ExtraClassSylalbus2009jan-AD7FO

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Rev 2.02 E5A10 The half-power bandwidth of a parallel resonant circuit that has a resonant frequency of 1.8 MHz and a Q of 95 is 18.9 kHz. BW= Frequency / Q or 1,800 KHz/95 or 18.94 KHz E5A11 The half-power bandwidth of a parallel resonant circuit that has a resonant frequency of 7.1 MHz and a Q of 150 is 47.3 kHz. BW= Frequency / Q or 7,100 KHz/150 or 47.3 KHz E5A12 The half-power bandwidth of a parallel resonant circuit that has a resonant frequency of 3.7 MHz and a Q of 118 is 31.4 kHz. BW= Frequency / Q or 3,700 KHz/118 or 31.36 KHz E5A13 The half-power bandwidth of a parallel resonant circuit that has a resonant frequency of 14.25 MHz and a Q of 187 is 76.2 kHz. BW= Frequency / Q or 14,250 KHz/187 or 76.20 KHz E5A14 The resonant frequency of a series RLC circuit with R of 22 ohms, L of 50 microhenrys and C of 40 picofarads is 3.56 MHz. 1 1 FR = = = 3.56 MHz 6.28 x 50x10^-6 x 40 x10^-12 2 π L x C E5A15 The resonant frequency of a series RLC circuit with R of 56 ohms, L of 40 microhenrys and C of 200 picofarads is 1.78 MHz. 1 1 FR = = = 1.78 MHz 6.28 x 40x10^-6 x 200x10^-12 2 π L x C E5A16 The resonant frequency of a parallel RLC circuit with R of 33 ohms, L of 50 microhenrys and C of 10 picofarads is 7.12 MHz. 1 1 FR = = = 7.121 MHz 6.28 x 50x10^-6 x 10x10^-12 2 π L x C E5A17 The resonant frequency of a parallel RLC circuit with R of 47 ohms, L of 25 microhenrys and C of 10 picofarads is 10.1 MHz. 1 1 FR = = = 10.1 MHz 6.28 x 25x10^-6 x 10x10^-12 2 π L x C Jack Tiley <strong>AD7FO</strong> Page 38 3/15/2009
Rev 2.02 E5B Time constants and phase relationships: R/L/C time constants: definition; time constants in RL and RC circuits; phase angle between voltage and current; phase angles of series and parallel circuits When a voltage is applied to a capacitor through a resistance (all circuits have resistance) it takes time for the voltage across the capacitor to reach the applied voltage. At the instant the voltage is applied the current in the circuit is at a maximum limited only by the circuit resistance. As time passes the voltage across the capacitor rises and the current decreases until the capacitor reaches the applied voltage at which point the current goes to zero. The voltage across the capacitor will rise to 63.2 % of the applied voltage in one time constant. The time constant in seconds is calculated by multiplying the resistance in megohms by the capacitance in microfarads. TC= R(ohms) x C(farads) or in terms of more common values --TC= R (megohms) x C(microfarads) For example, 100 volts applied to 1µF capacitor with a series one megohm resistor will charge to 63.2 volts in one second. Remember that TC= R (megohms) x C(microfarads) or TC= 1x1 or 1 second and the charge after 1 time constant will be 63.2% of the applied 100 volts, or 63.2 volts E5B01 One time constant is the term for the time required for the capacitor in an RC circuit to be charged to 63.2% of the supply voltage. Time Constants Charge % of applied voltage Discharge % of starting voltage 1 63.2% 36.8% 2 86.5% 13.5 % 3 95.0% 5% 4 98.2% 1.8% 5 99.3% .7% E5B02 One time constant is the time it takes for a charged capacitor in an RC circuit to discharge to 36.8% of its initial value of stored charge. Conversely a time constant is the time it takes a discharged capacitor to reach 63.2% of the applied voltage. E5B03 The capacitor in an RC circuit is discharged to 13.5% percentage of the starting voltage after two time constants. %= (100-((100 x .632)) – (100 – (100 x.632) x .632)) or 100+(- 63.2 – 23.25) or 13.54% E5B04 The time constant of a circuit having two 220-microfarad capacitors and two 1-megohm resistors all in parallel is 220 seconds. TC (seconds) = R (megohms) x C (microfarads or TC =(1/2) x (220 x 2) or 0.5 x 440 or 220 seconds Remember that capacitors in parallel add and resistors of equal value in parallel are equal to one resistor divided by the number of resistors. Jack Tiley <strong>AD7FO</strong> Page 39 3/15/2009
Page 1 and 2: Rev 2.02 Preparing for the Extra cl
Page 3 and 4: Rev 2.02 Guide to using this syllab
Page 5 and 6: Rev 2.02 SUBELEMENT E4 -- AMATEUR R
Page 7 and 8: Rev 2.02 ELEMENT 4 - EXTRA CLASS QU
Page 9 and 10: Rev 2.02 E1A09 (Band Plan Chart) Th
Page 11 and 12: Rev 2.02 E1B13 (FCC Rules) Communic
Page 13 and 14: Rev 2.02 E1D08 (FCC Rules) The 2 me
Page 15 and 16: Rev 2.02 E1E20 (FCC Rules) You must
Page 17 and 18: Rev 2.02 SUBELEMENT E2 - OPERATING
Page 19 and 20: Rev 2.02 E2A13 Geosynchronous satel
Page 21 and 22: Rev 2.02 E2B17 Immunity from fading
Page 23 and 24: Rev 2.02 E2D02 The definition of
Page 25 and 26: Rev 2.02 SUBELEMENT E3 -- RADIO WAV
Page 27 and 28: Rev 2.02 E3C01 Auroral activity cau
Page 29 and 30: Rev 2.02 E4A06 A spectrum analyzer
Page 31 and 32: Rev 2.02 E4B09 High impedance input
Page 33 and 34: Rev 2.02 E4C06 If t he thermal nois
Page 35 and 36: Rev 2.02 E4D11 Third-order intermod
Page 37: Rev 2.02 SUBELEMENT E5 -- ELECTRICA
Page 41 and 42: Rev 2.02 Example 2: To find the ang
Page 43 and 44: Rev 2.02 j 50 -j 25 E5B12 The phase
Page 45 and 46: Rev 2.02 j 600 -j300 E5C04 In polar
Page 47 and 48: Rev 2.02 Parallel circuit solutions
Page 49 and 50: Rev 2.02 R=300 Ω XL= (2 π FL) or
Page 51 and 52: Rev 2.02 Power Factor represents th
Page 53 and 54: Rev 2.02 SUBELEMENT E6 -- CIRCUIT C
Page 55 and 56: Rev 2.02 Field-effect transistors e
Page 57 and 58: Rev 2.02 E6B12 Junction diodes are
Page 59 and 60: Rev 2.02 E6D02 Cathode ray tube (CR
Page 61 and 62: Rev 2.02 E6E04 The technique used t
Page 63 and 64: Rev 2.02 E6F07 Cadmium sulfide will
Page 65 and 66: Rev 2.02 E7A07 An AND gate produces
Page 67 and 68: Rev 2.02 When a Class C rather than
Page 69 and 70: Rev 2.02 E7C01 In a low-pass filter
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Page 73 and 74: Rev 2.02 E7E05 A pre-emphasis netwo
Page 75 and 76: Rev 2.02 E7F08 One purpose of a mar
Page 77 and 78: Rev 2.02 E7G17 The typical output i
Page 79 and 80: Rev 2.02 E7H19 A phase-locked loop
Page 81 and 82: Rev 2.02 E8A06 The approximate rati
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Page 85 and 86: Rev 2.02 E8D07 An electromagnetic w
Page 87 and 88: Rev 2.02 E9A10 Antenna bandwidth is
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Rev 2.02 E9B10 The “Method of Mom
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Rev 2.02 E9C09 The elevation angle
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Rev 2.02 E9D09 An advantage of usin
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Rev 2.02 E9E08 An SWR greater than
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Rev 2.02 E9F11 A 1/8-wavelength tra
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Rev 2.02 E9H05 The main drawback of
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Rev 2.02 SUBELEMENT E0 -- SAFETY [1
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Rev 2.02 Jack Tiley AD7FO Page 103
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Rev 2.02 Capacitors in series C= __
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Rev 2.02 Impedance of complex serie
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Rev 2.02 Calculating Component valu
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Rev 2.02 AC Voltage Calculations Th
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