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EE410 Quiz 9/8/2014

EE410 Quiz 9/8/2014. A lumped element circuit has: Z = 4 - 3 j ohms Provide the following, using the proper symbols and units (as above): 1. Resistance 2. Admittance (rectangular form)  3. Reactance  4. Susceptance  5. Conductance  6. Impedance (rectangular form)

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EE410 Quiz 9/8/2014

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  1. EE410 Quiz9/8/2014 A lumped element circuit has: Z = 4 - 3j ohms Provide the following, using the proper symbols and units (as above): 1. Resistance 2. Admittance (rectangular form)  3. Reactance  4. Susceptance  5. Conductance  6. Impedance (rectangular form) 7. Magnitude of Impedance 8. Phase of Admittance 9. Phase of Impedance 10. Magnitude of Admittance

  2. Impedance/Admittance Review Impedance: Z = R + jX Pure Resistance Pure Reactance Admittance: Y = G + jB Pure Conductance Pure Susceptance Y=1/Z does NOT imply B = -1/X , or G = 1/R (unless one or the other is zero). X > 0 , “Inductive” wL X < 0 , “Capacitive” -1/wC B > 0 , “Capacitive” wC B < 0 , “Inductive” -1/wL

  3. Resonance Series Resonance: Parallel Resonance:

  4. For Parallel Resonance |Y| is minimum (real, = G) at resonance, w = w0 |Y| increases by 3 dB (Q = +p/4) when : Similar for Series Resonance

  5. Energy Loss When vc(t) = Vmax , Il(t) = 0 Stored energy = CVmax2/2 Power loss in resistor = Vmax2/2R Energy loss per cycle = (2p/w0)(Vmax2/2R)

  6. Reactive Components with Parasitic Losses (“unloaded” Q) If Z = 1/Y then Series model: Qu = |XC/Rs| = 1/wCs Rs Parallel model: Qu = BC/Gp = wCpRp

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