TELECOMMUNICATIONS

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TELECOMMUNICATIONS

• Dr. Hugh Blanton
• ENTC 4307/ENTC 5307

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Problem Set 1
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Problem 1

1. A discrete capacitor with 10 nH self inductance
   has a measured capacitance of 10.0 pF at 2 MHz.
   What is the true capacitance at 450 MHz, assuming
   the lossless case?

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Problem 2

• At 100 MHz an inductor of 100 nH true inductance
  has an effective RF series loss resistance of 1
  W.
• What is the Q of the series combination?
• If 2 pF parallel capacitance is added to the
  series R-L combination, what is the new effective
  inductance at 100 MHz?
• What is the new Q of the three-element
  series-parallel circuit at 100 MHz?

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Problem 3

• Find the frequency where the two circuits shown
  have equivalent terminal impedances. Use PSpice
  or MATLAB to plot the impedance response vs.
  frequency, and measure the frequency range
  through which the complex input impedances are
  nearly equal ( 5).
• Hint Use

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Problem 4

• Convert the series RLC circuit below to its
  closest two-element (one resistor and one
  reactive component) parallel equivalents at a
  single frequencies of 1 MHz and 2 GHz.
  Components may be neglected when their reactances
  are less than 1 of the reactive element.