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A current controlled current source (CCCS) has an input impedance of $10 \: \Omega$ and output impedance of $100 \: k\Omega$. When this CCCS is used in a negative feedback closed loop with a loop gain of $9$, the closed loop output impedance is

  1. $10 \: \Omega$
  2. $100 \: \Omega$
  3. $100 \: k  \Omega$
  4. $1000 \: k \Omega$
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