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What is the input impedance of the circuit, if the circuit operates at ω = 50 rad/s ?

 

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  1. (5.63 - j8.94) Ω
  2. (3.22 - j 11.07) Ω
  3. (4.54 + j6.79) Ω
  4. (6.86 + j13.54) Ω

Answer (Detailed Solution Below)

Option 2 : (3.22 - j 11.07) Ω
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Detailed Solution

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Concept:

Inductive Reactance (XL) = jωL

Capacitive Reactance (XC) = 

Application:

According to the above concept, the given circuit can be modified as,

Hence,

Zin = (-j10) + [(3 - j2)||(8 + j10)]

or, 

or, Zin = (3.22 - j 11.07) Ω

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