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Question

The LC parallel resonant circuit

A
has a very high impedance
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B
has a very high current
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C
acts as resistance of very low value
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D
has zero impedance
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Solution

The correct option is A has a very high impedance
In LC parallel resonant circuit, the impedance is given by
Z=(XC)(XL)XCXL
In LC parallel resonant circuit, at the resonant frequency we have,
XC=XL
Z=
Also, For pure resistor, Z = R
Hence,
In LC parallel resonant circuit, the impedance is near to infinity or very high.
Option A is correct.
Since, the impedance(resistance) is maximum, the current is negligible or zero it circulates back and forth between components without involving the source.. Hence, option B, C and D are incorrect.

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