Q.

For a series LCR circuit, I vs ω curve is shown:

(a) To the left of ωr, the circuit is mainly capacitive.

(b) To the left of ωr, the circuit is mainly inductive.

(c) At ωr, impedance of the circuit is equal to the resistance of the circuit.

(d) At ωr, impedance of the circuit is 0 .

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Choose the most appropriate answer from the options given below :

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a

(a) and (c) only

b

(a) and (d) only

c

(b) and (d) only

d

(b) and (c) only

answer is C.

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Detailed Solution

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at ωr,XC=XL
1ωrC=ωrL
So if  ω<ωr then xC will increase and XL will decrease.
Hence to left of ωr circuit is capacitive
Z=R2+XCXL2
at ωr,Z=R2+O2=R

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