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Q.

In series L, C, R circuit at resonance current versus frequency graph is shown below for different resistances choose correct alternative

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a

$R_{1} > R_{2} > R_{3}$

b

impedance of circuit will be same for any value of R

c

$R_{1} < R_{2} < R_{3}$

d

$R_{1} = R_{2} = R_{3}$

answer is B.

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Detailed Solution

Impedance $Z = \sqrt{R^{2} + {(X_{L} - X_{C})}^{2}}$ .

At resonance, $Z_{max} = R$ , and $I_{max} = \frac{V}{R} \Rightarrow I_{max} \propto \frac{1}{R}$ .

Hence from the given graph, R₁<R₂<R₃.

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In series L, C, R circuit at resonance current versus frequency graph is shown below for different resistances choose correct alternative