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Q.

What can be said about two series resonant LCR circuits if same current flows through them when connected across a sinusodial voltage source?

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a

Both the circuits having same value of capacitance and inductance.

b

In both circuits ratio of L and C will be same

c

For both the circuits,  XL / ХC must be same at that frequency

d

Both the circuits must have same in dependence at all frequencies.

answer is C.

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Detailed Solution

We are given that the two series LCR circuit are at resonance.When the circuit is in resonance the value of XL = XC. i.e., XL1=XC1XL2=XC2XLXC1=1XLXC2=1⇒XLXC1=XLXC2For both the the circuits the ratioXLXC will be same.
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What can be said about two series resonant LCR circuits if same current flows through them when connected across a sinusodial voltage source?