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Q.

In a series L-C-R circuit connected to an AC source operating at angular frequency $ω = \frac{1}{\sqrt{LC}}$ and voltage of amplitude $V_{0}$ the algebraic sum of the potential difference across the capacitor and inductor is :

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a

zero

b

$ω {CV}_{0}$

c

$\frac{V_{0}}{ω L}$

d

$2 V_{0}$

answer is A.

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Detailed Solution

$At resonance V_{L} = - V_{C}$

So, algebraic sum of the potential difference across the capacitor and inductor is zero.

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In a series L-C-R circuit connected to an AC source operating at angular frequency ω=1LC and voltage of amplitude V0 the algebraic sum of the potential difference across the capacitor and inductor is :