In L-C circuit power factor at resonance is:

less than one

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greater than one

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unity

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can't predict

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Solution

The correct option is D unity
Using $t a n ϕ = \frac{X_{C} - X_{L}}{R}$
At resonance, $X_{C} = X_{L}$ $⟹ t a n ϕ = 0$ OR $ϕ = 0^{o}$
Thus power factor at resonance $= c o s ϕ = c o s 0^{o} = 1$

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