Given below are two statements:
Statement I : When the frequency of an a.c source in a series LCR circuit increases, the current in the circuit first increases, attains a maximum value and then decreases.
Statement II: In a series LCR circuit, the value of power factor at resonance is one.
In the light of given statements, choose the most appropriate answer from the options given below.

see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!

An Intiative by Sri Chaitanya

Both Statement I and Statement II are false.

Both Statement I and Statement II are true.

Statement I is incorrect but Statement II is true.

Statements I is correct but Statement II is false.

answer is D.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

In ac circuit, $I = \frac{V}{Z} = \frac{V}{\sqrt{R^{2} + {(X_{L} - X_{C})}^{2}}} = \frac{V}{\sqrt{R^{2} + {(ωL - \frac{1}{Cω})}^{2}}}$

As the frequency of an a.c source in a series LCR circuit increases, the current in the circuit first increases, attains a maximum value and then decreases.

Power factor, $cosϕ = \frac{R}{Z} = \frac{R}{\sqrt{R^{2} + {(X_{L} - X_{C})}^{2}}}$

At resonance, $X_{L} = X_{C} \Rightarrow R = Z \Rightarrow cosϕ = 1$

Watch 3-min video & get full concept clarity

hear from our champions

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

🔥 Start Your JEE/NEET Prep at Just ₹1999 / month - Limited Offer! Check Now!

Get Expert Academic Guidance – Connect with a Counselor Today!

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET