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QJEEM23Phaf5e: JEE Main 2023 Physics - Class 12 JEEM23Phaf5e Solution: A series LCR circuit is connected to an ac source of 220   …

A series LCR circuit is connected to an ac source of 220 V,50 Hz. The circuit contain a resistance R=100 Ω and an inductor of inductive reactance XL=79.6 Ω. The capacitance of the capacitor needed to maximize the average rate at which energy is supplied will be _________ μF.

Step-by-Step Verified Solution

To maximize the average rate at which energy supplied i.e. power will be maximum.

So in LCR circuit power will be maximum at the condition of resonance and in resonance condition

∴XL=XC79.6=12π(50)×CC=179.6×2π(50)≈40μF

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