Answer Posted / amit upadhyay dscl

because
cos$ = R/Z ........... ($=phai),
where R=resistance & Z=impedance
total impedance without capacitor,
Z=root square of(R square + XL square)
total impedance with capacitor,
Z=root square of{R square + (XL-XC) square}
due to decrease of (XL-XC) total impedance with capacitor
decreases, and due to this, power factor increases. because
from equation first,
cos$ perportional to 1/Z

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