A coil of inductance L = 5/8 H and of resistanceR=62.8Ωis connected to the mains alternating voltage of frequency 50Hz. What can be the capacitance of the capacitor (in μF) connected in series with the coil if the power dissipated has to remain unchanged? Take π2=10

see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away

An Intiative by Sri Chaitanya

answer is 8.

(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

Pav=EvIvcosϕ=EvEvZR/ZZ has to be same in both cases.Z1=Z2⇒R2+XL2=R2+(XC-XL)2⇒XL=XC-XL⇒2XL=XC⇒2ωL=1ωC⇒C=12ω2L⇒C=12×(2πf)2L=12×4π2×(50)2×5/8=8×10-6F

Watch 3-min video & get full concept clarity