Question

Calculate the value of the additional capacitor

which may be joined suitably to the capacitor C

that would make the power factor of the circuit

unity.

Answer 1

Answer:

(a)The phase difference between current and voltage ϕ is given by

tanϕ=RXC−XL

XC=ωC1=500Ω

XL=ωL=100Ω

R=400Ω

Thus tanϕ=400400=1

⟹ϕ=45∘

(b) Power factor is given by cosϕ=1

⟹ϕ=0∘

⟹tanϕ=0

⟹XC=XL=100Ω

⟹C=10μF

Hence an 8μF capacitor need to be connected in parallel with the given capacitor.

(a)The phase difference between current and voltage ϕ is given by

tanϕ=RXC−XL

XC=ωC1=500Ω

XL=ωL=100Ω

R=400Ω

Thus tanϕ=400400=1

⟹ϕ=45∘

(b) Power factor is given by cosϕ=1

⟹ϕ=0∘

⟹tanϕ=0

⟹XC=XL=100Ω

⟹C=10μF

Hence an 8μF capacitor need to be connected in parallel with the given capacitor.

Answer 2

Answer:

ANSWER IS IN THE PHOTO...