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Question : 28
Total: 35
A series CR circuit with R = 200 Ω and C = ( 50 ∕ π ) µ F is connected across an ac source of peak voltage ε 0 , = 100 V and frequency v = 50 Hz . Calculate (a) impedance of the circuit ( Z ) , ( b ) phase angle ( ϕ ) , and (c) voltage across the resistor.
Solution: 👈: Video Solution
(a) Given, R = 200 Ω , C =
µ F
Impedance:Z = √ R 2 + (
) 2
Or,Z = √ ( 200 ) 2 + (
) 2
Or,
Z = √ ( 200 ) 2 + ( 200 ) 2
∴ Z = 200 √ 2
(b) Phase angle:
θ = tan − 1
or,θ = tan − 1 (
)
or,θ = tan − 1 1
∴θ = 45 ∘
(c) Voltage across resistor:
I R M S =
Or, I R M S =
Or,I RMS =
∴ I RMS =
A
V R = I RMS × R
Or,V R =
× 200
∴ V R = 50 V
Impedance:
Or,
Or,
(b) Phase angle:
or,
or,
∴
(c) Voltage across resistor:
Or,
Or,
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