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TS EAMCET · Physics · Electromagnetic Waves

A resistor of 20Ω and a capacitor are connected in series with an AC current source of 50 Hz. What should be the capacitance to produce a phase difference of 30° between the voltage and current?

  1. A 12πmF
  2. B 32πmF
  3. C 3mF
  4. D 2πmF
Verified Solution

Answer & Solution

Correct Answer

(B) 32πmF

Step-by-step Solution

Detailed explanation

Capacitive reactance is given by, XC=1ωC ⇒XC=12×π×f×C ⇒XC=12×π×50×C=1100π×C Impedance of the circuit is given by, Z=R2+XC2  ...1 Power factor is given by, cosϕ=RZ ⇒cos30°=20Z…
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