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Power in AC Circuit

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Topics

Estimated time: 4 minutes
  • Circuit Containing Pure Resistance Only
  • Circuit Containing both Inductance and Resistance (L-R Circuit)
Maharashtra State Board: Class 11

Definition: Power Factor

In the expression Pav = VrmsIrms cos⁡ ϕ, the quantity cos φ is called the power factor.

Maharashtra State Board: Class 11

Definition: Wattless Current

The current flowing in a purely inductive or purely capacitive circuit for which cos φ = 0 and no power is dissipated even though the current is flowing is called wattless current.

Maharashtra State Board: Class 11

Formula: Instantaneous Power

P = VI = \[\frac{V_mI_m}{2}[\cos\phi-\cos(2\omega t+\phi)]\]

Maharashtra State Board: Class 11

Formula: Average Power

Pav ​= VI cos ϕ = I2Z cos ϕ = \[\frac {V_m​I_m}{2}\]​​cos ϕ = Vrms​Irms​ cos ϕ

Video Tutorials

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Shaalaa.com | Alternating Current Circuit with pure resistance, inductor

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Alternating Current Circuit with pure resistance, inductor [00:40:48]
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