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SS3: PHYSICS - 2ND TERM

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  1. Magnetic Field | Week 1
    4 Topics
  2. Electromagnetic Field
    4 Topics
  3. Electromagnetic Induction
    6 Topics
  4. The Transformer
    5 Topics
  5. Simple A.C Circuit
    4 Topics
  6. Models of the Atom
    2 Topics
  7. Radioactivity
    3 Topics
  8. Half Life
    8 Topics
  9. Energy Quantization
    3 Topics
  10. Photoelectric Effect
    4 Topics
  11. Wave Particle Paradox
    3 Topics



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Lesson 5, Topic 4
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Power in an A.C Circuit

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Power is dissipated in the resistor in an a.c circuit 

P = IV =  I2 R

Power dissipation in inductor and capacitor is zero

Screen Shot 2020 10 29 at 7.27.52 PM

Vsinφ is the voltage across total inductance and capacitance where power is zero, the horizontal component voltage is in phase with the current I, gives the useful power in the circuit, Cosø. Cosø is therefore called the power factor

Therefore, P = IVcosø

cosø = \( \frac {R}{z} = \frac{V_R}{V}\)  

Example

An electric cooker of 150Ω uses an a.c current of peak value 5.0A. What is the power dissipated?

Solution

Irms = \( \frac{I_0}{\sqrt{2}}\)   = 0.707 I0  = 0.707 x 5  = 3.5A

Power dissipated, P = \( \scriptsize I_{rms}^2 R \)

= (3.5) x 150

= 1837.5W

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