An Ac main supply given to be 220v what is the average emf during positive half cycle

Physics

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Step-by-step solution

3 steps

Hebu tutatue hili:

  1. Tafuta voltage ya kilele (peak voltage), V₀.

    Voltage ya AC ya 220 V ni RMS voltage (V_rms). Ili kupata voltage ya kilele (V₀), tunatumia formula:
    V_rms = V₀ / √(2)
    Hivyo, V₀ = V_rms × √(2)

    V₀ = 220 V × √(2)
    V₀ = 220 V × 1.414
    V₀ = 311.08 V

  2. Tumia formula ya wastani wa EMF (average EMF) kwa nusu mzunguko chanya.

    Kwa wimbi la sine, wastani wa EMF (V_avg) wakati wa nusu mzunguko chanya hutolewa na formula:
    V_avg = (2V₀) / π

  3. Badilisha thamani ya V₀ na ukokotoe.

    V_avg = (2 × 311.08 V) / π
    V_avg = 622.16 V / 3.14159
    V_avg = 198.04 V

    Wastani wa EMF wakati wa nusu mzunguko chanya ni 198.04 V.

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