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A surge of 200 kV travels along an overhead line towards its junction with a cable. The surge impedance for the overhead line and cable are 450 Ω and 60 Ω respectively. The magnitude of the surge transmitted through cable is – (in kV)
    Correct answer is between '47,47.1'. Can you explain this answer?
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    A surge of 200 kV travels along an overhead line towards its junction ...
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    A surge of 200 kV travels along an overhead line towards its junction ...
    Ohms and 400 ohms, respectively. Calculate the reflection coefficient and the voltage at the junction.

    The reflection coefficient (ρ) can be calculated using the formula:

    ρ = (Zc - Zo) / (Zc + Zo)

    Where:
    Zc = Surge impedance of the cable = 400 ohms
    Zo = Surge impedance of the overhead line = 450 ohms

    Substituting the values into the formula:

    ρ = (400 - 450) / (400 + 450)
    ρ = -50 / 850
    ρ = -0.0588

    Since the reflection coefficient is negative, it indicates that there is a partial reflection of the surge at the junction.

    The voltage at the junction can be calculated using the formula:

    Vj = Vg * (1 + ρ)

    Where:
    Vj = Voltage at the junction
    Vg = Surge voltage = 200 kV = 200,000 volts
    ρ = Reflection coefficient = -0.0588

    Substituting the values into the formula:

    Vj = 200,000 * (1 + (-0.0588))
    Vj = 200,000 * (1 - 0.0588)
    Vj = 200,000 * 0.9412
    Vj = 188,240 volts

    Therefore, the voltage at the junction is approximately 188,240 volts.
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    A surge of 200 kV travels along an overhead line towards its junction ...
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    A surge of 200 kV travels along an overhead line towards its junction with a cable. The surge impedance for the overhead line and cable are 450 Ω and 60 Ω respectively. The magnitude of the surge transmitted through cable is – (in kV)Correct answer is between '47,47.1'. Can you explain this answer?
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