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10 June, 06:50

N Europe the standard voltage in homes is 220 V instead of the 120 V used in the United States. Therefore "100-W" European bulb would be intended for use with a 220-V potential difference.

(a) If you bring a "100-W" European bulb home to the untied States, what should be its US power rating?

(b) How much current will the 100-W European bulb draw in normal use in the United States?

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  1. 10 June, 07:19
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    Given Information:

    Peurope = 100 watts

    Veurope = 220 volts

    Vusa = 120 volts

    Required Information:

    Pusa = ?

    Iusa = ?

    Answer:

    Pusa = 29.75 watts

    Iusa = 0.247 A

    Explanation:

    The power dissipated in a bulb is given by

    P = V²/R

    Where P is the power in Watts, V is the potential difference or voltage in Volts and R is the resistance in Ohms

    First we have to determine the resistance of the bulb which doesn't change whether the bulb is in the Europe or USA

    R = V²/P

    R = 220²/100

    R = 484 ohms

    (a) If you bring a "100-W" European bulb home to the untied States, what should be its US power rating?

    Pusa = V²/R

    Pusa = 120²/484

    Pusa = 29.75 watts

    (b) How much current will the 100-W European bulb draw in normal use in the United States?

    V = I*R

    Vusa = Iusa*R

    Iusa = Vusa/R

    Iusa = 120/484

    Iusa = 0.247 A

    Another method:

    P = V*I

    Pusa = Vusa*Iusa

    Iusa = Pusa/Vusa

    Iusa = 29.75/120

    Iusa = 0.247 A

    Hence we got the same current as before.
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