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31 October, 12:11

A car's headlights dissipate 40 W on low beam and 50 W on high beam. Is there more or less resistance in the high-beam filament?

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  1. 31 October, 12:12
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    The high-beam filament has more resistance than low beam filament.

    Explanation:

    To determine if the 50 W dissipated by a car's headlights on high beam, has more or less resistance, formula for power dissipated in the filament is used.

    Power = IV

    Voltage = IR

    ∴ Power = I*IR = I²R

    where;

    I is the current

    V is the voltage

    R is the resistance

    From the equation above, Power dissipated is directly proportional to Resistance.

    Hence, the high-beam filament has more resistance than low beam filament.
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