A 12-V DC automobile head lamp is to be used on a fishing boat with a 24-V power system. The head lamp is rated at 50 W. A resistor is to be

Question

A 12-V DC automobile head lamp is to be used on a fishing boat with a 24-V power system. The head lamp is rated at 50 W. A resistor is to be connected in series with the lamp to permit it to operate on 24 V. What should be the resistance and power rating of the resistor?

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RobertKer 6 months 2021-08-03T10:04:36+00:00 1 Answers 38 views 0

Answers ( )

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    2021-08-03T10:06:17+00:00

    Answer:

    The  resistance is  R  =  2.88 \ \Omega

    Explanation:

    From the question we are told that

        The  voltage  rating of the headlamp is  V_1  =  12 \ V

         The  voltage of the power system is  p =  24 \  V

         The  power rating of the headlamp  is  P  =  50 W

    Generally the power which the resistor dissipates is mathematically represented as

          P  =  V_L *  I

    =>       50 =  12 *  I

    =>   I  =  4.1667 \  A

    Generally the resistance is

          R  =  \frac{V_1 }{I}

          R  =  \frac{12 }{4.1667}

          R  =  2.88 \ \Omega

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