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natita [175]
3 years ago
7

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 resis

tor 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?
Physics
1 answer:
spin [16.1K]3 years ago
8 0

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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