A spark is generated in an automobile spark plug when there is an electric potential of 3000 V across the electrode gap. If 60 W of power is

Question

A spark is generated in an automobile spark plug when there is an electric potential of 3000 V across the electrode gap. If 60 W of power is generated in a single spark that delivers a total charge of 3 nC, how long does it take for the spark to travel across the gap?
A. 50 ns
B. 75 ns
C. 125 ns
D. 150 ns
E. 225 ns 5

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Thiên Di 5 years 2021-08-10T00:02:08+00:00 1 Answers 14 views 0

Answers ( )

    0
    2021-08-10T00:03:23+00:00

    Answer:

    The correct option is  d

    Explanation:

    From the question we are told that

         The  electric potential is  V  =  3000 \ V

          The  power is  P  =  60 \ W

          The  charge delivered is  q = 3nC  =  3.0 *10^{-9} \ C

    Generally the power generated is mathematically represented as

             P  =  I V

    =>      I  =  \frac{P}{V }

    =>       I  =  \frac{60 }{3000 }

    =>     I  =  0.02 \ A

    This  current flow is mathematically represented as

               I  =  \frac{q -q_o}{\Delta t }

    Where q_o is the charge delivered at t=0 s which is 0s

         So

                 0.02 =  \frac{ (3.0 *10^{-9}) -0 }{t - 0 }

                   t =  1.50 *10^{-7 } \ s

                   t =  150 *10^{-9 } \ s

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