The 360-turn primary coil of a step-down transformer is connected to an ac line that is 120 V (rms). The secondary coil is to supply 15.0 A

Question

The 360-turn primary coil of a step-down transformer is connected to an ac line that is 120 V (rms). The secondary coil is to supply 15.0 A at 6.30 V (rms). 1) Assuming no power loss in the transformer, calculate the number of turns in the secondary coil. (Express your answer to two significant figures.)

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Amity 2 weeks 2021-08-29T18:48:55+00:00 1 Answers 0 views 0

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    2021-08-29T18:50:35+00:00

    Answer:

    N₂ = 19 turns

    Explanation:

    A transform is a system with two different windings where the variation of the magnetic beam is the same, if there are no losses in the system we can use Faraday’s law

              V₁ = -N₁  \frac{d \Phi_B }{dt}

              v₂ = – N₂ \frac{d \Phi_B }{dt}

               \frac{V_1}{N_1} = \frac{V_2}{N_2}

    in this case we look for the number of turns in the second winding

                N₂2 = N_1 \ \frac{ V_2}{V_1}

    calculate us

               N₂ = 360  6.30/ 120

               N₂ = 18.9 turn

    The number of turns must be an integer

               N₂ = 19 turns

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