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.)

Answer 1

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