55) The primary coil of an ideal transformer has 600 turns and its secondary coil has 150 turns. If the current in the primary coil is 2 A, what is the current in its secondary coil

Respuesta :

Answer:

The current in its secondary coil is 8 A.

Explanation:

Given;

number of turns in the primary coil, [tex]N_P[/tex] = 600 turns

number of turns in the secondary coil, [tex]N_S[/tex] = 150 turns

current in the primary coil, [tex]I_P[/tex] = 2 A

current in the secondary coil, [tex]I_S[/tex] = ?

For an Ideal transformer, the emf in the primary winding is equal to the emf in the secondary winding. [tex]N_PI_P = N_SI_S[/tex]

The current in the secondary coil, can be calculated by applying turn ratio;

[tex]\frac{N_P}{N_S} = \frac{I_S}{I_P} \\\\I_S = \frac{N_PI_P}{N_S} \\\\I_S = \frac{600*2}{150} = 8 A[/tex]

Therefore, the current in its secondary coil is 8 A.

The current in the secondary coil is 8 A

The first step is to write out the parameters

Number of turns in the primary coil= 600

Number of turns in the secondary coil= 150

Current in the primary coil= 2

600/150= current in the secondary coil/2

cross multiply

600×2= 150×x

1200= 150x

x= 1200/150

= 8

Hence the current in the secondary coil is 8 amps

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