Correct Answer - Option 1 : 4440, 0.0009 Wb

__Concept:__

In a transformer, an alternating current is applied to the primary winding, a current in the primary winding (magnetizing current) produces alternating flux in the core of the transformer. This alternating flux gets linked with the secondary winding, by mutual induction, so an emf gets induced in the secondary winding. This induced emf is given by the EMF equation of the transformer.

E1 = 4.44f N1 ϕm ……….(1)

E2 = 4.44f N2 ϕm ……….(2)

Where, N1 = Number of turns in primary winding (high voltage side)

N2 = Number of turns in secondary winding (low voltage side)

ϕm = Maximum flux in the core (Wb)

Φm = Bm × A

Bm = Max flux density (T)

A = Area of core (m2)

f = Frequency of the AC supply (Hz)

E1 = Induced emf on the primary side (high voltage side) (V)

E2 = Induced emf on the secondary side (low voltage side) (V)

From equations 1 and 2. we have

\(\frac{E_1}{E_2}=\frac{N_1}{N_2}\)

__Calculation:__

Given:

E1 = 415 V

E2 = 1.1 kV = 1100 V

N1 = 1675

f = 60 Hz

Number of secondary turns = \(N_2=\frac{E_2}{E_1}\times N_1= \frac{1100}{415}\times 1675= 4439.76\)

**∴ Number of secondary turns ≈ 4440 turns**

From equation (1) maximum flux (ϕm) of the transformer can be calculated as

415 = 4.44 × 60 × 1675 × ϕ_{m}

**∴ ϕm = 9.3 × 10**^{4} Wb