A single-phase 111-V, 50-Hz supply is connected to a coil with 200 turns of a coil-core assembly as shown in the given figure. Find the magnitude of maximum flux in the core.

A single-phase 111-V, 50-Hz supply is connected to a coil with 200 turns of a coil-core assembly as shown in the given figure. Find the magnitude of maximum flux in the core. A single-phase 111-V, 50-Hz supply is connected to a coil with 200 turns of a coil-core assembly as shown in the given figure.

Right Answer is:

2.5 mWb

SOLUTION

The magnitude of net emf of an ideal transformer is given by

E = 4.44 × f × N × ϕm 

Where

E = RMS value of applied voltage.

f = frequency of the transformer.

N = number of turns.

ϕm =  the magnitude of maximum flux in the core.

GIVEN

E = 111 V, f = 50 Hz, N = 200

111 = 4.44 × 50 × 200 × ϕm

ϕm = 111 / (4.44 × 50 × 200)

ϕm = 2.5 mWb

Scroll to Top