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.

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SSC JE EE Previous Paper 11 (Held on: 24 March 2021 Morning)
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  1. 10 mWb
  2. 2.5 mWb
  3. 1 mWb
  4. 25 mWb

Answer (Detailed Solution Below)

Option 2 : 2.5 mWb
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Detailed Solution

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Concept:

The magnitude of net emf of an ideal transformer is given by the formula:

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.

Calculation:

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

111 = 4.44 × 50 × 200 × ϕm

ϕm = 111 / (4.44 × 50 × 200)

= 2.5 mWb

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