The primary and secondary coils of a transformer have 50 and 1500 turns respectively. If the total magnetic FLUX LINKAGE of the primary is Φₚ = Φ₀ + 4t (in weber-turns), find the output voltage across the secondary coil.
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Question

The primary and secondary coils of a transformer have 50 and 1500 turns respectively. If the total magnetic FLUX LINKAGE of the primary is Φₚ = Φ₀ + 4t (in weber-turns), find the output voltage across the secondary coil.

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G1 Physics · Accepted Answer

Step 1: Primary and secondary turn counts are Nₚ=50 and Nₛ=1500. Their ratio is Nₛ/Nₚ=30. Step 2: The source specifies magnetic flux LINKED WITH THE PRIMARY COIL (its total flux linkage) as Φₚ=Φ₀+4t. Hence induced primary emf magnitude is |eₚ|=|dΦₚ/dt|=4 V. Step 3: With an ideal transformer, induced emf is proportional to the number of turns, so eₛ/eₚ=Nₛ/Nₚ. Step 4: eₛ=4×(1500/50)=120 V. Final answer: (A) 120 V.