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  • Draw a schematic arrangement for winding of primary and secondary coils in a transformer with the two coils on separate limbs of the core. State its underlying principle and find the relation between the primary and secondary voltages in terms of the n

Draw a schematic arrangement for winding of primary and secondary coils in a transformer with the two coils on separate limbs of the core. State its underlying principle and find the relation between the primary and secondary voltages in terms of the number of turns of the primary and secondary windings. How are the currents in the primary and secondary coils related to the voltages in the case of an ideal transformer?

 

 

 

 
 
 
 
 

Answers (1)

Transformer work on the principle of mutual induction. Whenever the current in the primary coil changes an emf is induced in the secondary coil.

E_{p}=\frac{-N_{P}d\phi}{dt}\; \; \; ---(1)

where \frac{d\phi }{dt} is change in flux.

N_{P} is the number of turns in the primary & E_{P} is the primary voltage.

Secondary voltage

E_{S}=\frac{-N_{s}d\phi }{dt}\; \; \; ---(2) where N_{s} is number of turns of secondary coil

from (1) and (2)

\frac{E_{P}}{E_{S}}=\frac{N_{P}}{N_{S}}\; \; \; \; ---(3)

For an ideal transformer input power = output power

E_{P}i_{P}=E_{S}i_{S}\Rightarrow \frac{E_{P}}{E_{S}}=\frac{i_{S}}{i_{P}}\; \; \; \; ---(4)

From (3) and (4)

\frac{i_{S}}{i_{P}}=\frac{N_{P}}{N_{S}}

Posted by

Safeer PP

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