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?
CBSE OUTSIDE DELHI - SET 1 EAST 2016
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Alternate Answer
When the current through the primary coil changes, the magnetic flux through the secondary changes. This produces an induced emf in the secondary coil/it works on mutual induction.
$\varepsilon_{s} = -\text{N}_{s}\frac{\text{d}\varphi}{\text{dt}}$
$\varepsilon_{p} = -\text{N}_{p}\frac{\text{d}\varphi}{\text{dt}}$
$\frac{\varepsilon_{s}}{\varepsilon_{p}} = \frac{\text{N}_{s}}{\text{N}_{p}}$
$i_{s}\varepsilon_{s} = i_{p} \varepsilon_{p}$ (for ideal transformer)
$\frac{i_{s}}{i_{p}} = \frac{\varepsilon_{p}}{\varepsilon_{s}}.$
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