Question

Explain the working principle of single phase transformer and derive emf equation

Answer 1

Principle transformer is a static electrical apprentices by means of which electric power in one circuit is transformed.

Answer 2

Answer:

Working Principle of a transformer e1 =  − N 1 d φ d t −N1dφdt Where N1 is the number of turns in the primary winding. The induced emf in the primary winding is nearly equal and opposite to the applied voltage V1. Assuming leakage flux to be negligible, almost the flux produced in primary winding links with the secondary winding. Hence, an emf e2 is induced in the secondary winding. e2 =  − N 2 d φ d t −N2dφdt Where N2 is the number of turns in the secondary winding. If the secondary circuit is closed through the load, a current I2 flows in he secondary winding. Thus energy is transferred from the primary winding to the secondary winding. EMF EQUATION. As the primary winding is excited by a sinusoidal alternating voltage, an alternating current flows in the winding producing a sinusoidally varying flux  φ φ in the core. φ = φ m s i n ω t φ=φmsinωt As per Faraday’s law of electromagnetic induction an emf e1 is induced in the primary winding.  e1 =  − N 1 d φ d t −N1dφdt  e1 =  − N 1 d φ d t −N1dφdt( φ m s i n ω t φmsinωt) Maximum value of induced emf =  2 π f φ m N 1 2πfφmN1 Hence, rms value of induced emf in primary winding is given by, E1 =  E m a x √ 2 Emax2 =  2 π f N 1 φ m √ 2 2πfN1φm2 = 4.44fN1 φ m φm Similarly rms value of induced emf in the secondary winding is given by, E2 = 4.44 f N 2 φ m fN2φm Also, E 1 N 1 E1N1 =  E 2 N 2 E2N2 = 4.4f φ m φm Thus emf per turn is same in primary and secondary winding and an equal emf is induced in each turn of the primary and secondary winding.Read more on Sarthaks.com - https://www.sarthaks.com/1012601/explain-the-construction-working-principle-single-phase-transformer-derive-equations

Explanation: