Question

define tranformer and derive their formula

Answer 1

☆ hey friend!!! ☆

here is your answer ☞
→_→→_→→_→→_→

☞ When we apply sinusoidal voltage on primary side v1, a sinusoidal current(AC) i1 is flow in primary side of winding. Due to this flux is generate and this also sinusoidal in nature that is denoted by ɸ. (Shown in fig. given below)


☞This flux is link with secondary winding and an EMF is induced that is denoted by e2. This flux is also links with primary winding and an EMF e1 is induced.


☞ According to FLEMI average induced EMF in

Primary coil is e1 (avg.) = -N1 (dɸ/dt) volt

Secondary coil is e2 (avg.) = -N2 (dɸ/dt) volt

where N1 & N2 are number of turns in primary and secondary winding respectively.

(-) sign represents according to lenz’s law.

dɸ/dt means change in flux with time.

dɸ/dt = ɸm/( T/4) = ɸm/ (1/4f) = 4f*ɸm

e1 = -N1(4f*ɸm) volt

e2 = -N2(4f*ɸm) volt

☞ This is the average value and in AC system we deal with with rms value.

Form factor = (rms / avg.) = 1.11

So rms = 1.11×avg.

Now

e1 (rms) = -(4.44×N1×f×ɸm) volt

e2 (rms) = -(4.44×N2×f×ɸm) volt

This is the emf equation of transform.

Hope this will help you.

Good Luck.

Devil_king ▄︻̷̿┻̿═━一