{"id":19929,"date":"2022-08-14T07:18:46","date_gmt":"2022-08-14T07:18:46","guid":{"rendered":"https:\/\/mdr.foobrdigital.com\/?p=6375"},"modified":"2022-08-14T07:18:46","modified_gmt":"2022-08-14T07:18:46","slug":"ideal-transformer","status":"publish","type":"post","link":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/2022\/08\/14\/ideal-transformer\/","title":{"rendered":"Ideal Transformer"},"content":{"rendered":"\n

The ideal transformer has no losses. There is no magnetic leakage flux, ohmic resistance in its windings and no iron loss in the core.<\/p>\n\n\n\n

EMF Equation of Transformer<\/h2>\n\n\n\n
\"\"<\/figure>\n\n\n\n

N1<\/sub> \u2013 number of turns in primary.<\/p>\n\n\n\n

N2<\/sub> \u2013 number of turns in secondary.<\/p>\n\n\n\n

\u03a6m<\/sub> \u2013 maximum flux in weber (Wb).<\/p>\n\n\n\n

T \u2013 time period. Time is taken for 1 cycle.<\/p>\n\n\n\n

The flux formed is a sinusoidal wave. It rises to a maximum value \u03a6m<\/sub> and decreases to negative maximum \u03a6m<\/sub>. So, flux reaches a maximum in one-quarter of a cycle. The time taken is equal to T\/4.<\/p>\n\n\n\n

Average rate of change of flux = \u03a6m<\/sub>\/(T\/4) = 4f\u03a6m<\/sub><\/p>\n\n\n\n

Where f = frequency<\/p>\n\n\n\n

T = 1\/f<\/p>\n\n\n\n

Induced emf per turn = rate of change of flux per turn<\/p>\n\n\n\n

Form factor = rms value \/ average value<\/p>\n\n\n\n

Rms value = 1.11  (4f\u03a6m<\/sub>) = 4.44 f\u03a6m <\/sub>[form factor of sine wave is 1.11]<\/p>\n\n\n\n

RMS value of emf induced in winding = RMS value of emf per turn  x  no of turns<\/p>\n\n\n\n

Primary Winding<\/strong><\/p>\n\n\n\n

Rms value of induced emf = E1<\/sub> = 4.44 f\u03a6m * N1<\/sub><\/p>\n\n\n\n

Secondary winding:<\/p>\n\n\n\n

Rms value of induced emf = E2<\/sub> = 4.44 f\u03a6m * N2<\/sub><\/p>\n\n\n\n

\"Rms<\/figure>\n\n\n\n

This is the emf equation of the transformer.<\/p>\n\n\n\n

For an ideal transformer at no load condition,<\/p>\n\n\n\n

E1<\/sub> = supply voltage on the primary winding.<\/p>\n\n\n\n

E2<\/sub> = terminal voltage (theoretical or calculated) on the secondary winding.
<\/a><\/p>\n\n\n\n

Voltage Transformation Ratio<\/h2>\n\n\n\n
\"Voltage<\/figure>\n\n\n\n

K is called the voltage transformation ratio, which is a constant.<\/p>\n\n\n\n

Case1: if N2 ><\/sub> N1,<\/sub> K>1 it is called a step-up transformer.<\/p>\n\n\n\n

Case 2: if N2<\/sub>< N1<\/sub>, K<1 it is called a step-down transformer.<\/p>\n","protected":false},"excerpt":{"rendered":"

The ideal transformer has no losses. There is no magnetic leakage flux, ohmic resistance in its windings and no iron loss in the core. EMF Equation of Transformer N1 \u2013 number of turns in primary. N2 \u2013 number of turns in secondary. \u03a6m \u2013 maximum flux in weber (Wb). T \u2013 time period. Time is taken for 1 […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[450],"tags":[],"_links":{"self":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/19929"}],"collection":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/comments?post=19929"}],"version-history":[{"count":0,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/19929\/revisions"}],"wp:attachment":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/media?parent=19929"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/categories?post=19929"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/tags?post=19929"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}