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A step-down transformer has 50 turns on ...

A step-down transformer has 50 turns on secondary and 1000 turns on primary winding. If a transformer is connected to 220 V, 1A C AC source, then what is output current of the transformer ?

A

`1/20 A`

B

20 A

C

100 A

D

0.083333333333333

Text Solution

Verified by Experts

The correct Answer is:
B
We know that,
Power in the secondary coil = Power in the primary coil
`V_(S) xx N_(P) = V_(P) xx N_(S) rArr N_(S)/N_(P) = V_(S)/V_(P)`
Where, `V_(S)` = voltage across secondary coil
`V_(P)`= voltage across primary coil
`N_(P)`= number of turns in primary coil
`N_(S)` = number of turns in secondary coil
Given, `N_(S)`= 50 turns, `N_(P)` = 1000 turns
`V_(P) = 220 V, I_(S)= ?`
`50/1000 = V_(S)/220`
`rArr V_(S) = (50 xx 220)/(1000) = 11 V`
But `V_(S)I_(S) = V_(P)I_(P)`
`rArr 11 xx I_(S) = 220 xx I`
`rArr I_(S) = 220/11 = 20 A`
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