Question
Download Solution PDFAn ideal 220 VA step-down transformer is connected to a 220 V supply in the primary. If its turns ratio is 4 ∶ 1, then the value of the secondary current will be ______.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept-
Transformer:
- An electrical device that is used to transfer electrical energy from one electrical circuit to another is called a transformer.
There are two types of transformer:
1. Step-up transformer:
- The transformer which increases the potential is called a step-up transformer.
- The number of turns in the secondary coil is more than that in the primary coil.
2. Step-down transformer:
- The transformer which decreases the potential is called a step-down transformer.
- The number of turns in the secondary coil is less than that in the primary coil
In a transformer:
\(\frac{{{I_S}}}{{{I_P}}} = \frac{{{N_P}}}{{{N_S}}}\)
Where IS is current in the secondary coil, IP is current in the primary coil, NS is the number of turns in the secondary coil and Np is the number of turns in the primary coil.
Explanation
Given that the power is 220 VA and it's connected to a 220 V supply on the primary, the current on the primary side (Ip) would be:
Ip = P / Vp = 220 VA / 220 V = 1 A.
The ratio of primary to secondary winding (NP/NS) = 4:1
\(\frac{{{I_S}}}{{{I_P}}} = \frac{{{N_P}}}{{{N_S}}}\)
\(\frac{I_S}{{{1}}} = \frac{{{N_P}}}{{{N_S}}} = \frac{4}{{1}}\)
Secondary Current (IS) = 4 A
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