In an ideal transformer the voltage and current in primary coil are 20...
Ns/Np =Ip/Is
Ns =no. of turns in secondary coil
No = no of turns in primary coil
Ip = current in primary coil
Is = current in secondary coil
In an ideal transformer the voltage and current in primary coil are 20...
Transformer Basics
A transformer is an electrical device that transfers electrical energy between two or more circuits through electromagnetic induction. It consists of two or more coils of wire, known as windings, which are wrapped around a common iron core. The primary winding is connected to the input voltage source, while the secondary winding is connected to the load.
Ideal Transformer and Turns Ratio
In an ideal transformer, there are no losses, and the primary and secondary windings are perfectly coupled. This means that all of the magnetic flux generated by the primary winding passes through the secondary winding. The turns ratio of a transformer is defined as the ratio of the number of turns in the secondary winding to the number of turns in the primary winding.
Voltage and Current Relationship in a Transformer
According to the principles of electromagnetic induction, the voltage across the primary winding (Vp) is proportional to the number of turns in the primary winding (Np) and the rate of change of magnetic flux. Similarly, the voltage across the secondary winding (Vs) is proportional to the number of turns in the secondary winding (Ns).
The current flowing through the primary winding (Ip) is determined by the load connected to the secondary winding. The primary and secondary currents are related by the turns ratio of the transformer. In an ideal transformer, the product of the primary current and the number of turns in the primary winding is equal to the product of the secondary current and the number of turns in the secondary winding.
Calculation of Secondary Current
Given that the voltage in the primary coil (Vp) is 200V and the current in the primary coil (Ip) is 2A, and the voltage in the secondary coil (Vs) is 2000V, we can use the turns ratio to calculate the current in the secondary coil (Is).
The turns ratio (Np:Ns) can be determined by the ratio of the primary voltage to the secondary voltage:
Np:Ns = Vp:Vs
Substituting the given values:
Np:Ns = 200V:2000V
Np:Ns = 1:10
Since the turns ratio is 1:10, the current in the secondary coil (Is) is given by:
Is = (Ip * Np) / Ns
Substituting the given values:
Is = (2A * 1) / 10
Is = 0.2A
Therefore, the value of the current in the secondary coil is 0.2A.