Question
Download Solution PDFThe number of turns in primary and the secondary coils in a transformer are 800 and 24000, respectively, If the current in the secondary is 6.0 A, the current in the primary is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Transformer:
- It is basically a voltage control device that is used widely in the distribution and transmission of alternating current power.
- A device used in the power transmission of electric energy.
- The transformer works on the principle of Faraday’s law of electromagnetic induction and mutual induction.
- In the transformer, \(\frac{N_P}{N_s}=\frac{I_s}{I_P}\), where NP and Ns = the number of turns in the primary and secondary coil respectively, IP and Is = the current in the primary and secondary coil respectively.
- In terms of voltage, \(\frac{N_P}{N_s}=\frac{E_P}{E_s}\) where, NP and Ns = the number of turns in the primary and secondary coil respectively, EP and Es = the voltage in the primary and secondary coil respectively.
Calculation:
Given,
The number of turns in the primary coil in a transformer, NP = 800
The number of turns in the secondary coil in a transformer, Ns = 24000
The current in the secondary coil is Is = 6.0 A
In the transformer, \(\frac{N_P}{N_s}=\frac{I_s}{I_P}\)
\(\Rightarrow I_P=\frac{N_sI_s}{N_P}\)
\(\Rightarrow I_P=\frac{24000\times 6.0}{800}\)
\(\Rightarrow I_P=180 A\)
Hence, the current in the primary coil is 180 A.
Additional Information
- Faraday’s law of electromagnetic induction:
- Faraday’s Laws of Electromagnetic Induction consist of two laws.
- Faraday's first law of electromagnetic induction: States Whenever a conductor is placed in a varying magnetic field, an electromotive force is induced
- Faraday's second law of electromagnetic induction: States that the induced emf is equal to the rate of change in magnetic flux with respect to time.
- Formula-induced emf, \(e=-N\frac{Δ ϕ}{Δ t}\) where N = number of turns, Δ ϕ = BAcosθ = Magnetic flux
- Mutual induction:
- It is defined as the property of the coils that enables it to oppose the changes in the current in another coil.
- With a change in the current of one coil, the flow changes too thus inducing EMF in the other coil
Last updated on May 26, 2025
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