Select the option that is correct regarding the following two statements labelled Assertion (A) and Reason (R). Assertion (A): Three-phase auto-transformers are smaller and lighter than equivalent three-phase two-winding transformers. Reason (R): Auto-transformers use fewer windings and a smaller core.
Both A and R are true, and R is the correct explanation of A.
Let's analyze the given statements to determine their correctness and how they relate to each other:
- Assertion (A): "Three-phase auto-transformers are smaller and lighter than equivalent three-phase two-winding transformers."
- Reason (R): "Auto-transformers use fewer windings and a smaller core."
Explanation:
- In a three-phase auto-transformer, the primary and secondary windings are electrically connected, sharing common windings. This design requires fewer materials: less copper for the windings and a smaller iron core, as the core needs to accommodate only the extra voltage transformation portion.
- On the other hand, traditional two-winding transformers have separate primary and secondary windings. This necessitates more materials and results in a larger and heavier structure compared to an auto-transformer of equivalent power rating.
- Therefore, the assertion correctly states that auto-transformers are smaller and lighter due to this reduced material requirement.
Conclusion: Both the Assertion (A) and Reason (R) are true, and the reason provided is indeed the correct explanation for the assertion. The auto-transformer's design inherently requires fewer windings and a smaller core than what is needed in a conventional transformer setup, thus making it smaller and lighter.
Therefore, the correct answer is: Both A and R are true, and R is the correct explanation of A.
Similar Questions
A 12μF capacitor and a 4μF capacitor are connected in series. The ratio of voltages across them will be:
Which combination of the following statements about direct resistance heating are correct?
i) The process requires the charge to be electrically conductive.
ii) Electrodes are placed in direct contact with the charge.
iii) Heat is generated by induced eddy currents in the charge.
iv) The charge does not form part of the electric circuit.
In a single-phase RL circuit, the RMS voltage across the supply is 100 V, the RMS current is 5 A, and the current lags the voltage by 60°. Determine the apparent power of the circuit.
The fundamental operating principle of a transformer is based on:
Important Questions from Transformer
Which of the following is used in transformer protection system?
Open circuit test on transformers is conducted to determine which of the following?
________ is a property of ferromagnetic materials that causes them to change their shape or dimensions during the process of magnetization.
The transformation ratio ($K$) of a step-up transformer is:
A transformer transforms
