
A power transmission line feeds input power at to a step down transformer with its primary windings having turns. What should be the number of turns in the secondary in order to get output power at ?
Answer
148.5k+ views
Hint: The voltage at the either side of a transformer is proportional to the number of turns at that side. Therefore, the ratio of the voltages at the primary and the secondary side of a transformer is equal to the ratio of the number of turns of the primary and the secondary windings. Using this relation, we can substitute the given values and can determine the required value of the number of turns in the secondary.
Formula used: The formula used to solve this question is given by
, here and are the voltage and the number of turns at the primary of a transformer, and and are the corresponding values at the secondary.
Complete step-by-step solution:
Let the number of turns in the primary and the secondary windings of the given transformer be and respectively. Also, let and be the respective values of the voltages at the primary and the secondary of the transformer.
According to the question, we have
................(1)
………...(2)
Also,
…………………..(3)
We know that for a transformer we can write
Substituting (1), (2) and (3) in the above equation we get
On solving we get
Hence, for the given value of the output voltage, the number of turns in the secondary of the given transformer is equal to .
Note: A step down transformer is used to decrease the high voltage applied at the primary side to the low voltage. For this purpose it has less number of turns at the secondary side than at the primary side. Since the given transformer is stepped down, confirm that the number of turns at the secondary that you have got must be less than the number of turns at the primary.
Formula used: The formula used to solve this question is given by
Complete step-by-step solution:
Let the number of turns in the primary and the secondary windings of the given transformer be
According to the question, we have
Also,
We know that for a transformer we can write
Substituting (1), (2) and (3) in the above equation we get
On solving we get
Hence, for the given value of the output voltage, the number of turns in the secondary of the given transformer is equal to
Note: A step down transformer is used to decrease the high voltage applied at the primary side to the low voltage. For this purpose it has less number of turns at the secondary side than at the primary side. Since the given transformer is stepped down, confirm that the number of turns at the secondary that you have got must be less than the number of turns at the primary.
Recently Updated Pages
JEE Main 2021 July 25 Shift 1 Question Paper with Answer Key

JEE Main 2021 July 22 Shift 2 Question Paper with Answer Key

JEE Atomic Structure and Chemical Bonding important Concepts and Tips

JEE Amino Acids and Peptides Important Concepts and Tips for Exam Preparation

JEE Electricity and Magnetism Important Concepts and Tips for Exam Preparation

Chemical Properties of Hydrogen - Important Concepts for JEE Exam Preparation

Trending doubts
JEE Main 2025 Session 2: Application Form (Out), Exam Dates (Released), Eligibility, & More

JEE Main 2025: Derivation of Equation of Trajectory in Physics

Uniform Acceleration

Electric Field Due to Uniformly Charged Ring for JEE Main 2025 - Formula and Derivation

Electric field due to uniformly charged sphere class 12 physics JEE_Main

Degree of Dissociation and Its Formula With Solved Example for JEE

Other Pages
JEE Advanced Marks vs Ranks 2025: Understanding Category-wise Qualifying Marks and Previous Year Cut-offs

JEE Advanced 2025: Dates, Registration, Syllabus, Eligibility Criteria and More

JEE Advanced Weightage 2025 Chapter-Wise for Physics, Maths and Chemistry

Electrical Field of Charged Spherical Shell - JEE

Charging and Discharging of Capacitor

JEE Main 2025: Conversion of Galvanometer Into Ammeter And Voltmeter in Physics
