Electrical Engineering (EE) Exam  >  Electrical Engineering (EE) Questions  >  A long uniform coil of a inductance L henries... Start Learning for Free
A long uniform coil of a inductance L henries and associated resistance R ohms is physically cut into two exact halves which are then rewound in parallel. The resistance and inductance of the combination are
  • a)
    R and L
  • b)
    R/2 and L/2
  • c)
    R/4 and L/4
  • d)
    2R and 2L
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A long uniform coil of a inductance L henries and associated resistanc...
We know that,

and 
when coil is cut into two equal halves,

(Area of cross - section = constant)
So, 
Also, 


So, 
Hence, new values of resistance and inductance which are reconnected in parallel is

and 
View all questions of this test
Most Upvoted Answer
A long uniform coil of a inductance L henries and associated resistanc...
**Answer:**

**Explanation:**

When a long uniform coil is cut into two exact halves and rewound in parallel, the resistance and inductance of the combination will be different from the original values.

**Resistance:**

When the coil is cut into two halves and rewound in parallel, the total resistance of the combination decreases. This is because the two halves are now connected in parallel, which reduces the overall resistance.

The resistance of each half is R/2, so when they are connected in parallel, the total resistance becomes:

1/Rt = 1/(R/2) + 1/(R/2) = 2/R

Therefore, the resistance of the combination is R/2.

**Inductance:**

When the coil is cut into two halves and rewound in parallel, the total inductance of the combination also decreases. This is because the two halves are now connected in parallel, which reduces the overall inductance.

The inductance of each half is L, so when they are connected in parallel, the total inductance becomes:

1/Lt = 1/L + 1/L = 2/L

Therefore, the inductance of the combination is L/2.

**Conclusion:**

In conclusion, when a long uniform coil is cut into two exact halves and rewound in parallel, the resistance and inductance of the combination are R/2 and L/2, respectively. Therefore, the correct answer is option 'C'.
Explore Courses for Electrical Engineering (EE) exam

Top Courses for Electrical Engineering (EE)

A long uniform coil of a inductance L henries and associated resistance R ohms is physically cut into two exact halves which are then rewound in parallel. The resistance and inductance of the combination area)R and Lb)R/2 and L/2c)R/4 and L/4d)2R and 2LCorrect answer is option 'C'. Can you explain this answer?
Question Description
A long uniform coil of a inductance L henries and associated resistance R ohms is physically cut into two exact halves which are then rewound in parallel. The resistance and inductance of the combination area)R and Lb)R/2 and L/2c)R/4 and L/4d)2R and 2LCorrect answer is option 'C'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about A long uniform coil of a inductance L henries and associated resistance R ohms is physically cut into two exact halves which are then rewound in parallel. The resistance and inductance of the combination area)R and Lb)R/2 and L/2c)R/4 and L/4d)2R and 2LCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A long uniform coil of a inductance L henries and associated resistance R ohms is physically cut into two exact halves which are then rewound in parallel. The resistance and inductance of the combination area)R and Lb)R/2 and L/2c)R/4 and L/4d)2R and 2LCorrect answer is option 'C'. Can you explain this answer?.
Solutions for A long uniform coil of a inductance L henries and associated resistance R ohms is physically cut into two exact halves which are then rewound in parallel. The resistance and inductance of the combination area)R and Lb)R/2 and L/2c)R/4 and L/4d)2R and 2LCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Electrical Engineering (EE). Download more important topics, notes, lectures and mock test series for Electrical Engineering (EE) Exam by signing up for free.
Here you can find the meaning of A long uniform coil of a inductance L henries and associated resistance R ohms is physically cut into two exact halves which are then rewound in parallel. The resistance and inductance of the combination area)R and Lb)R/2 and L/2c)R/4 and L/4d)2R and 2LCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of A long uniform coil of a inductance L henries and associated resistance R ohms is physically cut into two exact halves which are then rewound in parallel. The resistance and inductance of the combination area)R and Lb)R/2 and L/2c)R/4 and L/4d)2R and 2LCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for A long uniform coil of a inductance L henries and associated resistance R ohms is physically cut into two exact halves which are then rewound in parallel. The resistance and inductance of the combination area)R and Lb)R/2 and L/2c)R/4 and L/4d)2R and 2LCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of A long uniform coil of a inductance L henries and associated resistance R ohms is physically cut into two exact halves which are then rewound in parallel. The resistance and inductance of the combination area)R and Lb)R/2 and L/2c)R/4 and L/4d)2R and 2LCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A long uniform coil of a inductance L henries and associated resistance R ohms is physically cut into two exact halves which are then rewound in parallel. The resistance and inductance of the combination area)R and Lb)R/2 and L/2c)R/4 and L/4d)2R and 2LCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Electrical Engineering (EE) tests.
Explore Courses for Electrical Engineering (EE) exam

Top Courses for Electrical Engineering (EE)

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev