- Exam
- JEE Advanced
- Year
- 2017
- Paper
- Paper 1
- Subject
- Physics
- Chapter
- Electromagnetic Induction
JEE Advanced 2017 · Paper 1 · Physics · Electromagnetic Induction
A circular insulated copper wire loop is twisted to form two loops...
A circular insulated copper wire loop is twisted to form two loops of area and as shown in the figure. At the point of crossing the wires remain electrically insulated from each other. The entire loop lies in the plane (of the paper). A uniform magnetic field points into the plane of the paper. At , the loop starts rotating about the common diameter as axis with a constant angular velocity in the magnetic field. Which of the following options is/are correct?
Options
- AThe net emf induced due to both the loops is proportional to
- BThe amplitude of the maximum net emf induced due to both the loops is equal to the amplitude of the maximum emf induced in the smaller loop alone
- CThe rate of change of flux is maximum when plane of loop is perpendicular to the plane of paper
- DThe emf induced in the loop is proportional to sum of areas of two loops
Correct answer
B. The amplitude of the maximum net emf induced due to both the loops is equal to the amplitude of the maximum emf induced in the smaller loop alone
Step-by-step solution
When a conducting loop rotating in a magnetic field has an angular velocity , the flux through the loop of area at an angle ,
The induced emf,
So,
So, the emf is maximum when,
Since the emf in the smaller loop will act opposite to that of the larger loop,
So, the amplitude of the maximum net emf is equal to which is same as that in the smaller loop.