All Courses
Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity Get the App Login Join for Free
Sign in Open App
Class 12 Exam  >  Class 12 Questions  >  Two wire loops PQRSP formed by joining two se... Start Learning for Free
SaveJoin the Discussion on the App
Two wire loops PQRSP formed by joining two semicircular wires of radii R1 and R2 carries a current I as shown in (fig.) The magnitude of the magnetic induction at the centre C is ........
  • a)
  • b)
  • c)
  • d)
    none of these
Correct answer is option 'A'. Can you explain this answer?
FREE This question is part of
Download PDF Attempt Test
Download PDF Attempt this Test
Verified Answer
Two wire loops PQRSP formed by joining two semicircular wires of radii...
Magnetic field at the centre of a coil  Bc​=μo​IN​/2r
where N is the number of turns.
For semi-circular coil N=0.5
So, magnetic field at C due to semi-circular coil of radius R1​,
B1​=​ μo​I(0.5)/2R1​=​μo​I​/4R1  out of plane of paper
So, magnetic field at C due to semi-circular coil of radius R2​,
B2​=​μo​I(0.5)/2R2​=​μo​I​/4R2  into the plane of paper
Magnetic field at C due to section SR and PQ is zero.
So net magnetic field at C   Bnet​=B1​−B2​=(μo​I/4)​[(1/R1)​​−(1/R2​)​]
View all questions of this test
Most Upvoted Answer
Two wire loops PQRSP formed by joining two semicircular wires of radii...
Magnetic field at the centre of a coil  Bc​=μo​IN​/2r
where N is the number of turns.
For semi-circular coil N=0.5
So, magnetic field at C due to semi-circular coil of radius R1​,
B1​=​ μo​I(0.5)/2R1​=​μo​I​/4R1  out of plane of paper
So, magnetic field at C due to semi-circular coil of radius R2​,
B2​=​μo​I(0.5)/2R2​=​μo​I​/4R2  into the plane of paper
Magnetic field at C due to section SR and PQ is zero.
So net magnetic field at C   Bnet​=B1​−B2​=(μo​I/4)​[(1/R1)​​−(1/R2​)​]
Free Test
FREE
Start Free Test
Start Free Test
Community Answer
Two wire loops PQRSP formed by joining two semicircular wires of radii...
< Previous Question Next Question >
Explore Courses for Class 12 exam

Similar Class 12 Doubts

Read the following text and answer the following questions on the basis of the same:Super magnet The term super magnet is a broad term and encompasses several families of rare-earth magnets that include seventeen elements in the periodic table; namely scandium, yttrium, and the fifteen lanthanides. These elements can be magnetized, but have Curie temperatures below room temperature. This means that in their pure form, their magnetism only appears at low temperatures. However, when they form compounds with transition metals such as iron, nickel, cobalt, etc. Curie temperature rises well above room temperature and they can be used effectively at higher temperatures as well. The main advantage they have over conventional magnets is that their greater strength allows for smaller, lighter magnets to be used. Super magnets are of two categories:(i) Neodymium magnet: These are made from an alloy of neodymium, iron, and boron. This material is currently the strongest known type of permanent magnet. It is typically used in the construction of head actuators in computer hard drives and has many electronic applications, such as electric motors, appliances, and magnetic resonance imaging (MRI).(ii) Samarium-cobalt magnet: These are made from an alloy of samarium and cobalt. This second strongest type of rare Earth magnet is also used in electronic motors, turbo-machinery, and because of its high temperature range tolerance may also have many applications for space travel, such as cryogenics and heat resistant machinery. Rare-earth magnets are extremely brittle and also vulnerable to corrosion, so they are usually plated or coated to protect them from breaking, chipping, or crumbling into powder. Since super magnets are about 10 times stronger than ordinary magnets, safe distance should be maintained otherwise these may damage mechanical watch, CRT monitor, pacemaker, credit cards, magnetically stored media etc. These types of magnets are hazardous for health also. The greater force exerted by rare-earth magnets creates hazards that are not seen with other types of magnet. Magnets larger than a few centimeters are strong enough to cause injuries to body parts pinched between two magnets or a magnet and a metal surface, even causing broken bones. Neodymium permanent magnets lose their magnetism 5% every 100 years. So, in the truest sense Neodymium magnets may be considered as a permanent magnet.Neodymium and Samarium are

Read the following text and answer the following questions on the basis of the same: Super magnet The term super magnet is a broad term and encompasses several families of rare-earth magnets that include seventeen elements in the periodic table; namely scandium, yttrium, and the fifteen lanthanides. These elements can be magnetized, but have Curie temperatures below room temperature. This means that in their pure form, their magnetism only appears at low temperatures. However, when they form compounds with transition metals such as iron, nickel, cobalt, etc. Curie temperature rises well above room temperature and they can be used effectively at higher temperatures as well. The main advantage they have over conventional magnets is that their greater strength allows for smaller, lighter magnets to be used. Super magnets are of two categories: (i) Neodymium magnet: These are made from an alloy of neodymium, iron, and boron. This material is currently the strongest known type of permanent magnet. It is typically used in the construction of head actuators in computer hard drives and has many electronic applications, such as electric motors, appliances, and magnetic resonance imaging (MRI). (ii) Samarium-cobalt magnet: These are made from an alloy of samarium and cobalt. This second strongest type of rare Earth magnet is also used in electronic motors, turbo-machinery, and because of its high temperature range tolerance may also have many applications for space travel, such as cryogenics and heat resistant machinery. Rare-earth magnets are extremely brittle and also vulnerable to corrosion, so they are usually plated or coated to protect them from breaking, chipping, or crumbling into powder. Since super magnets are about 10 times stronger than ordinary magnets, safe distance should be maintained otherwise these may damage mechanical watch, CRT monitor, pacemaker, credit cards, magnetically stored media etc. These types of magnets are hazardous for health also. The greater force exerted by rare-earth magnets creates hazards that are not seen with other types of magnet. Magnets larger than a few centimeters are strong enough to cause injuries to body parts pinched between two magnets or a magnet and a metal surface, even causing broken bones. Neodymium permanent magnets lose their magnetism 5% every 100 years. So, in the truest sense Neodymium magnets may be considered as a permanent magnet.Neodymium permanent magnets lose their magnetism ____ % every 100 years.

Two wire loops PQRSP formed by joining two semicircular wires of radii R1 and R2 carries a current I as shown in (fig.) The magnitude of the magnetic induction at the centre C is ........a)b)c)d)none of theseCorrect answer is option 'A'. Can you explain this answer?
Question Description
Two wire loops PQRSP formed by joining two semicircular wires of radii R1 and R2 carries a current I as shown in (fig.) The magnitude of the magnetic induction at the centre C is ........a)b)c)d)none of theseCorrect answer is option 'A'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about Two wire loops PQRSP formed by joining two semicircular wires of radii R1 and R2 carries a current I as shown in (fig.) The magnitude of the magnetic induction at the centre C is ........a)b)c)d)none of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two wire loops PQRSP formed by joining two semicircular wires of radii R1 and R2 carries a current I as shown in (fig.) The magnitude of the magnetic induction at the centre C is ........a)b)c)d)none of theseCorrect answer is option 'A'. Can you explain this answer?.
Solutions for Two wire loops PQRSP formed by joining two semicircular wires of radii R1 and R2 carries a current I as shown in (fig.) The magnitude of the magnetic induction at the centre C is ........a)b)c)d)none of theseCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 12. Download more important topics, notes, lectures and mock test series for Class 12 Exam by signing up for free.
Here you can find the meaning of Two wire loops PQRSP formed by joining two semicircular wires of radii R1 and R2 carries a current I as shown in (fig.) The magnitude of the magnetic induction at the centre C is ........a)b)c)d)none of theseCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Two wire loops PQRSP formed by joining two semicircular wires of radii R1 and R2 carries a current I as shown in (fig.) The magnitude of the magnetic induction at the centre C is ........a)b)c)d)none of theseCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for Two wire loops PQRSP formed by joining two semicircular wires of radii R1 and R2 carries a current I as shown in (fig.) The magnitude of the magnetic induction at the centre C is ........a)b)c)d)none of theseCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of Two wire loops PQRSP formed by joining two semicircular wires of radii R1 and R2 carries a current I as shown in (fig.) The magnitude of the magnetic induction at the centre C is ........a)b)c)d)none of theseCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Two wire loops PQRSP formed by joining two semicircular wires of radii R1 and R2 carries a current I as shown in (fig.) The magnitude of the magnetic induction at the centre C is ........a)b)c)d)none of theseCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice Class 12 tests.
Explore Courses for Class 12 exam
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
Get App
© EduRev
Education Revolution
Signup to see your scores go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup