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Two infinitely long straight wires lie in the xy-plane along the lines x = ±R. The wire located at x = +R carries a constant current I1 and the wire located at x = -R carries a constant current I2. A circular loop of radius R is suspended with its centre at (0, 0,√3R) and in a plane parallel to the xy-plane. This loop carries a constant current I in the clockwise direction as seen from above the loop. The current in the wire is taken to be positive if it is in the direction. Which of the following statements regarding the magnetic field is (are) true?
  • a)
    If I1 =I2, then cannot be equal to zero at the origin (0, 0,0)
  • b)
    If I1 > 0 and I2 < 0, then B can be equal to zero at the origin (0, 0, 0)
  • c)
    If I1 < 0 and I2 > 0, then B can be equal to zero at the origin (0, 0, 0)
  • d)
    If I1 = I2, then the z-component of the magnetic field at the centre of the loop is 
Correct answer is option 'A,B,D'. Can you explain this answer?
Verified Answer
Two infinitely long straight wires lie in the xy-plane along the lines...
The given condition is represented by the figure as shown below:

(A) Due to two straight wires, the magnetic field at origin is zero because both the wires are located at same distance from the origin; thus, they cancel out magnetic field of each other. Therefore, only the magnetic field due to the circular loop act on the origin and its direction is in −k . So, the total magnetic field  could not be zero at origin.
(B) When I1 > 0 and I2 < 0 , the magnetic field due to the circular loop acting on the origin and its direction is in −k and the net magnetic field at origin due to both the straight wires is in + k direction. Thus it may be possible that they cancel out and make zero magnetic field at origin.
(C) When I1 < 0 and I2 > 0 , the magnetic field due to the circular loop acting on the origin and its direction is in −k and the net magnetic field at origin due to both the straight wires is in −k direction. So, the total magnetic field cannot be zero at origin.
(D) If I1 =I2 then B1 =B2 , then they cancel out each other at the center of the loop. So, only magnetic field exists due to the circular loop.
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Two infinitely long straight wires lie in the xy-plane along the lines x = ±R. The wire located at x = +R carries a constant current I1 and the wire located at x = -R carries a constant current I2. A circular loop of radius R is suspended with its centre at (0, 0,√3R) and in a plane parallel to the xy-plane. This loop carries a constant current I in the clockwise direction as seen from above the loop. The current in the wire is taken to be positive if it is in the direction. Which of the following statements regarding the magnetic field is (are) true?a)If I1 =I2, then cannot be equal to zero at the origin (0, 0,0)b)If I1> 0 and I2 < 0, then B can be equal to zero at the origin (0, 0, 0)c)If I1 < 0 and I2 > 0, then B can be equal to zero at the origin (0, 0, 0)d)If I1 = I2, then the z-component of the magnetic field at thecentre of the loop isCorrect answer is option 'A,B,D'. Can you explain this answer?
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Two infinitely long straight wires lie in the xy-plane along the lines x = ±R. The wire located at x = +R carries a constant current I1 and the wire located at x = -R carries a constant current I2. A circular loop of radius R is suspended with its centre at (0, 0,√3R) and in a plane parallel to the xy-plane. This loop carries a constant current I in the clockwise direction as seen from above the loop. The current in the wire is taken to be positive if it is in the direction. Which of the following statements regarding the magnetic field is (are) true?a)If I1 =I2, then cannot be equal to zero at the origin (0, 0,0)b)If I1> 0 and I2 < 0, then B can be equal to zero at the origin (0, 0, 0)c)If I1 < 0 and I2 > 0, then B can be equal to zero at the origin (0, 0, 0)d)If I1 = I2, then the z-component of the magnetic field at thecentre of the loop isCorrect answer is option 'A,B,D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Two infinitely long straight wires lie in the xy-plane along the lines x = ±R. The wire located at x = +R carries a constant current I1 and the wire located at x = -R carries a constant current I2. A circular loop of radius R is suspended with its centre at (0, 0,√3R) and in a plane parallel to the xy-plane. This loop carries a constant current I in the clockwise direction as seen from above the loop. The current in the wire is taken to be positive if it is in the direction. Which of the following statements regarding the magnetic field is (are) true?a)If I1 =I2, then cannot be equal to zero at the origin (0, 0,0)b)If I1> 0 and I2 < 0, then B can be equal to zero at the origin (0, 0, 0)c)If I1 < 0 and I2 > 0, then B can be equal to zero at the origin (0, 0, 0)d)If I1 = I2, then the z-component of the magnetic field at thecentre of the loop isCorrect answer is option 'A,B,D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two infinitely long straight wires lie in the xy-plane along the lines x = ±R. The wire located at x = +R carries a constant current I1 and the wire located at x = -R carries a constant current I2. A circular loop of radius R is suspended with its centre at (0, 0,√3R) and in a plane parallel to the xy-plane. This loop carries a constant current I in the clockwise direction as seen from above the loop. The current in the wire is taken to be positive if it is in the direction. Which of the following statements regarding the magnetic field is (are) true?a)If I1 =I2, then cannot be equal to zero at the origin (0, 0,0)b)If I1> 0 and I2 < 0, then B can be equal to zero at the origin (0, 0, 0)c)If I1 < 0 and I2 > 0, then B can be equal to zero at the origin (0, 0, 0)d)If I1 = I2, then the z-component of the magnetic field at thecentre of the loop isCorrect answer is option 'A,B,D'. Can you explain this answer?.
Solutions for Two infinitely long straight wires lie in the xy-plane along the lines x = ±R. The wire located at x = +R carries a constant current I1 and the wire located at x = -R carries a constant current I2. A circular loop of radius R is suspended with its centre at (0, 0,√3R) and in a plane parallel to the xy-plane. This loop carries a constant current I in the clockwise direction as seen from above the loop. The current in the wire is taken to be positive if it is in the direction. Which of the following statements regarding the magnetic field is (are) true?a)If I1 =I2, then cannot be equal to zero at the origin (0, 0,0)b)If I1> 0 and I2 < 0, then B can be equal to zero at the origin (0, 0, 0)c)If I1 < 0 and I2 > 0, then B can be equal to zero at the origin (0, 0, 0)d)If I1 = I2, then the z-component of the magnetic field at thecentre of the loop isCorrect answer is option 'A,B,D'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of Two infinitely long straight wires lie in the xy-plane along the lines x = ±R. The wire located at x = +R carries a constant current I1 and the wire located at x = -R carries a constant current I2. A circular loop of radius R is suspended with its centre at (0, 0,√3R) and in a plane parallel to the xy-plane. This loop carries a constant current I in the clockwise direction as seen from above the loop. The current in the wire is taken to be positive if it is in the direction. Which of the following statements regarding the magnetic field is (are) true?a)If I1 =I2, then cannot be equal to zero at the origin (0, 0,0)b)If I1> 0 and I2 < 0, then B can be equal to zero at the origin (0, 0, 0)c)If I1 < 0 and I2 > 0, then B can be equal to zero at the origin (0, 0, 0)d)If I1 = I2, then the z-component of the magnetic field at thecentre of the loop isCorrect answer is option 'A,B,D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Two infinitely long straight wires lie in the xy-plane along the lines x = ±R. The wire located at x = +R carries a constant current I1 and the wire located at x = -R carries a constant current I2. A circular loop of radius R is suspended with its centre at (0, 0,√3R) and in a plane parallel to the xy-plane. This loop carries a constant current I in the clockwise direction as seen from above the loop. The current in the wire is taken to be positive if it is in the direction. Which of the following statements regarding the magnetic field is (are) true?a)If I1 =I2, then cannot be equal to zero at the origin (0, 0,0)b)If I1> 0 and I2 < 0, then B can be equal to zero at the origin (0, 0, 0)c)If I1 < 0 and I2 > 0, then B can be equal to zero at the origin (0, 0, 0)d)If I1 = I2, then the z-component of the magnetic field at thecentre of the loop isCorrect answer is option 'A,B,D'. Can you explain this answer?, a detailed solution for Two infinitely long straight wires lie in the xy-plane along the lines x = ±R. The wire located at x = +R carries a constant current I1 and the wire located at x = -R carries a constant current I2. A circular loop of radius R is suspended with its centre at (0, 0,√3R) and in a plane parallel to the xy-plane. This loop carries a constant current I in the clockwise direction as seen from above the loop. The current in the wire is taken to be positive if it is in the direction. Which of the following statements regarding the magnetic field is (are) true?a)If I1 =I2, then cannot be equal to zero at the origin (0, 0,0)b)If I1> 0 and I2 < 0, then B can be equal to zero at the origin (0, 0, 0)c)If I1 < 0 and I2 > 0, then B can be equal to zero at the origin (0, 0, 0)d)If I1 = I2, then the z-component of the magnetic field at thecentre of the loop isCorrect answer is option 'A,B,D'. Can you explain this answer? has been provided alongside types of Two infinitely long straight wires lie in the xy-plane along the lines x = ±R. The wire located at x = +R carries a constant current I1 and the wire located at x = -R carries a constant current I2. A circular loop of radius R is suspended with its centre at (0, 0,√3R) and in a plane parallel to the xy-plane. This loop carries a constant current I in the clockwise direction as seen from above the loop. The current in the wire is taken to be positive if it is in the direction. Which of the following statements regarding the magnetic field is (are) true?a)If I1 =I2, then cannot be equal to zero at the origin (0, 0,0)b)If I1> 0 and I2 < 0, then B can be equal to zero at the origin (0, 0, 0)c)If I1 < 0 and I2 > 0, then B can be equal to zero at the origin (0, 0, 0)d)If I1 = I2, then the z-component of the magnetic field at thecentre of the loop isCorrect answer is option 'A,B,D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Two infinitely long straight wires lie in the xy-plane along the lines x = ±R. The wire located at x = +R carries a constant current I1 and the wire located at x = -R carries a constant current I2. A circular loop of radius R is suspended with its centre at (0, 0,√3R) and in a plane parallel to the xy-plane. This loop carries a constant current I in the clockwise direction as seen from above the loop. The current in the wire is taken to be positive if it is in the direction. Which of the following statements regarding the magnetic field is (are) true?a)If I1 =I2, then cannot be equal to zero at the origin (0, 0,0)b)If I1> 0 and I2 < 0, then B can be equal to zero at the origin (0, 0, 0)c)If I1 < 0 and I2 > 0, then B can be equal to zero at the origin (0, 0, 0)d)If I1 = I2, then the z-component of the magnetic field at thecentre of the loop isCorrect answer is option 'A,B,D'. Can you explain this answer? tests, examples and also practice JEE tests.
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