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In using ampere's law to find the magnetic field of a straight long solenoid, the loop(american loop) that is taken is (a) a rectangular loop in a plane perpendicular to the axis of the solenoid (b)a rectangular loop in a plane containing the axis of the solenoid, the loop being totally within the solenoid (c)a rectangular loop in a plane containing the axis of the solenoid, the loop being partly inside the solenoid , and partly outside it . correct option is (c) can you justify it ?
Most Upvoted Answer
In using ampere's law to find the magnetic field of a straight long so...
Justification:
To find the magnetic field of a straight long solenoid using Ampere's law, a rectangular loop in a plane containing the axis of the solenoid is taken. This is the correct option because of the following reasons:
1. Symmetry:
A straight long solenoid has cylindrical symmetry, meaning that it looks the same from any direction along its axis. Taking a rectangular loop in a plane containing the axis of the solenoid allows us to make use of this symmetry and simplify the calculation of the magnetic field.
2. Magnetic Field Outside the Solenoid:
When the rectangular loop is partly outside the solenoid, it allows us to consider the magnetic field only outside the solenoid. The magnetic field inside the solenoid is assumed to be uniform and parallel to the axis of the solenoid, while outside the solenoid the magnetic field is negligible. By considering the loop outside the solenoid, we can ignore the contribution of the magnetic field inside and focus on the field outside.
3. Ampere's Law:
Ampere's law states that the line integral of the magnetic field around a closed loop is equal to the product of the permeability of free space and the current passing through the loop. By taking a rectangular loop in a plane containing the axis of the solenoid, we can simplify the calculation of the line integral. The shape and orientation of the loop align with the symmetry of the solenoid, making the integration easier.
4. Magnetic Field Calculation:
For a solenoid, the magnetic field outside the solenoid is negligible compared to the magnetic field inside. Therefore, by considering a rectangular loop partly inside and partly outside the solenoid, we can calculate the magnetic field inside the solenoid, which is of interest. The contribution of the magnetic field outside the solenoid can be ignored in this case.
In conclusion, the correct option is (c) - a rectangular loop in a plane containing the axis of the solenoid, the loop being partly inside the solenoid and partly outside it. This choice allows us to take advantage of the symmetry of the solenoid, simplify the calculation using Ampere's law, and focus on the magnetic field inside the solenoid.
To find the magnetic field of a straight long solenoid using Ampere's law, a rectangular loop in a plane containing the axis of the solenoid is taken. This is the correct option because of the following reasons:
1. Symmetry:
A straight long solenoid has cylindrical symmetry, meaning that it looks the same from any direction along its axis. Taking a rectangular loop in a plane containing the axis of the solenoid allows us to make use of this symmetry and simplify the calculation of the magnetic field.
2. Magnetic Field Outside the Solenoid:
When the rectangular loop is partly outside the solenoid, it allows us to consider the magnetic field only outside the solenoid. The magnetic field inside the solenoid is assumed to be uniform and parallel to the axis of the solenoid, while outside the solenoid the magnetic field is negligible. By considering the loop outside the solenoid, we can ignore the contribution of the magnetic field inside and focus on the field outside.
3. Ampere's Law:
Ampere's law states that the line integral of the magnetic field around a closed loop is equal to the product of the permeability of free space and the current passing through the loop. By taking a rectangular loop in a plane containing the axis of the solenoid, we can simplify the calculation of the line integral. The shape and orientation of the loop align with the symmetry of the solenoid, making the integration easier.
4. Magnetic Field Calculation:
For a solenoid, the magnetic field outside the solenoid is negligible compared to the magnetic field inside. Therefore, by considering a rectangular loop partly inside and partly outside the solenoid, we can calculate the magnetic field inside the solenoid, which is of interest. The contribution of the magnetic field outside the solenoid can be ignored in this case.
In conclusion, the correct option is (c) - a rectangular loop in a plane containing the axis of the solenoid, the loop being partly inside the solenoid and partly outside it. This choice allows us to take advantage of the symmetry of the solenoid, simplify the calculation using Ampere's law, and focus on the magnetic field inside the solenoid.
Community Answer
In using ampere's law to find the magnetic field of a straight long so...
C) becz. In this case only magnetic field is change
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In using ampere's law to find the magnetic field of a straight long solenoid, the loop(american loop) that is taken is (a) a rectangular loop in a plane perpendicular to the axis of the solenoid (b)a rectangular loop in a plane containing the axis of the solenoid, the loop being totally within the solenoid (c)a rectangular loop in a plane containing the axis of the solenoid, the loop being partly inside the solenoid , and partly outside it . correct option is (c) can you justify it ?
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In using ampere's law to find the magnetic field of a straight long solenoid, the loop(american loop) that is taken is (a) a rectangular loop in a plane perpendicular to the axis of the solenoid (b)a rectangular loop in a plane containing the axis of the solenoid, the loop being totally within the solenoid (c)a rectangular loop in a plane containing the axis of the solenoid, the loop being partly inside the solenoid , and partly outside it . correct option is (c) can you justify it ? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about In using ampere's law to find the magnetic field of a straight long solenoid, the loop(american loop) that is taken is (a) a rectangular loop in a plane perpendicular to the axis of the solenoid (b)a rectangular loop in a plane containing the axis of the solenoid, the loop being totally within the solenoid (c)a rectangular loop in a plane containing the axis of the solenoid, the loop being partly inside the solenoid , and partly outside it . correct option is (c) can you justify it ? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In using ampere's law to find the magnetic field of a straight long solenoid, the loop(american loop) that is taken is (a) a rectangular loop in a plane perpendicular to the axis of the solenoid (b)a rectangular loop in a plane containing the axis of the solenoid, the loop being totally within the solenoid (c)a rectangular loop in a plane containing the axis of the solenoid, the loop being partly inside the solenoid , and partly outside it . correct option is (c) can you justify it ?.
In using ampere's law to find the magnetic field of a straight long solenoid, the loop(american loop) that is taken is (a) a rectangular loop in a plane perpendicular to the axis of the solenoid (b)a rectangular loop in a plane containing the axis of the solenoid, the loop being totally within the solenoid (c)a rectangular loop in a plane containing the axis of the solenoid, the loop being partly inside the solenoid , and partly outside it . correct option is (c) can you justify it ? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about In using ampere's law to find the magnetic field of a straight long solenoid, the loop(american loop) that is taken is (a) a rectangular loop in a plane perpendicular to the axis of the solenoid (b)a rectangular loop in a plane containing the axis of the solenoid, the loop being totally within the solenoid (c)a rectangular loop in a plane containing the axis of the solenoid, the loop being partly inside the solenoid , and partly outside it . correct option is (c) can you justify it ? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In using ampere's law to find the magnetic field of a straight long solenoid, the loop(american loop) that is taken is (a) a rectangular loop in a plane perpendicular to the axis of the solenoid (b)a rectangular loop in a plane containing the axis of the solenoid, the loop being totally within the solenoid (c)a rectangular loop in a plane containing the axis of the solenoid, the loop being partly inside the solenoid , and partly outside it . correct option is (c) can you justify it ?.
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In using ampere's law to find the magnetic field of a straight long solenoid, the loop(american loop) that is taken is (a) a rectangular loop in a plane perpendicular to the axis of the solenoid (b)a rectangular loop in a plane containing the axis of the solenoid, the loop being totally within the solenoid (c)a rectangular loop in a plane containing the axis of the solenoid, the loop being partly inside the solenoid , and partly outside it . correct option is (c) can you justify it ?, a detailed solution for In using ampere's law to find the magnetic field of a straight long solenoid, the loop(american loop) that is taken is (a) a rectangular loop in a plane perpendicular to the axis of the solenoid (b)a rectangular loop in a plane containing the axis of the solenoid, the loop being totally within the solenoid (c)a rectangular loop in a plane containing the axis of the solenoid, the loop being partly inside the solenoid , and partly outside it . correct option is (c) can you justify it ? has been provided alongside types of In using ampere's law to find the magnetic field of a straight long solenoid, the loop(american loop) that is taken is (a) a rectangular loop in a plane perpendicular to the axis of the solenoid (b)a rectangular loop in a plane containing the axis of the solenoid, the loop being totally within the solenoid (c)a rectangular loop in a plane containing the axis of the solenoid, the loop being partly inside the solenoid , and partly outside it . correct option is (c) can you justify it ? theory, EduRev gives you an
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