TS EAMCET · Physics · Magnetic Properties of Matter

Figure below shows three circuits consisting of concentric circular arcs and straight radial lines. The center of the circle is shown by the dot. Same current flows through each of the circuits. If $B_{1}, B_{2}, B_{3}$ are the magnitudes of the magnetic field at the center. Which of the following is true?

A $B_{1} > B_{2} > B_{3}$
B $B_{1} > B_{3} > B_{2}$
C $B_{3} > B_{1} > B_{2}$
D $B_{3} > B_{2} > B_{1}$

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Answer & Solution

Correct Answer

(B) $B_{1} > B_{3} > B_{2}$

Step-by-step Solution

Detailed explanation

In B2 direction of the magnetic field due to elements of radius r and 3r are in the opposite direction so the net magnetic field will be less as compared to the magnetic field of B1 and B2. The magnetic field is inversely proportional to distance. As the distance in the first…

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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Figure below shows three circuits consisting of concentric circular arcs and straight radial lines. The center of the circle is shown by the dot. Same current flows through each of the circuits. If B1,B2,B3 are the magnitudes of the magnetic field at the center. Which of the following is true?

Step-by-step Solution