Magnetic Field Due to a Straight Wire – Complete Notes, Revision, Important Questions & Downloads
Magnetic Field Due to a Straight Wire packages General Formula and Special Cases into one usable family: finite wire, infinite wire, semi-infinite wire, axial point, and field inside or outside cylindrical conductors. NEET tests this topic through direct substitution in the standard formula, deciding the correct limiting case, and comparing field variation inside solid or hollow conductors. For example, once a long wire is treated as effectively infinite, the field varies directly with current and inversely with perpendicular distance, so doubling the distance halves the field.
NEET Weightage & Exam Pattern
Magnetic Effect of Current| NEET Year | Questions from this Topic | Bar | Marks |
|---|---|---|---|
| 2024 | 1 | 4 | |
| 2023 | 2 | 8 | |
| 2022 | 1 | 4 | |
| 2021 | 1 | 4 | |
| 2020 | 2 | 8 | |
| Topic Weightage | 7 | 28 |
NEET also checks whether the student can recognise when the semi-infinite or axial-position case should replace the infinite-wire formula.
Uniform current distribution inside solid and hollow cylinders is a common extension that tests Ampere-law reasoning instead of rote substitution.
Preparation Strategy
Identify the Wire Geometry First Before writing any formula, decide whether the conductor is finite, effectively infinite, semi-infinite, or a cylindrical current distribution. Most mistakes happen before algebra starts because the wrong case is chosen.
Track the Perpendicular Distance The field depends on the shortest perpendicular distance from the point to the wire, not simply on any labelled length in the figure. In NEET diagrams, mixing the actual perpendicular with some oblique segment is a standard trap.
Separate Inside and Outside Cylinder Results Outside a wire or cylinder, the field behaves like that of a long straight conductor carrying the total current. Inside a solid conductor, the enclosed current changes with radius; inside a hollow cylinder, the field can be zero in the hollow part.
Download Topic Notes
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Quick Revision
Concept → Trap → Example1) General Formula and Special Cases
Wire ResultsFor a straight wire, the general field uses the angle form with the two end angles. It reduces to the infinite-wire result mu0 I divided by 2 pi r, the semi-infinite result mu0 I divided by 4 pi r, and zero at an axial point.
- Use the full angle-based formula when the wire is finite and the observation point sees different end angles.
- For a very long wire near its middle, both end angles become ninety degrees and the standard infinite-wire result follows immediately.
- Trap: applying the infinite-wire formula to an end-point geometry where one of the limiting angles is actually zero.
US Curriculum Gaps
Note for NRI/OCI students studying abroad.Finite-Wire Angle Form
Many school courses emphasise only the infinite-wire limit, whereas NEET can still test the finite-wire angle expression and ask students to identify the correct limiting geometry.
- reading end angles correctly
- reducing the finite result to infinite or semi-infinite cases
Current Distribution Inside Conductors
Questions on solid, hollow, and thick hollow cylinders require enclosed-current reasoning that is often skipped in lighter introductory treatments.
- uniform current density assumption
- field zero in the hollow region
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Physics Revision Checklist
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Frequently Asked Questions
Notes · Downloads · Revision · Important QuestionsWhat is the safest formula to start with for a straight wire?
Why does the field of a long straight wire vary as 1 over r and not 1 over r squared?
How do I know a wire can be treated as infinite?
Why is the field zero inside the hollow part of a hollow cylinder?
What changes inside a solid cylindrical conductor?
What happens to the field outside any cylindrical conductor carrying total current I?
Why is the axial-position case separated in the textbook?
What is the most common exam trap in this topic?
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