Solution
Related Formula
Binside = (μ₀ I r)/(2π a²) (r < a) Boutside = (μ₀ I)/(2π r) (r > a)Core Logic
For a long straight solid wire carrying a steady current that is uniformly distributed across its cross-section:
- Inside the wire (r < a), the magnetic field is directly proportional to the distance from the axis (B ∝ r). This represents a straight line passing through the origin.
- Outside the wire (r > a), the magnetic field is inversely proportional to the distance from the axis (B ∝ (1)/(r)). This represents a rectangular hyperbola.
Step 1: Graph Identification
The correct graph must show a linear increase starting from the origin up to r=a, followed by a smooth 1/r hyperbolic curve decaying towards zero for r>a. The plot matching this criteria is option 1.
Pattern Recognition
Solid cylinder uniform current: Inside B ∝ r (linear), outside B ∝ 1/r (curve). Hollow cylinder: Inside B = 0, outside B ∝ 1/r.
Chapter Mix
Class 12 Physics: Moving Charges and Magnetism