NEET · Physics —

Moving Charges and Magnetism appeared 3 times across 1 year — 6.7% of Physics. This question is from Magnetic Field on the Axis of a Circular Current Loop.

Year 2024 Total
Questions 3 3

A 100-turn closely wound circular coil of radius 5 ~cm has a magnetic field 3.14 × 10⁻³ ~T at its centre. The current flowing through the coil, and the magnitude of the magnetic moment of the coil are, respectively - (Take μ₀ = 4π × 10⁻⁷ ~Tm/A)

Solution & Explanation

Related Formula
B₀ = (μ₀ N i)/(2 R) M = N i A = N i π R²
Core Logic

First, calculate the current i using the magnetic field formula for a circular loop:

i = (2 R B₀)/(μ₀ N)

Substitute the given values: R = 5 × 10⁻² ~m B₀ = 3.14 × 10⁻³ ~T N = 100

i = 2 × 5 × 10⁻² × 3.14 × 10⁻³4π × 10⁻⁷ × 100

Using π ≈ 3.14, we get:

i = 10 × 10⁻² × π × 10⁻³4π × 10⁻⁵ = 10⁻⁴4 × 10⁻⁵ = 2.5 ~A
Step 1: Calculate Magnetic Moment

Now, compute the magnetic moment M:

M = N i π R²

M = 100 × 2.5 × 3.14 × (5 × 10⁻²)² M = 250 × 3.14 × 25 × 10⁻⁴ M = 6250 × 3.14 × 10⁻⁴ ≈ 2 ~Am²
Pattern Recognition

Recognize that π ≈ 3.14 cancels out nicely when substituted directly against the given magnetic field value.

Chapter Mix

Class 12 Physics: Moving Charges and Magnetism

Reference Study Guides

More Moving Charges and Magnetism Previous-Year Questions

Q8 neet_2026_03_may_morning Ampere's Circuital Law
The figure given below shows a long straight solid wire of circular cross-section of radius 'a' carrying steady current I. The current I is uniformly distributed across its cross-section. The plot which correctly represents the variation of magnetic field (B) with distance (r) from the axis of the conductor in the region is
Cross-section of a long straight solid wire of radius 'a' for Q8 - NEET 2026 Code 12
Cross section showing radius a for a steady current wire.
  • A. Option 1
  • B. Option 2
  • C. Option 3
  • D. Option 4

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

Q12 neet_2026_03_may_morning Conversion of Galvanometer to Ammeter
A galvanometer of resistance 100Ω gives full scale deflection for a current of 1 ~mA. It is converted into an ammeter of range 0--10 ~A. The shunt required is:
  • A. 0.01Ω
  • B. 0.10Ω
  • C. 0.001Ω
  • D. 1.0Ω

Solution

Related Formula
IS RS = IG RG RS = (IG RG)/(I - IG)
Core Logic

Given: Galvanometer resistance RG = 100 Ω Full scale deflection current IG = 1 ~mA = 0.001 ~A Target range current I = 10 ~A

The shunt resistance RS is connected in parallel with the galvanometer. Since they are in parallel, the potential difference across them is equal.

VS = VG

(I - IG)RS = IG RG

Because IG (0.001 ~A) is very small compared to I (10 ~A), we can approximate (I - IG) ≈ I = 10 ~A.

Step 1: Calculate Shunt Resistance
10 × RS = 0.001 × 100 10 × RS = 0.1 RS = (0.1)/(10) = 0.01 Ω
Pattern Recognition

Ammeter conversion relies heavily on the fact that the vast majority of current passes through the very low resistance shunt parallel path.

Chapter Mix

Class 12 Physics: Moving Charges and Magnetism

More Moving Charges and Magnetism Questions — neet_2026_03_may_morning

Practice all Moving Charges and Magnetism previous-year questions →

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JEE Physics: Waves (+15.5%) | Electrostatics: Concentric Shells (-29.7%) | Modern Physics: Photoelectric Clones (+34.2%) | Mathematics: Definite Integrals (+18.1%) | Chemistry: Coordination Splitting (-11.4%) | JEE Physics: Waves (+15.5%) | Electrostatics: Concentric Shells (-29.7%) | Modern Physics: Photoelectric Clones (+34.2%) | Mathematics: Definite Integrals (+18.1%) | Chemistry: Coordination Splitting (-11.4%)