JEE Main Physics · Magnetism PYQ
JEE Main Magnetism & Moving Charges PYQ (2002–2025)
Magnetism & Moving Charges is a P1 Electromagnetism chapter — ~5% JEE Main weightage with 1–2 questions per session. Numerical-heavy and vector-driven, builds on Electrostatics and bridges into EMI/AC. Biot-Savart and Ampere's law calculations recur year-on-year.
Magnetism PYQs from 2002 to 2025 tagged by sub-topic (force on charge, force on current, magnetic field from sources, cyclotron, galvanometer). Every solution includes the vector setup.
Magnetism & Moving Charges at a Glance
Key Sub-Topics & What's Tested
Magnetic Force on Charge
F = qv × B, motion of charged particle in uniform B field (circular path), radius r = mv/(qB), time period T = 2πm/(qB).
Magnetic Force on Current-Carrying Conductor
F = IL × B, force between two parallel current-carrying wires (F/L = μ₀I₁I₂/(2πd)).
Biot-Savart Law
dB = (μ₀/4π) × (I dl × r̂)/r², applications: B at centre of circular loop, B on axis of loop, B due to straight wire.
Ampere's Circuital Law
∮B·dl = μ₀I_enc, applications: B due to infinite wire, solenoid (B = μ₀nI), toroid.
Magnetic Field due to Solenoid / Toroid
Solenoid interior: B = μ₀nI uniform; outside ≈ 0. Toroid: B = μ₀NI/(2πr). Both derivable from Ampere's law.
Cyclotron
Frequency f = qB/(2πm), kinetic energy at exit K = q²B²R²/(2m), independent of charge speed at injection.
Magnetic Dipole
Torque τ = m × B, potential energy U = -m·B, m = IA for current loop, Bar magnet as dipole.
Moving Coil Galvanometer
Current sensitivity (θ/I), voltage sensitivity, conversion to ammeter (shunt) and voltmeter (high series resistance).
Question Type Distribution
| Question Type | Share (approx) | Example Pattern |
|---|---|---|
| Magnetic Force Calculation | 25% | Find force on a wire of length 1m carrying 5A current in a 0.2T field perpendicular to wire. |
| Circular Motion in B-Field | 20% | Electron enters a 0.5T field perpendicular to velocity — find radius of circular path. |
| Biot-Savart Application | 15% | Find magnetic field at centre of a circular loop of radius R carrying current I. |
| Ampere's Law Application | 15% | Find B inside a solenoid with n turns/m carrying current I. |
| Cyclotron Problem | 10% | Find the frequency of cyclotron for proton in a 1T field. |
| Galvanometer Conversion | 15% | Galvanometer has full-scale deflection at 10mA, resistance 100Ω — find shunt for 1A ammeter. |
How to Solve Magnetism & Moving Charges PYQs
- 1Master the three field-source formulas. Circular loop at centre: B = μ₀I/(2R). Infinite wire: B = μ₀I/(2πd). Solenoid: B = μ₀nI. Know all three exactly.
- 2Use right-hand rule consistently. F = qv × B direction: right-hand rule with fingers v → B → F. Wrong direction is the #1 magnetism mistake.
- 3Circular motion: r = mv/(qB). For charged particle in perpendicular B, the radius formula alone handles most cyclic-motion PYQs.
- 4Ampere's law needs symmetry. Apply only when you can find a closed path where B is uniform and tangential. For non-symmetric cases, use Biot-Savart.
- 5Galvanometer conversion: current in shunt = full-scale current × resistance ratio. Master the shunt/series resistor formulas — standard template.
Common Mistakes That Cost Marks
- Missing vector nature of F = qv × B. Force is perpendicular to both v and B. If v ∥ B (parallel), F = 0 (no force on charge moving along field).
- Wrong radius formula in non-uniform fields. r = mv/(qB) only works for uniform perpendicular B. Non-perpendicular gives helical motion.
- Confusing μ₀ in CGS vs SI units. Always use SI: μ₀ = 4π × 10⁻⁷ T·m/A. Don't mix with CGS formulas.
- Applying Ampere's law without closed path. The integral is ∮B·dl around a closed loop. Open paths don't qualify.
- Galvanometer shunt confusion. For ammeter, shunt is in parallel (to divert large current). For voltmeter, high resistance is in series. Don't swap.
Related JEE Main Practice
Frequently asked questions
How many Magnetism PYQs should I solve?
Target 60–80 PYQs across 2010–2025. ~5% weightage with high template repeat — focused practice reaches strong accuracy in ~40 hours.
Is Magnetism harder than Electrostatics?
Slightly — adds vector/cross product complexity. Electrostatics is dot products; Magnetism is cross products with right-hand rule. But templates are similar. Master Electrostatics first, then Magnetism follows.
Do I need to memorise cyclotron formulas?
Yes — f = qB/(2πm), K_exit = q²B²R²/(2m). These appear directly in 2-3 PYQs per decade. Short chapter, easy to memorise.
What's the most-tested Magnetism PYQ pattern?
Charged particle in perpendicular magnetic field — circular motion problems. Appears in 4-5 PYQs per 10-year window. Master r = mv/(qB).
Does Magnetism connect with EMI/AC?
Yes — EMI is about changing magnetic flux induced EMF. Strong Magnetism fluency directly accelerates EMI problem-solving.
Are magnetic materials (para/dia/ferro) tested?
Minimally in JEE Main — 1 PYQ per 4-5 years on material classification. Focus on field-from-current problems and magnetic force problems.
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