What is Magnetic Flux? Meaning, Formula and SI Unit (Weber)

Physics · Electromagnetic Induction · NEET

Magnetic flux is the total amount of magnetic field passing straight through a surface. Its formula is Φ = BA cosθ, where B is the field strength, A is the area, and θ is the angle between B and the area's normal (the line sticking straight out of the surface). Its SI unit is the weber (Wb), where 1 Wb = 1 T·m². Memory hook: flux = "how many field lines poke through the loop" — more lines through it means more flux.
Magnetic flux: field lines through a loop, Φ = BA cosθB (field lines)Loop (area A), normal along Bnormal nθ = 0 hereΦ = B A cosθθ from B to the normal nθ = 0 → Φ = BA (maximum)θ = 90° → Φ = 0 (no lines through)Unit: weber (Wb) = T·m²
Magnetic flux counts the field lines poking through the loop. Here B is along the loop's normal (θ = 0), so flux is maximum, Φ = BA. If the loop were turned flat along B (θ = 90°), no lines pass through and Φ = 0.

Your doubts, answered

Is magnetic flux the same thing as the magnetic field B?

No. The magnetic field B (also called flux density) tells you how strong the field is at one point, measured in tesla (T). Magnetic flux Φ is the field spread over an area — it is B multiplied by the area the field passes through, measured in weber (Wb). Think of B as 'how heavy the rain is' and flux as 'how much rain falls on the whole bucket'. A strong field over a tiny area can give the same flux as a weak field over a large area.

Why is there a cosθ in Φ = BA cosθ? What angle is θ?

Only the part of the field that goes straight through the surface counts as flux. θ is the angle between the field B and the normal (the arrow pointing straight out of the surface), NOT the angle with the surface itself. When B is straight through (θ = 0), cos 0 = 1 and flux is maximum. When B is parallel to the surface, it grazes along it and no lines poke through, so θ = 90°, cos 90° = 0, and flux is zero. This is the most common NEET trap.

Why is the SI unit weber and not tesla?

Tesla is the unit of the magnetic field B (field per unit area). Weber is the unit of flux, which is field times area. So 1 weber = 1 tesla × 1 metre² = 1 T·m². In NEET, if a value is in Wb it is a flux; if it is in T it is a field. Never write flux in tesla — that is a marking mistake.

Can magnetic flux be zero even when the field is strong?

Yes. If the loop lies flat along the field lines (plane parallel to B), the field skims across the loop and nothing passes through it, so Φ = BA cos 90° = 0, no matter how strong B is. Flux depends on B, area, AND the angle. This is why 'no lines through the loop' means zero flux, not zero field.

⚠️ The NEET trap
The problem says 'plane of the loop is perpendicular to B', so students set θ = 90° and get Φ = BA cos 90° = 0.
θ is measured from the NORMAL to the surface, not the plane. If the plane is perpendicular to B, then the normal is along B, so θ = 0 and Φ = BA cos 0 = BA (maximum).
🧠 Always ask: what is the angle between B and the arrow poking OUT of the surface — never the surface itself.

Real NEET questions

2022

A square loop of side 1 m and resistance 1 Ω is placed in a magnetic field of 0.5 T. If the plane of the loop is perpendicular to the direction of the magnetic field, the magnetic flux through the loop is:

A · 2 weber
B · 0.5 weber
C · 1 weber
D · Zero weber
Solution: Step 1 — Formula: Φ = BA cosθ, where θ is the angle between B and the area normal. Step 2 — Find θ: 'Plane of loop perpendicular to B' means B points along the normal, so θ = 0° and cosθ = 1. (Trap: it is NOT 90°.) Step 3 — Find area: side = 1 m, so A = 1 × 1 = 1 m². Step 4 — Put values: Φ = 0.5 × 1 × 1 = 0.5 Wb. The resistance (1 Ω) is extra information, not needed for flux. Answer: B (0.5 weber).

Solved Electromagnetic Induction NEET PYQs

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Frequently asked

What is magnetic flux in simple words?

It is the number of magnetic field lines passing straight through a given area. More lines through the surface means more flux. Its formula is Φ = BA cosθ.

What is the SI unit of magnetic flux?

The weber (Wb). One weber equals one tesla times one square metre, so 1 Wb = 1 T·m². It is named after Wilhelm Weber.

What is the formula for magnetic flux?

Φ = B·A = BA cosθ, where B is the magnetic field, A is the area, and θ is the angle between B and the normal to the surface.

Is magnetic flux a scalar or a vector?

Magnetic flux is a scalar quantity. Even though B and A are vectors, flux is their dot product (B·A), which gives a single number that can be positive, negative, or zero.

Why is magnetic flux important for NEET?

Faraday's law says induced EMF equals the rate of change of flux. So every electromagnetic induction problem — EMF, Lenz's law, inductance — starts by finding the flux correctly.