What is a Magnetic Field? Dot and Cross Notation Explained

Physics · Moving Charges And Magnetism · NEET

A magnetic field (symbol B) is the region around a magnet or a moving charge where a magnetic force acts. Its SI unit is the tesla (T). In diagrams, a dot means B points OUT of the page toward you, and a cross means B points INTO the page away from you. Memory hook: think of an arrow flying at you, you see its tip (dot); flying away, you see its tail feathers (cross).
Dot and Cross Notation for Magnetic Field BB OUT of page (toward you)dot = arrow tip coming at youB INTO page (away from you)cross = arrow tail going away
Left: a dot means the magnetic field B points out of the page toward you (arrow tip). Right: a cross means B points into the page away from you (arrow tail). These symbols show a vector that is perpendicular to the flat page.

Your doubts, answered

Does a magnetic field affect a charge that is NOT moving?

No. A magnetic field only pushes a charge that is MOVING (and moving across the field, not along it). A charge sitting still feels zero magnetic force. This is the biggest difference from an electric field, which pushes any charge whether it moves or not. Remember: magnetic force needs motion.

What exactly do the dot and the cross mean?

They show the direction of B when it is perpendicular to the paper. A dot (a circle with a point) means the field comes OUT of the page toward your eyes. A cross (a circle with an X) means the field goes INTO the page, away from you. We use these symbols because you cannot draw a straight arrow pointing at or away from a flat page.

Is the tesla a large or small unit?

The tesla is a very LARGE unit. The Earth's magnetic field is only about 3 to 6 x 10^-5 T. A strong lab magnet is about 1 T. So in problems you often see small numbers like 10^-4 T. A smaller unit called the gauss is also used, where 1 T = 10^4 gauss.

What is the difference between magnetic field B and magnetic force?

The magnetic field B is a property of space around a magnet or current; it just exists there. The magnetic force is what a moving charge or a current-carrying wire actually FEELS when it enters that field. B is the cause, force is the effect. In NEET, F = qvB sin(theta) links them.

⚠️ The NEET trap
A stationary electron placed in a magnetic field will be pushed by the field, just like it would be in an electric field.
A stationary charge feels NO magnetic force. The magnetic force is F = qvB sin(theta), and with v = 0 the force is zero. The charge must move across the field to feel a push.
🧠 No motion, no magnetic push. If the exam says the charge is 'at rest', the magnetic force is zero.

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Frequently asked

What is the SI unit of magnetic field?

The SI unit of magnetic field B is the tesla (T). One tesla is a strong field; the Earth's field is only about 10^-5 T. The older unit gauss is also used, with 1 T = 10^4 gauss.

Which way does B point for a dot symbol?

A dot means the magnetic field points straight OUT of the page, toward you. It is like seeing the tip of an arrow coming at your eye.

Which way does B point for a cross symbol?

A cross (X) means the magnetic field points straight INTO the page, away from you. It is like seeing the tail feathers of an arrow moving away from you.

Is magnetic field a vector or scalar?

Magnetic field B is a vector. It has both a magnitude (in tesla) and a direction. That is why we need dot and cross symbols to show its direction when it is perpendicular to the paper.

Why is the magnetic field called B and not M?

By convention in physics, B is the symbol for the magnetic field (also called magnetic flux density). The letter M is usually saved for magnetisation. NEET and NCERT both use B for the magnetic field.