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A-Level Magnetic fields and flux density from currents, force on a conductor and force on a moving charge

What the A-Level syllabus expects for Magnetic fields and flux density from currents, force on a conductor and force on a moving charge, and how to practise it.

What the syllabus expects

How it's examined

About 5% of the past-paper style questions in Rae's bank for this subject sit in this topic.

Worked examples

Example 1 (2 marks)

A coaxial cable carries high-frequency electrical signals, for instance television signals. The figure shows the usual layered structure of such a cable, with its conductor, insulator, metal braid and plastic jacket having radii r1, r2, r3 and r4. A current I passes one way along the central conductor while an equal current I passes the other way along the metal braid. (a) Write down Ampère's Law in its integral form, defining every symbol you use. [2]

Show the worked answer

Ampere's Law (integral form): the line integral of the magnetic flux density around any closed loop equals the permeability of free space times the net current enclosed by that loop. Closed-loop integral of B . dl = mu_0 * I_enclosed. Here B is the magnetic flux density, dl is a vector element of length along the closed loop, mu_0 is the permeability of free space, and I_enclosed is the net (algebraic) current passing through any surface bounded by the loop.

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