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Moving Charges And Magnetism

Question

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State Ampere's circuital law and give it's mathematical formulation.

Solution

Ampere's circuital law states that, the line integral of magnetic field induction $\overset{⇀}{B}$ around a closed path in vacuum is equal to $μ_{o}$ times the total current passing through the closed path .

Mathematically,
$\oint B . d l = μ_{o} I$

Some More Questions From Moving Charges And Magnetism Chapter

Two moving coil meters, M₁ and M₂ have the following particulars:
R₁ = 10 Ω N₁ = 30,
A₁ = 3.6 x 10^–3 m², B₁ = 0.25 T
R₂ = 14 Ω; N₂ = 42,
A₂ = 1.8 x 10^–3 m², B₂ = 0.50 T
(The spring constants k are identical for the two meters).
Determine the ratio of (a) current sensitivity and (b) voltage sensitivity of M₂ and M_1.

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