In Q. 37, the value of B at a point 3 cm from the axis between the plates will be (A) 1.63 ×10^

step 1 In this problem I can write the value of b0 is equal to mu not, id, peak, multiplication r by 2

In Q. 37, the value of B at a point 3 cm from the axis...

In Q. 37, the value of $B$ at a point $3 \mathrm{~cm}$ from the axis between the plates will be
(A) $1.63 \times 10^{-8} \mathrm{~T}$
(B) $1.63 \times 10^{-9} \mathrm{~T}$
(C) $1.63 \times 10^{-10} \mathrm{~T}$
(D) $1.63 \times 10^{-11} \mathrm{~T}$

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Key Concepts

Ampere's Law

Ampere's Law relates the magnetic field around a closed loop to the net electric current passing through that loop. In problems with symmetrical current distributions or in situations where displacement current is present (as in a capacitor gap), this law provides a powerful tool to evaluate the magnetic field along a chosen path.

Displacement Current

Displacement current is an added term introduced by Maxwell to extend Ampere’s Law for time-varying electric fields. It accounts for the changing electric flux, particularly in regions where there is no physical flow of charges, such as the gap between capacitor plates during charging, and thus contributes to the generation of a magnetic field.

Magnetic Field Calculation Methods

The determination of the magnetic field at a specific point often involves methods such as the Biot–Savart Law or the application of symmetry via Ampere's Law. These approaches allow for the integration of contributions from various current elements or displacement current effects, enabling a precise evaluation of the field strength at locations away from the axis.

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