An electric field of 300 V / m is confined to a circular area 10 cm in diameter. If the field

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An electric field of 300 V / m is confined to a circular...

An electric field of $300 \mathrm{~V} / \mathrm{m}$ is confined to a circular area $10 \mathrm{~cm}$ in diameter. If the field is increasing at the rate of $20 \mathrm{~V} / \mathrm{m}-\mathrm{s}$, the magnitude of magnetic field at a point $15 \mathrm{~cm}$ from the centre of the circle will be (A) $1.85 \times 10^{-15} \mathrm{~T}$ (B) $1.85 \times 10^{-16} \mathrm{~T}$ (C) $1.85 \times 10^{-17} \mathrm{~T}$ (D) $1.85 \times 10^{-18} \mathrm{~T}$

An electric field of $300 \mathrm{~V} / \mathrm{m}$ is confined to a circular area $10 \mathrm{~cm}$ in diameter. If the field is increasing at the rate of $20 \mathrm{~V} / \mathrm{m}-\mathrm{s}$, the magnitude of magnetic field at a point $15 \mathrm{~cm}$ from the centre of the circle will be
(A) $1.85 \times 10^{-15} \mathrm{~T}$
(B) $1.85 \times 10^{-16} \mathrm{~T}$
(C) $1.85 \times 10^{-17} \mathrm{~T}$
(D) $1.85 \times 10^{-18} \mathrm{~T}$

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Key Concepts

Ampere?Maxwell Law

This law is an extension of Ampere’s circuital law and incorporates the effect of a time-varying electric field by including the displacement current term. It explains how both conduction currents and changing electric fields produce a magnetic field, making it pivotal in understanding electromagnetic fields in dynamic situations.

Displacement Current

Displacement current is not a true current of moving charges but rather a term introduced by Maxwell to account for the effect of a time-varying electric field in regions where there is no conduction current. It ensures the continuity of current in Maxwell's equations and plays a key role in the propagation of electromagnetic fields.

Electromagnetic Induction

Electromagnetic induction is the process by which a time-varying magnetic field produces an electric field, and vice versa. This fundamental concept underpins the interplay between electric and magnetic fields as described by Maxwell's equations, and it is essential for analyzing how changing fields give rise to secondary fields in various configurations.

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