Problem3.4
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This document solves two problems regarding Faraday's and Ampere's laws of electromagnetism. It first finds the magnetic field B that satisfies Faraday's law given an electric field E. It then determines if the same E and B fields satisfy Ampere's law by checking if their electric fields are equal, finding they are not, so the pair do not satisfy both laws.
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Problem3.4
- 1. Problem 3.4 (N.N. Rao, Elements of Engineering Electromagnetics, 6th Edition) Given: ; Find (a)B that satisfies Faraday’s Law in differential form Solution: (b) Determine if the pair of E and B satisfies Ampere’s Circuital Law in differential form Let E’ be the Electric Field of Ampere’s Circuital Law Solution:
- 2. Since the electric fields are not equal, . The pair of fields E and B satisfies only Faraday’s Law, while the pair E’ and B satisfies only Ampere’s Circuital Law. Thus, the answer is no.