use of maxwell's equations to derive electromagnetic wave equation in a conducting medium (magnetic part)
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use of maxwell's equations to derive
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- Consider a 2-coil (active) detector with an alternating current that creates a changing magnetic field in an exciter coil for a metal detector. Which of the following of Maxwell's equations would best describe the detection of the lost coin under the sand at the beach from the detection coil? a. $E.JA = ▪ 9 b. $B JA = 0 -JOB c. $E.al=- at d. §B • Əl = µ₁(I + €0) at Simplify the above equation, if necessary/possible3/29-2)The electromagnetic wave that delivers a cellular phone call to a car has a magnetic field with an rms value of 2.1 x 10-10 T. The wave passes perpendicularly through an open window, the area of which is 0.19 m². How much energy does this wave carry through the window during a 60-s phone call? Number i 14 eTextbook and Media Units
- The Ampère-Maxwell Law Learning Goal: To show that displacement current is necessary to make Ampère's law consistent for a charging capacitor Ampère's law relates the line integral of the magnetic field around a closed loop to the total current passing through that loop. This law was extended by Maxwell to include a new type of "current" that is due to changing electric fields: f B.di = μ0(Icharge Idisplacement The first term on the right-hand side, Icharge, describes the effects of the usual electric current due to moving charge. In this problem, that current is dÞE designated I (t) as usual. The second term displacement 0 dt called the displacement current; it was recognized as necessary by Maxwell. His motivation was largely to make Ampère's law symmetric with Faraday's law of induction when the electric fields and magnetic fields are reversed. By calling for the production of a magnetic field due to a change in electric field, this law lays the groundwork for electromagnetic waves…The induced eddy currents from the lost coin under the sand at the beach will generate a secondary magnetic field (separate from the one generated by the exciter coil). Which of the following of Maxwell's equations would best describe the response field of the lost coin under the sand at the beach? a. $E.0A = 9 €0 b. B.aA = 0 -Ə B at c. $E.al= d. §B • Əl = μ₁(I + €0 E at Simplify the above equation, if necessary/possibleMagnetic flux is proportional to:A) Magnetic Field IntensityB) Area of the coil C) Number of loops in the coilD) All of the above The higher the frequency of the Electromagnetic WaveA) the higher the energy B) the faster it travels C) the longer the wavelengthD) none of the above