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3.7. A certain type of electromagnetic wave propagating inside an empty waveguide with perfectly conducting walls...
4. Consider the cylindrical waveguide below, which has an electromagnetic wave propagating in the space between...
4. Consider the cylindrical waveguide below, which has an
electromagnetic wave propagating in the space between the inner and
outer conductors, which is a gap where air exists. The radius of
the inner conductor is a, while the inner radius of the outer
conductor is b (as shown). The fields in the air-gap have the form
E = E0r cos (kz z ωt) B = B0r cos (kz z ωt) where E0 and B0 are
constants, r is the radial...
2. (a) Consider the propagation of a plane electromagnetic wave in a conductor. Show that the wav...
2. (a) Consider the propagation of a plane electromagnetic wave in a conductor. Show that the wavenumber, k, as a function of a, is given by the dispersion relationship ex ωε ωε where σ is the conductivity, μ is the permeability and ε is the permittivity of the conducting medium. (Hint: start with Maxwell's equations, and develop an equation of the form, V" E -k 2 E ). (3 marks) (b) Write down an expression for the physical electrical field...
Bob places a neutrally charged conducting ball next to a large, charged plate. The conducting ball...
Bob places a neutrally charged conducting ball next to a large, charged plate. The conducting ball is weakly attracted to the plate. What is the net charge on the plate? 1. a) Positive b) Negative c) Neutral (i.e., zero charge) d) Either positive or negative, but it is impossible to tell which A +1 C charge is at the origin, and a second +1 C charge is at position (x,y)-(2 m, 0). How much work is required to move the...
4. Consider the cylindrical waveguide below, which has an
electromagnetic wave propagating in the space between the inner and
outer conductors, which is a gap where air exists. The radius of
the inner conductor is a, while the inner radius of the outer
conductor is b (as shown). The fields in the air-gap have the form
E = E0r cos (kz z ωt) B = B0r cos (kz z ωt) where E0 and B0 are
constants, r is the radial...
2. (a) Consider the propagation of a plane electromagnetic wave in a conductor. Show that the wavenumber, k, as a function of a, is given by the dispersion relationship ex ωε ωε where σ is the conductivity, μ is the permeability and ε is the permittivity of the conducting medium. (Hint: start with Maxwell's equations, and develop an equation of the form, V" E -k 2 E ). (3 marks) (b) Write down an expression for the physical electrical field...
Bob places a neutrally charged conducting ball next to a large, charged plate. The conducting ball is weakly attracted to the plate. What is the net charge on the plate? 1. a) Positive b) Negative c) Neutral (i.e., zero charge) d) Either positive or negative, but it is impossible to tell which A +1 C charge is at the origin, and a second +1 C charge is at position (x,y)-(2 m, 0). How much work is required to move the...
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