Electromagnetism
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physics Electromagnetism
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physics Electromagnetism
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Electromagnetism
An electromagnetic signal is generated by a Hertzian dipole located at a point he position vector r = -(100 m) ez. The signal is detected by a small wire loc he origin. Apart from the dipole and the loop, the nearby space is empty. Experimentation reveals that the detected signal is induced by a changing ma- Bphys(t) = B, sin (27 ft) ex, here Bo = 0.1 uT and f = 30 MHz. a) (i) Deduce the range of possible directions of the dipole, remembering th hree-dimensional problem. Hint: You may find Figure 2.3 helpful in visualisi Suggested answer length: 80 words.) = i) Explain quantitatively how the orientation of the loop affects the detected Suggested answer length: 80 words.) ) By considering the effect on the amplitude of the radiation component o ld from a variation of Elm around the origin in x, y and z, explain quantit- em of the magnetic field due to the dipole at P is well-approximated by a pl gion -1 < x/m < 1, -1<y/m<1,-1<z/m < 1. uggested answer length: 150 words.) Show that the given physical magnetic field at the loop, Bphys(t), is cons onochromatic plane wave solution of Maxwell's equations given by B = i Bo exp[i(kz – wt)] ez. Using the Ampère-Maxwell law show that the associated electric field is E = -icB, expi(kz - wtey.
Electromagnetism
An electromagnetic signal is generated by a Hertzian dipole located at a point he position vector r = -(100 m) ez. The signal is detected by a small wire loc he origin. Apart from the dipole and the loop, the nearby space is empty. Experimentation reveals that the detected signal is induced by a changing ma- Bphys(t) = B, sin (27 ft) ex, here Bo = 0.1 uT and f = 30 MHz. a) (i) Deduce the range of possible directions of the dipole, remembering th hree-dimensional problem. Hint: You may find Figure 2.3 helpful in visualisi Suggested answer length: 80 words.) = i) Explain quantitatively how the orientation of the loop affects the detected Suggested answer length: 80 words.) ) By considering the effect on the amplitude of the radiation component o ld from a variation of Elm around the origin in x, y and z, explain quantit- em of the magnetic field due to the dipole at P is well-approximated by a pl gion -1 < x/m < 1, -1<y/m<1,-1<z/m < 1. uggested answer length: 150 words.) Show that the given physical magnetic field at the loop, Bphys(t), is cons onochromatic plane wave solution of Maxwell's equations given by B = i Bo exp[i(kz – wt)] ez. Using the Ampère-Maxwell law show that the associated electric field is E = -icB, expi(kz - wtey.
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