Integrated Concepts. What capacitance is needed in series with an 800- μH inductor to form a circuit that radiates a wavelength of 196 m?.(a) What is the resonant frequency? (b) What inductance is in series with the capacitor? Integrated Concepts. An LC circuit with a 5.00-pF capacitor oscillates in such a manner as to radiate at a wavelength of 3.30 m.(b) Show that the magnitudes of the electric and magnetic fields are inversely proportional to r. (a) Show that the intensity is inversely proportional to r 2, the distance from the source squared. Suppose a source of electromagnetic waves radiates uniformly in all directions in empty space where there are no absorption or interference effects.\displaystyle\\, where rms means average (actually root mean square, a type of average). In fact, for a continuous sinusoidal electromagnetic wave, the average intensity I ave is given by Thus the energy carried and the intensity I of an electromagnetic wave is proportional to E 2 and B 2. In electromagnetic waves, the amplitude is the maximum field strength of the electric and magnetic fields. This is true for waves on guitar strings, for water waves, and for sound waves, where amplitude is proportional to pressure. Clearly, the larger the strength of the electric and magnetic fields, the more work they can do and the greater the energy the electromagnetic wave carries.Ī wave’s energy is proportional to its amplitude squared ( E 2 or B 2). If absorbed, the field strengths are diminished and anything left travels on. Once created, the fields carry energy away from a source. With electromagnetic waves, larger E-fields and B-fields exert larger forces and can do more work.īut there is energy in an electromagnetic wave, whether it is absorbed or not. Energy carried by a wave is proportional to its amplitude squared.
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