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Unformatted text preview: 8.02 Sample Final D Solutions (Modified from Spring 1992) p. 1/3 1. Displacement Current and Poynting Vector (a) With E increasing, the displacement current is up, so the B field is out of the page at P. (b) ( nt displaceme encl I I dl B + = ) but I encl is 0 here, so we just need the displacement current: ( ) rb B b r I r B dl B b r dt dE r dt r E d dt d I nt displaceme E nt displaceme 2 2 2 2 2 1 2 = = = = = = = = (c) The Poynting vector is pointing in to the right (either from B E G G or from logic the capacitor is charging) G G R r P E (d) t rb rb bt B E 2 2 1 2 1 1 = = = G S 2. Electromagnetic Waves E = 3000 sin [2 x + (6 10 8 ) t] V/m y (a) In what direction does the wave travel? x (b) What is the wavelength of the wave? m k 1 2 2 2 = = = (c) What is the frequency f of the wave? Hz f 8 8 10 3 2 10 6 2 = = = (d) What is the speed v of the wave? (d) What is the speed v of the wave?...
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- Spring '07