[SADT5] Let E := E,i + E,j+ E,k and H:= H, i + H,+H,k be two...

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[SADT5] Let E := E,i + E,j+ E,k and H:= H, i + H,+H,k be two vectors assumed to have continuous partial derivatives (of second order at least) with respect to position and time. Suppose further that E and H satisfy the equations: 1 Эн V×H = с де 1 ЭЕ c dt V.E = 0, V.H = 0, VxE = prove that E and H satisfy the equation 1 a? E; and V H; 1 32 H; Here, i = x, y or z. Hint: Use the fact that V x (V x V) = V (V. V) – V?v. [SADT5] Let E := E,i + E,j+ E,k and H:= H, i + H,+H,k be two vectors assumed to have continuous partial derivatives (of second order at least) with respect to position and time. Suppose further that E and H satisfy the equations: 1 Эн V×H = с де 1 ЭЕ c dt V.E = 0, V.H = 0, VxE = prove that E and H satisfy the equation 1 a? E; and V H; 1 32 H; Here, i = x, y or z. Hint: Use the fact that V x (V x V) = V (V. V) – V?v.

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Since ue have E Ex Ey E R and ve o v 0 vH 0 VXE aR c ... View the full answer