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Proceeding from Maxwell's equation shown that in the case of a plane electromagnetic wave ( figure ) propagating in vacuum the following relations hold :(deltaE)/(deltat)=-c^(2)(deltaB)/( deltax), (deltaB)/(deltat)-( deltaE)/( deltax). |
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Answer» Solution :`VEC(E)=hat(j) E(t,x)` `vec(B)=hat k B (t_(1),x)` and Curl`vec(E)=hat(k) (deltaE)/( deltax)=-( delta vec(B))/( deltat)=-hat(k)(DELTAB)/( deltat)` so `-(deltaE)/(deltax)=(deltaB)/(deltat)` Also Curl`vec(B)= epsilon_(0)mu_(0)(delta vec(E))/(deltat)=(1)/(C^(2))(deltavec(E))/(delta t)` and Curl`vec(B)=-hat(j) (deltaB)/(deltax)` so `(deltaB)/(deltax)=-(1)/(c^(2))(deltaE)/( deltat).` |
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