91影视

Maxwell's equations formulate a relationship between the electric and magnetic fields, that how they are correlated and complementary to each other.

We should be able to merge equations $\text{(4-6c)}$and $\text{(4-6d)}$into a single equation for both $E$and $B$ if we start with equations $\text{(4-6c)}$and $\text{(4-6d)}$and use the supplied identity .

$\text{G=E+icB}$

$鈭�\text{B}鈰�\text{dl}=\frac{\text{1}}{{\text{c}}^{\text{2}}}\frac{鈭�}{鈭�t}鈭�\text{E}鈰�\text{dA}$鈥︹�︹�︹�︹�︹��.. (2)

Equation(2) is multiplied by$\text{ic}$, and equations (1) and (2) are added together.

$鈭�\text{E}鈰�\text{dl}+\text{ic}鈭�\text{B}鈰�\text{dl}=鈭�\frac{鈭�}{鈭�t}鈭�\text{B}鈰�\text{dA}+\frac{\text{i}}{\text{c}}\frac{鈭�}{鈭�t}鈭�\text{E}鈰�\text{dA}$

$鈭�\left(\text{E+icB}\right)鈰�\text{dl}=\frac{\text{i}}{\text{c}}\frac{鈭�}{鈭�t}鈭�\left(\text{icB+E}\right)鈰�\text{dA}$

Since, $\text{G=E+icB}$

$鈭�\text{G}鈰�\text{dl}=\frac{\text{i}}{\text{c}}\frac{鈭�}{鈭�t}鈭�\text{G}鈰�\text{dA}$

As a result, we were able to unify the two equations for electric and magnetic fields into a single equation that includes both in a single variable termed as $G$. The magnetic and electric fields, on the other hand, haven't been restricted in any way during the derivation, thus they don't have to be complicated.