In the table shown, List I and List II, respectively, contain terms appearing on the left-hand side and the right-hand side of Maxwell’s equations (in their standard form). Match the left-hand side with the corresponding right-hand side.
List I |
List II |
||
1. |
∇. D |
P |
0 |
2. |
∇ × E |
Q |
\(\rho_v\) |
3. |
∇. B |
R |
\( \frac{{ - dB}}{{dt}}\) |
4. |
∇ × H |
S |
\(J + \frac{{dD}}{{dt}}\) |
Various Maxwell laws are shown in the table
Differential form |
Integral form |
1. \(\nabla .\vec D = \rho_v\) |
\(\oint \vec D.\vec ds = \mathop \smallint \limits_v^{} \rho_vdV\) |
2. \(\nabla \times \vec E = \frac{{ - dB}}{{dt}}\) |
\(\mathop \oint \limits_L^{} \vec E.\overrightarrow {dl} = \frac{{ - \partial }}{{dt}}\;\mathop \smallint \limits_s^{} \vec B.\overrightarrow {ds}\) |
3. \(\nabla .\vec B = 0\) |
\(\oint \vec B.\overrightarrow {ds} = 0\) |
4. \(\nabla \times \vec H = J + \frac{{dD}}{{dt}}\) |
\(\oint \vec H.\overrightarrow {dl} = \mathop \smallint \limits_s^{} \left( {\vec J + \frac{{d\vec D}}{{dt}}} \right)ds\) |