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The table information is as follows:

- Current density, J equals rho sub v u.

- Poisson’s equation, nabla squared V equals negative start fraction rho sub v over epsilon end fraction.

- Laplace’s equation, nabla squared V equals 0.

- Resistance, R equals start fraction negative integral sub l E times d l over integral sub S sigma E times d s end fraction.

- Capacitance, C equals start fraction integral sub S epsilon E times d s over negative integral sub l E times d l end fraction.

- RC relation, RC equals start fraction epsilon over sigma end fraction.

- Energy density, w sub e equals one half epsilon E squared.

- Point charge, E equals R vector start fraction q over 4 pi epsilon R squared end fraction.

- Many point charges. E equals start fraction 1 over 4 pi epsilon, Greek letter sigma from N to i equals 1 start fraction q sub I left parenthesis R minus R sub I right parenthesis over the absolute value of start expression R minus R sub I end expression cubed.

- Volume distribution, E equals start fraction 1 over 4 pi epsilon end fraction integral sub V prime vector R prime start fraction rho sub v d V prime over R prime squared end fraction.

- Surface distribution, E equals start fraction 1 over 4 pi epsilon end fraction integral sub S prime vector R prime start fraction rho sub s d s prime over R prime squared end fraction.

- Line distribution, E equals start fraction 1 over 4 pi epsilon end fraction integral sub l prime vector R prime start fraction rho sub l d l prime over R prime squared end fraction.

- Infinite sheet of charge, E equals vector z start fraction rho sub s over 2 epsilon sub 0 end fraction.

- Infinite line of charge, E equals start fraction D over epsilon sub 0 end fraction equals vector r start fraction D sub r over epsilon sub 0 end fraction equals vector r start fraction rho sub l over 2 pi epsilon sub 0 r end fraction.

- Dipole, E equals start fraction q d over 4 pi epsilon sub 0 R cubed left parenthesis vector R 2 cosine theta plus vector theta sine theta right parenthesis.

- Relation to V, E equals negative Nabla V.