Derive expressions for the equivalent emf of series combination of electric cell.

Combination of Cells

(c) Derive the expression for the affective capacitance of a series combination of n capacitors.

In series combination of resistances :

Two cells of emf E_(1) and E_(2) have internal resistance r_(1) and r_(2) . Deduce an expression for equivalent emf of their parallel combination.

Two cells of emfs epsilon_(1)and epsilon_(2) and internal resistances r_(1)and r_(2) respectively are connected in parallel . Obtain expressions for the equivalent (i) resistance and , (ii) emf of the combination.

The equivalent resistance of the combination across AB is .

Write the expression for equivalent spring constant of (i) parallel combination of n- springs (ii) series combination of n- springs

(i) Derive the expression for the specific for the electric potential due to an electric dipole at a point on its axial line. (ii) Depiet the equivpotential surfaces due to an electric dipole.

Two cells of same emf but different internal resistance are connected in parallel so as to send current in same direction. STATEMENT-1 : The equivalent emf of the combination is equal to individual emf of each cell. and STATEMENT-2 : The equivalent emf is the arithmetic mean of the individual emfs.

Two resistors of resistances R_(1)=(300+-3) Omega and R_(2)=(500+-4) Omega are connected in series. The equivalent resistance of the series combination is