Find the ratio of potential differences that must be applied across the parallel and series combination of two capacitors `C_(1) and C_(2)` with their capacitance in the ratio 1 : 2 so that energy stored in the two cases becomes the same.

Answer the following: (i) Use Gauss' law to find the electric field due to a uniformly charged infinite plane sheet. What is the direction of field for positive and negative charge densities? (ii) Find the ratio of the potential differences that must be applied across the parallel and series combination of two capacitors C_(1) and C_(2) with their capacitance in the ratio 1 : 2 so that the energy stored in the two cases becomes the same.

Find the ratio of potential difference that must be applied across the parallel and series combination of two capacitors C_(1) and C_(2) with their capacitance in the ratio 1:3 so that energy stored in the two cases becomes the same.

Find the ratio of the potential difference that must be applied across the parallel. and series combination of two capacitors C 1 ​ and C 2 ​ with their capacitances in the ratio 1:2 so that the energy stored in the two cases becomes the same.

Find the ratio of the potential difference that must be applied across the parallel and series combination of two capacitors C_1 and C_2 with capacitance in the ratio 1:2 , so that the energy stored in these two cases becomes the same.

Find the ratio of the potential difference that just be applied across the parallel and series combination of two capacitors C_1 and C_2 with their capacitances in the ration 1:3, so that the energy stored in two cases, becomes the same.

(i) Use Gauss's law to find the electric field due to a uniformly charged infinite plane sheet. What is the direction of field for positive and negative charge densities? (ii) Find the ratio of the potential differences that must be applied across the parallel and eries combination of two capacitors C_(1) and C_(2) with their capacitances in the ratio 1 : 2 so that the energy stored in the two of two capacitors C_(1) and C_(2) with their capacitances in the ratio 1 : 2 so that the energy stored in the two cases becomes the same.

Find the relation of the potential differences that must be applied across the parallel and series combinations of two identical capacitors so that the energies stored in these two cases become the same.

Plot a graph comparing the variation of potential ‘V’ and electric field ‘E’ due to a point charge ‘Q’ as a function of distance r from point charge (ii) Find the ratio of the potential differences that must be applied across the parallel and the series combination of two identical capacitors so that the energy stored, in the two cases, becomes the same.

Plot a graph comparing the variation of potential ‘V’ and electric field ‘E’ due to a point charge ‘Q’ as a function of distance r from point charge (ii) Find the ratio of the potential differences that must be applied across the parallel and the series combination of two identical capacitors so that the energy stored, in the two cases, becomes the same.