Four uncharged capacitors \( c_{1}, c_{2}, c_{3} \) and \( c_{4} \) are connected as shown in th...

Four uncharged capacitors \( c_{1}, c_{2}, c_{3} \) and \( c_{4} \) are connected as shown in the figure. The points \( A, B, C \) and \( D \) are kept at potential \( v_{1}, v_{2}, v_{3} \) and \( v_{4} \) respectively. Then the potential \( v_{0} \) at point \( O \) is
(a) \( v_{1}+v_{2}+v_{3}+v_{4} \)
(b) \( \frac{v_{1} c_{1}+c_{2} v_{2}+c_{3} v_{3}+c_{4} v_{4}}{c_{1}+c_{2}+c_{3}+c_{4}} \)
(c) \( \frac{1}{4}\left(v_{1}+v_{2}+v_{3}+v_{4}\right) \)
(d) \( \frac{1}{2} \frac{c_{1} v_{1}+c_{2} v_{2}+c_{3} v_{3}+c_{4} v_{4}}{c_{1}+c_{2}+c_{3}+c_{4}} \)