an error in dc pandey

2 metal spheres of radii a and b are connected by a thin conducting spheres.There sep is very arge compared to there dimensions. Find the equivalent capacitance of the system.

Since they are connected by a wire so the two spheres should havew the same potnetial and if they do then capacitance is infinity actually........

but the asnwer given is

4\pi \epsilon (a^2{}+b^2{})/2
i am sure there is a mistake what r ur opinion guys.....

4 Answers

49
Subhomoy Bakshi ·

this case is equivalent to 2 capacitors (here 2 capacitors are capacitance of isolated spheres with that of infinity) joined in parallal!! :)

answer is NOT infinity!

1
nihal raj ·

frnds discuss this question..........

1
varun.tinkle ·

welll i thought of that too

the way i thought abt it was wrong i wanted the answer n i thought all methods

but first capcitance
C=C_{1} C_{2}\div C_{1}+ C_{2}

C=C_{1}+ C_{2}

either of them but the answer wont come it will never come in the from a^2+b^2 but let me tell you if a question like this comes for JEE wont u go like i did give aa charge Q to one and a -Q to other haan....

1
varun.tinkle ·

any more replies Nishant bhaya and kaymant sir or should it ake this ti be an error in dcp

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