Two spherical conductors each of capacity C are charged to potential 25 V and 10 V. These are connected by a wire then the loss energy will be ( C =5F )

Question

Two spherical conductors each of capacity C are charged to potential 25 V and 10 V. These are connected by a wire then the loss energy will be ( C =5F ) (A) 125 J (B) 425 J (C) 700 J (D) 281.25 J

Tardigrade Admin · Accepted Answer

Energy loss =(1/2) ( C 1 C 2/ C 1+ C 2)( V 1- V 2)2 Energy loss =(1/2)((5/2))(15)2 Energy loss =281.25 J

Q. Two spherical conductors each of capacity $C$ are charged to potential $25 V$ and $10 V$ . These are connected by a wire then the loss energy will be $(C = 5 F)$

$125 J$

$425 J$

$700 J$

$281.25 J$

Energy loss $= \frac{1}{2} \frac{C _{1} C _{2}}{C _{1} + C _{2}} (V_{1} - V_{2})^{2}$
Energy loss $= \frac{1}{2} (\frac{5}{2}) (15)^{2}$
Energy loss $= 281.25 J$

Q. Two spherical conductors each of capacity C are charged to potential 25V and 10V. These are connected by a wire then the loss energy will be (C=5F)

125J

425J

700J

281.25J