# Redistribution of Charges and Loss of Energy

When two charged conductors joined together through a conducting wire, the charge begins to flow from one conductor to another from higher potential to lower potential. This flow of charge stops when they attain the same potential.

Due to the flow of charge, loss of energy also takes place in the form of heat through the connecting wire.

Suppose there are two spherical conductors of radii

*r*_{1}and*r*_{2}, having charges*Q*_{1}and*Q*_{2}, potentials*V*_{1}and*V*_{2}, energies*U*_{1}and*U*_{2}, and capacitances*C*_{1}and*C*_{2}, respectively (Fig. 2).**Fig. 2**

If these two spheres are connected through a conducting wire, then the alteration of charge, potential, and energy takes place.

# New charge

According to the conservation of charge, (say),

**Fig. 3**

Also

â‡’ and similarly

# Common potential

# Energy loss

The loss of energy due to redistribution of charge is given by