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Two isolated (independent) metal spheres of radii R_1=10 cm and R_2=2 cm are charged with unknown...

Two isolated (independent) metal spheres of radii R_1=10 cm and R_2=2 cm are charged with unknown charges Q_1 and Q_2 such that the spheres have electric potentials V_1=10 Volt and V_2=-20 Volt respectively.

a)Calculate the values of charges Q_1 and Q_2.

b) The spheres of part a) are next connected to each other with a thin metal wire of negligible diameter and length. Calculate the new charge on each sphere and the new potential of each sphere after their connection.

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