★Case 1:
If the conductors having same radius then :-
Do algebraic sum of charges on both conductors and divide it by two and you will get the answer.
After conduction charge on both conductors will be =
(charge on 1st + charge on 2nd)/2
Let’s learn with some examples:
Charge on first conductor= +5C
Charge on 2nd conductor = -13C
So after conduction Final charge on both
5 + (-13) /2 = -4 C
So the Final answer is -4 C
★Case 2:
If radius of both the conductors are different.
Let you have two conductors having radius R1 and R2 respectively .
Then you need to use this formula to get the final charge on both the conductors
After conduction,
Charge on 1st conductor=
R1 / (R1 + R2) X (total charge)
Charge on 2nd conductor=
R2 / (R1 + R2) X (total charge)
Let’s learn with some examples:
Ex. Let you have to conducting sphere of radius 1cm and 2 cm having charge -3C and +5 C respectively. After conduction charge on (1) will be 1/3 X 2 = 2/3 C & (2) will be 2/3 X 2 = 4/3 C
It will not take more than 5 to 10 seconds to get the answer.
Read these amazing tricks also: