When 30 µC charge is given to an isolated conductor of capacitance 5 µF. Find out the following
(i) Potential of the conductor
(ii) Energy stored in the electric field of conductor
(iii) If this conductor is now connected to another isolated conductor by a conducting wire (at very large distance) of total charge 50 µC and capacity 10 µF then
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
[(i) 6 V
(ii) 90 µJ
(iii) 5 V
V
µJ
Q 5 µ F = 
Q 10 µ F = 
]
Sol. Q 1 = 30µC, C 1 = 5µF
(i) V 1 = 
= 
= 6V Ans.
(ii) U = 
= 
= 90 µJ Ans.
(iii) Q 2 = 50 µC, C 2 = 10 µF,
V 2 = 
= 
= 5V.
Common potential V = 
= 
= 
V Ans.
Δ H = 
(V 1 – V 2 ) 2 = 
(6 – 5) 2 = 
µJ Ans.
= 
= 
= 
Ans.
Q 1 ' = C 1 V = 5 × 
= 
µC
Q 2 ' = C 2 V = 10 × 
= 
µC.
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