1.

In one part of above network, steady current is flowing. Values of resistances are as shown in the diagram. Find energy stored in capacitor.

Answer»

SOLUTION :When the capacitor becomes fully charged, there is no current in the branch CONTAINING capacitor. Now, current in the branch AD and DE is 1 + 2 = 3 A.
Current in the branch EB is 1 A.
Now, `V_(AD)= 3xx 5 = 15 ` V
`V_(DE) = 3 xx 1 = 3 V `
` V_(EB)= 1 xx 2= 2 `V
Potential difference across capacitor is,
`V = V_(AD) + V_(DE)+ V_(EB)`
= 15 + 3 + 2
`therefore V = 20 ` Volt
Now, electrostatic potential energy stored in the capacitor is,
`U_(E)= (1)/(2) CV^(2)`
`therefore U_(E) = (1)/(2) xx 4 xx 10^(-6) xx (20)^(2)`
`thereforeU_(E)= 8 xx 10^(-4) `J


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