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If 1V is supplied to a 2F capacitor, cal...

If 1V is supplied to a 2F capacitor, calculate the charge stored in the capacitor.
a) 1.5C
b) 6C
c) 2C
d) 3C

Text Solution

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The area can be divided into strips by drawing ordiN/Ates between x=0 and x=6 at a regular interval of dx. Cionsider the strip between the oridiN/Ates at x and `x+dx.` The height of this strip is `y=x^2`. The area of this strip is `dA=y dx=x^2dx`.
The total area of the shaded part is obtained by suming up these strip areas with x varying from o0 to 6. Thus,
`A=int^6_0x^2 dx`
`=[x^3/3]^6_0=(216-0)/3=72`
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