The amount of charge that a capacitor can store is limited by the breakdown voltage of the dielectric material between the plates.
When the applied voltage across the capacitor reaches a certain value (known as the breakdown voltage), the dielectric material between the plates begins to break down, causing an electrical discharge. This breakdown limits the amount of charge the capacitor can hold.
The relationship between the charge \( Q \), capacitance \( C \), and potential difference \( V \) is given by the formula:
\[ Q = C \cdot V \]
Thus, for a given capacitor, the maximum charge that can be stored is determined by its capacitance and the maximum voltage it can withstand before dielectric breakdown occurs.
What are the charges stored in the \( 1\,\mu\text{F} \) and \( 2\,\mu\text{F} \) capacitors in the circuit once current becomes steady? 

A racing track is built around an elliptical ground whose equation is given by \[ 9x^2 + 16y^2 = 144 \] The width of the track is \(3\) m as shown. Based on the given information answer the following: 
(i) Express \(y\) as a function of \(x\) from the given equation of ellipse.
(ii) Integrate the function obtained in (i) with respect to \(x\).
(iii)(a) Find the area of the region enclosed within the elliptical ground excluding the track using integration.
OR
(iii)(b) Write the coordinates of the points \(P\) and \(Q\) where the outer edge of the track cuts \(x\)-axis and \(y\)-axis in first quadrant and find the area of triangle formed by points \(P,O,Q\).