A circuit contains capacitors of capacitance $500\mu \mathrm{F}$ and $2000\mu \mathrm{F}$ In series with each other and in series with a resistance of $2.5\mathrm{k}\Omega$.

Calculate the effective capacitance of the capacitors in series.

The graph of Figure shows how $V$ Depends on $Q$ for a particular capacitor.

The energy stored by a capacitor is equal to the area under the graph of voltage against charge.

The area under the graph has been divided into strips to make it easy to calculate the energy stored. The first strip (which is simply a triangle) shows the energy stored when the capacitor is charged up to $10\mathrm{V}$. The energy stored is $\frac{1}{2}\mathrm{QV}=\frac{1}{2}\times 1.0 \mathrm{mC}\times 1.0 \mathrm{V}=0.5 \mathrm{mJ}$Copy the table given below and complete it by calculating the areas of successive strips, to show how $W$ depends on $V$.

The graph of Figure shows how $V$ depends on $Q$ for a particular capacitor.

The energy stored by a capacitor is equal to the area under the graph of voltage against charge.

The area under the graph has been divided into strips to make it easy to calculate the energy stored. The first strip (which is simply a triangle) shows the energy stored when the capacitor is charged up to $10\mathrm{V}$. The energy stored is $\frac{1}{2}\mathrm{QV}=\frac{1}{2}\times 1.0 \mathrm{mC}\times 1.0 \mathrm{V}=0.5 \mathrm{mJ}$. Plot a graph of W against V. Describe the shape of this graph.

Calculate the energy stored in the capacitor of capacitance $5000\mu \mathrm{F}$ which is charged to $5.0 \mathrm{V}$.

Calculate the energy stored in the capacitor of capacitance $5000\mathrm{pF}$ which is charged to $5.0 \mathrm{V}$.

Calculate the energy stored in the capacitor of capacitance $200 \mu \mathrm{F}$ which is charged to $230 \mathrm{V}$.

A circuit contains capacitors of capacitance $500\mu \mathrm{F}$ and $2000\mu \mathrm{F}$ In series with each other and in series with a resistance of $2.5\mathrm{k}\Omega$.

Calculate the charge on the capacitor plates when there is a potential difference of $50 \mathrm{V}$ Across the plates.