Physics 9702 · AS & A Level · Energy stored in a capacitor

Energy stored in a capacitor — practice question

(a(i))[2]

State the meaning of electric potential at a point.

(a(ii))[1]

Define the term capacitance.

(b)

Figure 4.1 plots how the potential $V$ of an isolated metal sphere varies with the charge $Q$ on its surface.

(b(i))[2]

Use Fig. 4.1 to find the sphere’s capacitance.

(b(ii))[2]

Use Fig. 4.1 to find the electric potential energy stored on the sphere when its potential is $150\ \text{kV}$.

(c)[2]

A spark lowers the sphere’s potential from $150\ \text{kV}$ to $75\ \text{kV}$. Calculate the energy lost by the sphere.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: work required to bring a unit positive charge from infinity to the point

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI