Charge Q on a capacitor varies with voltage V as shown in the figure, where Q is taken along the X-axis and V along the Y-axis. The area of triangle OAB represents

Concept:

Energy Stored in a Capacitor:

The energy U stored in a capacitor is given by the formula:

U = 1/2 × Q × V, where:

Q = Charge on the capacitor (Coulombs)

V = Voltage across the capacitor (Volts)

The graph given in the question represents the relationship between charge Q and voltage V on the capacitor. The area of the triangle OAB represents the energy stored in the capacitor, as the energy stored is the product of charge and voltage divided by 2.

Calculation:

The area of triangle OAB is given by:

Area = 1/2 × base × height

Here, base = Q (charge) and height = V (voltage). Thus, the area is equivalent to the energy stored in the capacitor.

∴ The area of triangle OAB represents the energy stored in the capacitor, which corresponds to Option 4.