# Double Integrals ?

**Electricity and Magnetism**Level 3

Calculate the total electric flux through the paraboloid surface due to a constant horizontal electric field of magnitude \(E .\)

The radius of paraboloid is \(2 \text{ m}\) and height is \(1\text{ m} \).

\(E = 10\text{ SI Units} \).

You need to calculate the electric flux only due to parabolic surface not due to base.

Give absolute value of flux

Take Horizontal direction along the axis of paraboloid (Line joining Top and base of paraboloid.