Question

A square of side b centred at the origin with sides parallel to axes of x and y has surface charge density sigma ...Total charge on square

Answer 1

Answer:

Total charge on square is σ × b²

Step-by-step explanation:

Given:

Surface charge density = σ

Side of Square = b

Required:

Charge on square = Q = ?

Calculation:

We know that

Area of Square = side of square × side of square

                          = b × b = b²

And

We know that

Surface charge density = σ = Charge / Area

Putting values we get

                                    σ = Q / b²

Multiplying by b² on both sides we get

                                    Q =  σ × b²

So

Total charge on square is σ × b²

Answer 2

Answer:

Step-by-step explanation:

Total charge on a surface is calculated by charge per unit surface * total surface

Let p be the sigma or we can say charge per unit surface. Its value is constant or we can say that the charge distribution is constant throughout the surface.

Now we have to find the are of the square plate which eventually comes out to be b*b= b^2.

Now since this square plate is parallel to the x axis as well as the y axis. Or through question we can say the charge distribution is continuous.

Now total charge on the square plate will be charge per unit surface * total surface = p * b^2 C