A square plate of side 2 m contains a charge uniformly distributed over one of its side- such that the surface charge density - is 10 C - m 2- The net charge on the square surface is n coulombs- where n is a natural number- The value of n is -

As we know surface charge density σ =charge/surface area Here σ = 10 C/m^2, surface area = (length)^2 = 4m^2 Charge =σ× surface ...

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Standard XII

Physics

Electric Field Due to Disk and Infinitely Large Sheet

A square plat...

Question

A square plate of side 2 m contains a charge uniformly distributed over one of its side, such that the surface charge density $σ$ is $10 C / m^{2}$ . The net charge on the square surface is n coulombs, where n is a natural number. The value of n is __.

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Solution

As we know surface charge density $σ = \frac{c h a r g e}{s u r f a c e a r e a}$

Here $σ = 10 C / m^{2}, s u r f a c e a r e a = (l e n g t h)^{2} = 4 m^{2}$

Charge = $σ \times s u r f a c e a r e a$

$= 10 C / m^{2} \times 4 m^{2} = 40 C$

Implies, n=40.

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