A thin square plate is placed in x-y plane as shown in fig. such that is centre coinsides with origi

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1. Electric Charges and Fields

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A thin square plate is placed in $x-y$ plane as shown in fig. such that is centre coinsides with origine it's charge density at point $(x, y)$ is $\sigma = \sigma _0xy$ (where $\sigma _0$ is constant). Find total charge on the plate.

A

${\sigma _0}{a^2}$

B

$-{\sigma _0}{a^2}$

C

$\frac{{{\sigma _0}}}{{{a_2}}}$

D

Zero

Solution

Total charge in first quadrent will cancel total charge of sec. quadrent.

Similarly charge in thind quadrent will cancel charge of $(iv)$ quadrent total charge will be zero.

Standard 12

Physics

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