A charge of 4 nc is placed uniformly on a square sheet of nonconducting material of side 17 cm in the yz plane. (a) what is the

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3 months ago

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surface charge density sigma ?

1 answer:

Softa [3K] · Answer 1 · 2026-03-24T10:05:49+03:00

The sheet's charge density calculates to be 1.384×10⁻⁷C/m².

Charge density is the ratio of charge per unit area.

The square sheet has dimensions l=17 cm.

To compute the area A of the sheet.

$A=l^2=(17 cm)^2= (17*10^-^2m)^2=0.0289 m^2$

The overall charge Q on the sheet is

$Q=4nC=4*10^-^9C$

The charge density σ is defined as

$\sigma=\frac{Q}{A}$

We substitute 4×10⁻⁹C for Q and 0.0289 m² for A.

$\sigma=\frac{Q}{A}\\ =\frac{4*10^-^9C}{0.0289 m^2} \\ =1.389*10^-^7C/m^2$

Thus, the charge density for the sheet is 1.384×10⁻⁷C/m².