Question

find the magnitude of electric field just above the middle of large flat horizontal sheet carrying a charge density of 98nc/m2​

Answer 1

Given:

Large flat horizontal sheet carrying a charge density of 98nC/m².

To find:

Magnitude of electric field above the sheet?

Calculation:

General expression of electrostatic field intensity above a conducting plane infinite sheet of charge is as follows:

$\sf E = \dfrac{ \sigma}{2 \epsilon_{0}}$

$\sf \implies E = \dfrac{98 \times {10}^{ - 9} }{2 \times 8.85 \times {10}^{ - 12} }$

$\sf \implies E = \dfrac{98 \times {10}^{ - 9} }{17.7 \times {10}^{ - 12} }$

$\sf \implies E = 5.53 \times {10}^{ - 9 + 12}$

$\sf \implies E = 5.53 \times {10}^{ 3} \: N/C$

So, field intensity is 5.53 × 10³ N/C.