Question

Find electric field in (N C -¹) at a distance 10cm from a charge of 1 micro C.
​(a) 9×10-5
(b) 9×10³
(c) 9×10 5
(d) 9×10 15​

Answer 1

Given:

1 micro-C charge has been given.

To find:

Electric field intensity at a distance of 10 cm.

Calculation:

General expression of field intensity:

$\therefore \: E = \dfrac{kq}{ {r}^{2} }$

• 'k' is Coulomb's Constant = 9 × 10⁹.

$\implies \: E = \dfrac{(9 \times {10}^{9}) \times 1 \times {10}^{ - 6} }{ {(0.1)}^{2} }$

$\implies \: E = \dfrac{9 \times {10}^{3} }{ {10}^{ - 2} }$

$\implies \: E = 9 \times {10}^{5} \: N/C$

So, field intensity is 9 × 10⁵ N/C.