Question

Find the electric potential 10cm from an electron

Answer 1

$\huge{\underline{\tt{\red{Find-}}}}$

Electric potential-?

$\huge{\underline{\tt{\purple{Given-}}}}$

10cm distance= 0.1m and electron information.

Formula to be used-

$\boxed{V= \dfrac{1}{4\pi E_o} \dfrac{q}{r}}$

$\huge{\underline{\tt{\green{Solution-}}}}$

Putting value in formula,

$V= 9\times 10^{9} (\dfrac{-1.6\times 10^{-19}}{0.1})$

$\boxed{V= -14.4 \times 10^{-9} volts}$

Answer 2

Given ,

Charge (q) = 1.6 × (10)^(-19) c

Distance (r) = 10 cm or (10)^(-1) m

We know that , the electric potential due to point charge q at distance r from it is given by

$\boxed{ \sf{Electric \: potential \: (v) = \frac{kq}{r} }}$

Thus ,

$\sf \mapsto v = \frac{9 \times {(10)}^{ 9} \times 1.6 \times {(10)}^{ - 19} }{ {(10)}^{ - 1} } \\ \\ \sf \mapsto v = 14.4 \times {(10)}^{-9} \: \: volt$

Therefore ,

The electric potential due to point charge is 14.4 × (10)^(-9) volt