Question

calculate the potential of the elecric field in which an electron accelerates with 0.5 m/s^2 by travelling a distance 100 m in 10 sec​

Answer 1

AnswEr :

From the Question,

• Acceleration,a = 0.5 m/s²
• Distance travelled, d = 100 m
• Time taken, t = 10 sec

Here,

Force due to gravity = Electrostatic Force

$\longrightarrow$ ma = eE

$\longrightarrow$ a = eE/m

We know that,

Specific Charge of Electron, e/m ≈ - 1.75 × 10¹¹ C/Kg

$\longrightarrow$ 0.5 = E × {-1.75 × 10¹¹]

$\longrightarrow$ E = - 0.28 × 10^-11 V/m

Also,

Potential Difference = - Electric Field × Distance

$\longrightarrow$ V = -(-0.28 × 10^-11)× 10²

$\longrightarrow$V = 0.28 × 10^-9 Volts