An electron moving through an electric field experiences an acceleration of 5800 × 103 m/s 2
(1). Find the magnitude of the electric force acting on the electron. The Coulomb constant is 8.98755 × 109 N · m2 /C 2 , the fundamental charge is 1.602 × 10−19 C, and the mass of the electron is 9.109 × 10−31 kg . Answer in units of N. 011
(2) What is the magnitude of the electric field strength? Answer in units of N/C

Respuesta :

Answer:[tex]5.293\times 10^{-24}N[/tex],[tex]3.303\times 10^{-5}NC^{-1}[/tex]

Explanation:

Let [tex]a[/tex] be the acceleration experienced by the electron.

Let [tex]F[/tex] be the electric force acting on the electron.

Let [tex]m[/tex] be the mass of electron.

Question 1:

Given,[tex]m=9.109\times 10^{-31}Kg[/tex]

[tex]a=5800\times 10^{3}ms^{-2}[/tex]

Force is the product of mass and acceleration.

So,[tex]F=ma=9.109\times 10^{-31}times 5800\times 10^{3}=529.32\times 10^{-26}=5.293\times 10^{-24} N[/tex]

Question 2:

Let [tex]E[/tex] be the electric field strength.

Strength of electric field is defined as the ratio of force experienced by a particle in electric field to the charge of the particle.

[tex]E=\frac{F}{e}[/tex]

[tex]E=\frac{5.293\times 10^{-24}}{1.602\times 10^{-19}}=3.303\times 10^{-5}NC^{-1}}[/tex]

1. The magnitude of the electric force acting on the electron is [tex]5.293 \times 10^{-24}N[/tex]

2. The magnitude of the electric field strength is [tex]3.303 \times 10^{-5}NC^{-1}[/tex]

Calculation of the magnitude:

1.

We know that

The force should be the product of mass & acceleration

Now

[tex]= 9.109 \times 10^{-31} kg \times 5800 \times 10^3\\\\= 5.293 \times 10^{-24}N[/tex]

2.

Here we assume E be the electric field strength. It is defined by considering the ratio of force experienced by a particle in the electric field with respect to the charge of the particle.

Now

[tex]= 5.293 \times 10^{-24}N \div 1.602 \times 10^{-19} C\\\\= 3.303 \times 10^{-5}NC^{-1}[/tex]

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