Chapter 13: Q20P (page 540)

An electron in a region in which there is an electric field experiences a force of ⟨ 8.0×10−17, −3.2×10−16, −4.8 × 10−16⟩ N. What is the electric field at the location of the electron?

Short Answer

Expert verified

The electric field at the location of electron is (-500,2000,3000)N/C .

Step by step solution

Identification of given data

The given data can be listed below,

The electric force experienced by electric field is, $(8.0 \times 10^{- 17}, - 3.2 \times 10^{- 16}, - 4.8 \times 10^{- 16}) N$ .

Concept/Significance of Electric field

An imaginary line of force between two points charges with opposing signs (+/-) is called an electric field. Because the carrier of the force is unseen, the lines are fictional.

Determination of the electric field at the location of the electron

The electric field at the location of electron is given by,

$E = \frac{F}{q}$

Here, F is the force experienced by electron and q is the charge on electron whose value is $- 1.6 \times 10^{- 19} C$ .

Substitute all the values in the above,

role="math" localid="1656916434400" $E = \frac{(8.0 \times 10^{- 17}, - 3.2 \times 10^{- 16}, - 4.8 \times 10^{- 16}) N}{- 1.6 \times 10^{- 19} C} = (- 500, 2000, 3000) N / C$