A point charge is placed 3 m from a 4 uC charge. What is the strength of the electric field on the point charge at this distance? (Round to the nearest whole number.)

Question

asked Sep 4, 2021 52.8k views

2 Answers

JstRoRR · Answer 1 · 2021-09-06T06:59:13+0000

Answer:

4,000N/C

Step-by-step explanation:

the information we have is:

distance:
r=3m

charge:
$q= 4\mu C$

since the prefix
$\mu$ is equal to
1x10^(-6)

the charge is:
q=4x10^(-6)C

------------------

To calculate the strength of the electric field we use the following formula:

E=(kq)/(r^2)

where
is the charge,
is the distance and
is Coulomb's constant

k=9x10^9Nm^2/C^2

substituting all the known values into the formula:

$E=((9x10^9Nm^2/C^2)(4x10^(-6)C))/((3m)^2) \\E=(36,000Nm^2/C)/(9m^2) \\E=4,00N/C$

The strength of the electric field on the point charge at the distance of 3m is 4,000 N/C.