Mathematics: If the field strength is e = 9 v/m a distance of 1 m from the charge, what is the field strength e a distance of 3 m from the charge?

264000Step-by-step explanation:...

If the field strength is e = 9 v/m a distance

pr47723

11.01.2022

The field strength is 1 V/m.

Step-by-step explanation:

Given : If the field strength is E = 9 V/m a distance of 1 m from the charge.

To find : What is the field strength E a distance of 3 m from the charge?

Solution :

The formula of Electric field strength is

$E=\frac{kq}{r^2}$

where, E=9 V/m is electric field strength

q is the charge

r=1 m is the distance

Substitute the value in the formula,

$9=\frac{kq}{1^2}$

9 Vm=kq

Now, to find field strength a distance of 3 m from the charge

i.e. kq=9 Vm and r=3

Substitute the value in the formula,

$E=\frac{9}{3^2}$

$E=\frac{9}{9}$

$E=1\ V/m$

The field strength is 1 V/m.

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