"Where the electric field is zero?" was answered by our community

Sanai Navarro

Answered question

2022-12-24

Where the electric field is zero?

Rivieri2uf

Beginner2022-12-25Added 6 answers

Electric field is usually given by:

E = \frac{V}{d} = \frac{F}{Q_{2}} = \frac{k Q_{1}}{r^{2}}

, where:
E = Electric field strength (

N C^{- 1} or V m^{- 1}

)
V = electric potential
d = distance from the point charge (m)
F = Electrostatic force (N)

Q_{1} and Q_{2}

= charge on objects 1 and 2 (C)
r = distance from point charge (#m#)
k =

\frac{1}{4 π ϵ_{0}} = 8.99 \cdot 10^{9} N m^{2} C^{- 2}

ϵ_{0}

= permittivity of free space (

8.85 \cdot 10^{- 12}

F m^{- 1}

)
However, instead of

ϵ 0

, a different value might be used, depending on the location of the electric field.
We have:

E = \frac{k Q}{r^{2}}

E \neq 0

when

Q > 0

. This can be shown by doing

r = \sqrt{\frac{k Q}{E}}

. Putting E=0 gives a value for r as

undefined

.
Therefore, the electric field will always have a value unless the particle in the field has no charge.

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