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Electric Field Strength

1,639 bytes added, 24 May
Created page with "==Key Stage 5== ===Meaning=== '''Electric field strength''' is the force per unit charge exerted on a small positive test [[Electrical Charge|charge]..."
==Key Stage 5==
===Meaning===
'''Electric field strength''' is the [[force]] per unit [[Electrical Charge|charge]] exerted on a small positive test [[Electrical Charge|charge]] placed at a point in the [[Electric Field|field]].

===About Electric Field Strength===
*'''Electric field strength''' is given by the symbol '''𝐸'''.
*The [[unit]] of '''electric field strength''' is [[Newton]]s per [[Coulomb]] (N/C) or [[volt]]s per [[metre]] (V/m).
*The direction of the [[Electric Field|electric field]] is the direction of the [[force]] that would act on a positive test [[Electrical Charge|charge]].
*[[Electric Field|Electric fields]] can be represented by [[Field Line|field lines]]; the density of these lines indicates the '''field strength'''.

===Formula===
'''Electric Field Strength''' is given by the general formula:

<math>𝐸=\frac{𝐹}{𝑄}</math>

Where,

𝐹 is the [[force]] experienced by a [[Electrical Charge|charge]] 'Q' in the field.

and

𝑄 is the [[Electrical Charge|charge]] in that field.

The '''Electric field strength''' around a point [[Electrical Charge|charge]] is given by:

<math>𝐸=𝑘\frac{𝑄}{𝑟_2}</math>

Where:

𝑘 is the [[Coulomb's Constant|Coulomb's constant]]

𝑄 is the [[Point Charge|point charge]] causing the field

and

𝑟 is the distance from that [[Point Charge|point charge]]

Since;

<math>𝑘=\frac{1}{4\pi\varepsilon_0}</math>

Then:

<math>𝐸=\frac{1}{4\pi\varepsilon_0}\frac{𝑄}{𝑟_2}</math>

or

<math>𝐸=\frac{𝑄}{4\pi\varepsilon_0𝑟_2}</math>

Where:

<math>\varepsilon_0</math> is the [[Permittivity of Free Space|permittivity of free space]]