Electric Field at r_A

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on

Jul 24, 2020, 6:28:07 PM

Created by

on

Jan 26, 2017, 6:37:58 AM

E_{A} = \frac{2 \cdot k \cdot q}{1 \cdot r_{A}}

$E_A = (2*k* "q" )/( 1 * r_A )$

(q) charge

$(q)"charge"$

(L) unit length

$(L)"unit length"$

(r_{A}) Enter radius A

$(r_A)"Enter radius A"$

The Math / Science

The Electric Field calculated by this equation computes the electric field intensity at a radial distance $r_{A}$ $r_A$ . The electric field is calculated using the following formula:

$E_{A} = \frac{2 \cdot k \cdot q}{L \cdot r_{A}}$ $E_A = (2*k*q)/(L*r_A)$

where:

$E_{A}$ $E_A$ = Electric Field at radial distance $r_{A}$ $r_A$
$k$ $k$ = Coulomb's Constant (8.9875517873682E9 m/F) = $\frac{1}{4 \cdot π \cdot ε_{0}}$ $1/(4*pi*epsilon_0)$ , where $ε_{0}$ $epsilon_0$ is the permittivity of free space
$q$ $q$ = charge
$L$ $L$ = unit length
$r_{A}$ $r_A$ = radius A

NOTE: because $L$ $L$ is a "unit length", you must always use the value 1 for L, though you may change its units.

References

22.7 Field lines and Gauss's law by Benjamin Crowell, Light and Matter licensed under the Creative Commons Attribution-ShareAlike license.

Electric Field Calculators

This equation, Electric Field at r_A, references 1 page

Equations and Data Items

• Coulomb's Constant by MichaelBartmess

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Electric Field at r_A

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