Electric Field

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Definition

Property of each point in space when a charge is present. It’s a vector field, therefore it has both magnitude and direction. We call it E, and we define it as the force experienced by a test charge that has a value of + 1.

If we draw the continuation of the vectors, we find that the force or field lines go from positive charges to negative charges, as shown in the figure below.

Formula

\[\vec{E}= \frac{\Sigma \vec{F}}{q} = \Sigma k \frac{Q_i}{r_i^2}\]

Find the acceleration of a sphere of 2kg with a charge of 5 μC in an electric field of 10N/C.


Solution:

\(F=qE= 5 \cdot 10^{-6} \times 10 = 5 \times 10^{-5} \: N\)

\(a=\frac{F}{m}=2.5 \times 10^{-5} \: ms^{-2}\)


Written by Sofia Osorio