A +12 μC charge and -8 μC charge are 4 cm apart. Find the magnitude and direction of the E-field at the point midway between the two charges. Use k = 9 x 10^9 N*m^2/C^2.

Respuesta :

Answer:

Explanation:

Given

Charge of first Particle [tex]q_1=+12\ \mu C[/tex]

Charge of second Particle [tex]q_2=-8\ \mu C[/tex]

distance between them [tex]d=4\ cm[/tex]

[tex]k=9\times 10^{9}[/tex]

magnetic field due to first charge at mid-way between two charged particles is

[tex]E_1=\frac{kq_1}{r^2}[/tex]

[tex]r=\frac{d}{2}=\frac{4}{2}=2\ cm[/tex]

[tex]E_1=\frac{9\times 10^9\times 12\times 10^{-6}}{(2\times 10^{-2})^2}[/tex]

[tex]E_1=27\times 10^7\ N/C[/tex] (away from it)

Electric field due to [tex]q_2=-8\ \mu C[/tex]

[tex]E_2=\frac{kq_2}{r^2}[/tex]

[tex]E_2=-\frac{9\times 10^9\times 8\times 10^{-6}}{(2\times 10^{-2})^2}[/tex]

[tex]E_2=-18\times 10^7\ N/C[/tex](towards it)

[tex]E_{net}=E_1+E_2[/tex]

[tex]E_{net}=9\times 10^7\ N/C[/tex](away from first charge)