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A small object A, electrically charged, creates an electric field. At a point P located 0.250m directly north of A, the field has a value of 40.0N/C directed to the south.

If a second object B with the same charge as A is placed at 0.250m south of A (so that objects A and B and point P follow a straight line), what is the magnitude of the total electric field produced by the two objects at P?

If a second object B with the same charge as A is placed at 0.250 south of A (so that objects A and B and point P follow a straight line), what is the magnitude of the total electric field produced by the two objects at P?

a. 40.0N/C
b. 50.0N/C
c. 30.0N/C
d. 10.0N/C

Respuesta :

Answer:b

Explanation:

Given

Electric field at point P due to A is given by which located 0.25 m from A is

[tex](E_p)_A=40\ N/C[/tex] towards south

i.e. Charge is negatively charged

Electric field is given by

[tex]E=\frac{kq}{r^2}[/tex]

where k=constant

q=charge

r=distance between point and charge

if Object B is 0.25 m from A such that it is 0.5 m from point P

Electric field is given by

[tex](E_p)_B=\frac{kq}{(2r)^2}[/tex]

[tex](E_p)_B=\frac{kq}{r^2}\times \frac{1}{4}[/tex]

[tex](E_p)_B=(E_p)_A\times 0.25[/tex]

so total electric field at P is given by

[tex](E_p)_A+(E_p)_B=40+0.25\times 40=50\ N/C[/tex]

The magnitude of the total electric field produced by the two objects at P is option b 50.0 N/C.

  • The calculation is as follows:

Electric field should be provided by

[tex](E_p)B = \frac{kq}{(2r)^2} \\\\ = \frac{kq}{r^2} \times \frac{1}{4}\\\\ = (E_p)A \times 0.25\\\\ = 40 + 0.25 \times 40[/tex]

= 40 + 10

= 50

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