Calculate the vertical and horizontal components of the electrical field produce

Question

Calculate the vertical and horizontal components of the electrical field produced by 2 positive charges. q1=3C and q2=1C at point P. The charge q2 is 10cm from the origin. the point P is 10cm up from the origin.

please try and be thorough, I missed this on a previous test and I'm pretty certain a similar problem will be on my final in the morning, so I want a pretty good understanding. Thank You!!

blem 2: Calculate the vertical and horizontal components of the e duced by two positive charges ql - 3 C and q2-1 C at point P from the origin The point P is 10 cm up from the origin. orngan 14.14cm 10 lc 12 10m

Explanation / Answer

here,

theta = arctan(10/10)

theta = 45 degree

electric feild due to q1 , E1 = k * q1 /0.1^2 j

E1 = 2.7 * 10^12 N/C j

electric feild due to q2 , E2 = k * q2 /0.1^2 * ( - cos(theta) i + sin(theta) j)

E2 = 9 * 10^11 * ( - 0.707 i + 0.707 j)

E2 = ( - 6.36 i N/C + 6.36 N/C j) * 10^11

net electric feild , E = E1 + E2

E = (- 6.36 i N/C + 33.36 j N/C) * 10^11

the vertical component is 33.36 * 10^11 N/C

thehorizontal componenet is - 6.36 * 10^11 N/C

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