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Calculate the x-component of the electric field at point P due to charge Q 1 . W

ID: 2282948 • Letter: C

Question

Calculate the x-component of the electric field at point P due to charge Q1. Write your answer in units of N/C.

Calculate the y-component of the electric field at point P due to charge Q1. Write your answer in units of N/C.

Calculate the y-component of the electric field at point P due to the Charge Q2. Write your answer in units of N/C.

Calculate the y-component of the electric field at point P due to both charges. Write your answer in units of N/C.

Calculate the magnitude of the electric field at point P due to both charges. Write your answer in units of N/C.

Calculate the angle in degrees of the electric field at point P relative to the positive x-axis.

Explanation / Answer

Here angle between R and xaxus will be = cos-1(8/R)

where R = ( 19.5^2 - 8^2)^1/2

R = 17.78 cm

angle = 63.25

1. the electric field at point P due to charge Q1 = kq/R2

= 8.5*10^-9 (9*10^9)/0.1772

E = 2441.82 N/C

the x-component of the electric field at point P due to charge Q1 = Ecos63.25

= 1099.25 N/C

2. the y-component of the electric field at point P due to charge Q1 =Esin63.25

=2185.2 N/C y-component of the electric field at point P

3.the electric field at point P due to the Charge Q2 = 8.5*10^-9 (9*10^9)/0.1952

= 2011.8 N/C

y-component of the electric field at point P due to the Charge Q2 = E = 2011.8 N/C

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