Question

In the figure eight particles form a square in which distance d = 3.10 cm. The charges are q₁ = +7e, q₂ = +2e, q₃ = -7e, q₄ = -5e, q₅ = +7e, q₆ = +2e, q₇ = -7e, and q₈ = +6e. What is (a) the x component and (b) the y component of the net electric field at the square's center?

Your answer is partially correct. Try again. In the figure 의ght particles form a square ln which distance d center? 3.10 cm. The charges ar q1-+7e, q2-+2e, q」- 7e, q4- 5e qs- +7e, qe- +2e,a? 7e, and q -+de what is a) the x component and b) the γ companent of the net electric eld at the square's 91 L. 16 97 Units 4P-5 N/C or V/m (b) N Units ['N/c or V/m Click if you would like to Show Work for this question en Show Work

Answer 1

2. 下 = 6e 1

q₁ and q₅ are equal in magnitude and are at same distance from the center .hence they produce same amount of electric field at the center.

E₁ = E₅

Since E₁ and E₅ are directed in opposite direction , they cancel out each other.

q₂ and q₆ are equal in magnitude and are at same distance from the center .hence they produce same amount of electric field at the center.

E₂ = E₆

Since E₂ and E₆ are directed in opposite direction , they cancel out each other.

q₃ and q₇ are equal in magnitude and are at same distance from the center .hence they produce same amount of electric field at the center.

E₃ = E₇

Since E₃ and E₇ are directed in opposite direction , they cancel out each other.

E₄ = magnitude of electric field by charge q₄ = k q₄/d² = (9 x 10⁹) (5 x 1.6 x 10^-19)/(0.031)² = 7.5 x 10^-6 N/C

E₈ = magnitude of electric field by charge q₈ = k q₈/d² = (9 x 10⁹) (6 x 1.6 x 10^-19)/(0.031)² = 9 x 10^-6 N/C

Net electric field along the x-direction is given as

E_x = E₄ + E₈ = (7.5 x 10^-6 ) + (9 x 10^-6) = 16.5 x 10^-6 N/C

b)

Net electric field along the Y-direction is given as

E_y = 0 N/C