PROBLEM 1 Refer to figure 1 below. Three charges, 91, 92 and q3 are located equidistant from the point 0. Determine the relationship between the ratio of 23 and the angles ₁ and ₂ such that the electric field 91 at O is 0. (Note that trigonometric functions may be used to describe the relationship). I. II. III. IV. V. VI. 92 Figure 1 Draw and appropriate co-ordinate system to solve the problem. Using your co-ordinate system write the magnitudes and directions of the electric fields from the 3 charges. Using the notation E = |Ē| î write the vector sum of the electric field at point 0. Solve the E, equation for q2. 93 Use this value of q2 in the Ex equation to solve for the ratio 23 in terms of the angles and 0₂. 91 If q₁1 = 9₂ = q, determine a new relationship between 23 in terms of the angles 0₁ and 0₂. q (0₂ r 0₁ r r 91 93

PROBLEM 1 Refer to figure 1 below. Three charges, 91, 92 and q3 are located equidistant from the point 0. Determine the relationship between the ratio of 23 and the angles ₁ and ₂ such that the electric field 91 at O is 0. (Note that trigonometric functions may be used to describe the relationship). I. II. III. IV. V. VI. 92 Figure 1 Draw and appropriate co-ordinate system to solve the problem. Using your co-ordinate system write the magnitudes and directions of the electric fields from the 3 charges. Using the notation E = |Ē| î write the vector sum of the electric field at point 0. Solve the E, equation for q2. 93 Use this value of q2 in the Ex equation to solve for the ratio 23 in terms of the angles and 0₂. 91 If q₁1 = 9₂ = q, determine a new relationship between 23 in terms of the angles 0₁ and 0₂. q (0₂ r 0₁ r r 91 93

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