Two positive point charges q are placed on the x-axis, one at x = a and one at x = -a. (a) Find the magnitude and direction of the electric field at x = 0. (b) Derive an expression for the electric field at points on the x -axis. Use your result to graph the x-component of the electric field as a function of x, for values of x between -4a and +4a.

Logic I Week 2 08/23 Homework # 1 answers 1. True 2. True 3. True 4. False 5. True C2. I ᵛ L C3. I ∙ L C4. ~(I ∙ L) Review of Week 1 I. Parentheses are used with unclear symbolization structure (L ∙ I) ᵛ K Disjunction of Conjugation L ∙ (I ᵛ K) Conjugation of Disjunction ~K ᵛ L Disjunction of Negation ~(K ᵛ L) Negation of Disjunction II. Follow the syntax (look at the word order) of the English sentence to determine the order of the symbols. a. Amanda and Xander do not both eat pizza. ~(A ∙ X) i. "not" comes before "both", so the ~ (not) negates the conjunction A ∙ X b. Amanda and Xan