An electric dipole consists of two equal but opposite charges separated by a distance of 2a

Sunday, 12 August 2018

5:56 PM

Machine generated alternative text: Question: An electric dipole consists of two equal but opposite charges separated by a distance of 2a as shown in the diagram. In this question, give answers, including €0, the permitivity otfree space. 2a +qO O -q Figure 1 _ Two equal but opposite charges A-q and —q are placed a distance 2a apart to create an electric dipole. part 1) Write an expression tor the electric field at x = r due to the —q charge. T ne —q charge is located at x = a and in this case r > a. part 2) Write an expression tor the total electric field at x — r due to the +q charge at = —a and the —q charge at x part 3) Now consider the limit where r a. Write an expression for the electric field in this case. Check a.

 

Machine generated alternative text: Feedback tor Part 1) The electric field a distance d from a point charges is given by In this case d 47rE0 d2 r — a. The electric field is to the left as a positive test charge placed at x = r would be attracted to the —q charge. The electric field can be Mitten as 47rE0 Marks for this submissiom 0.00/0.33. This submission attracted a penalty of 0.11 Feedback tor Part 2) Electric fields obey the law of superposition so we can add the electric field due to the -Fq particle to the electric field due to the —q particle. Etot = + i 47rE0 2 i 47rE0 (r (r—a) q r2 — 2ra+a2 —r2 —2ra—a Marks for this submissiom 0.00/0.33. This submission attracted a penalty of 0.11 Feedback tor Part 3) In the limit where r a, a2 r2 sowe can use r a2 r'2. 47rE0 47rE0 q 4ra — 4ra i q 4ra 47rE0 r4 47rE0 (r2_a2 2 q 40 r7rE0 • Marks for this submissiom 0.00/0.33. This submission attracted a penalty of 0.11 A correct answer — , which can be typed in as follows: A correct answer — , which can be typed in as follows: - (a (%pi aA2)A2) A correct answer — , which can be typed in as follows:

 

 

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