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2) Electric field in the bisecting plane of an electric dipole. Here is a simple electric dipole with its charges on the y-axis centered on the origin. The first few steps on Problem-Solving Strategy 23.1 are done for you. Your job is to complete the process. This is a different point (on the axis) than the one you saw in the recording. It will have a different result. A) On the sketch draw and label the electric fields at point P due to the positive (E) and negative (E) charges. P(x,0) B) Look at the electric fields you just drew... Is there any symmetry present that will simplify finding the total E? De- scribe the symmetry and how it informs what you do and don't have to calculate. Your Knowns are a short list of variable symbols that you want to be present in your final expression, typically represent- ing where point P is and the details of your charge distribution. In this problem your Knowns will be q, s, & x. Your To Find is E(x,0). C) Write expressions for the magnitudes of E. & E. You may introduce intermediate variables like we did in class for the three-charge system (like r,r and angles). However, when you're all done, they should be in terms of your Knowns. E = E = D) Find and add up the components of the electric field using your expressions from (C) and the equations on the right. Make sure there are no variables other than those in your Known list. Constants may also be present. Ēx = Σ Ēxi = Ēx1 + Ēx2.…... Ey= Ēyi =Ēy1 + Ēy2…... E) Assess... Does the expression found in (D) have the expected units? What is its value if you pick a point P infinitely far away (x->) F) Find the limit of the electric field of a dipole as you go far, but not infinitely far, from a dipole in its bisecting plane. Write it in terms of the electric dipole moment (p... which has magnitude, qs, and points from negative end to positive end of the dipole).

2) Electric field in the bisecting plane of an electric dipole. Here is a simple electric dipole with its charges on the y-axis centered on the origin. The first few steps on Problem-Solving Strategy 23.1 are done for you. Your job is to complete the process. This is a different point (on the axis) than the one you saw in the recording. It will have a different result. A) On the sketch draw and label the electric fields at point P due to the positive (E) and negative (E) charges. P(x,0) B) Look at the electric fields you just drew... Is there any symmetry present that will simplify finding the total E? De- scribe the symmetry and how it informs what you do and don't have to calculate. Your Knowns are a short list of variable symbols that you want to be present in your final expression, typically represent- ing where point P is and the details of your charge distribution. In this problem your Knowns will be q, s, & x. Your To Find is E(x,0). C) Write expressions for the magnitudes of E. & E. You may introduce intermediate variables like we did in class for the three-charge system (like r,r and angles). However, when you're all done, they should be in terms of your Knowns. E = E = D) Find and add up the components of the electric field using your expressions from (C) and the equations on the right. Make sure there are no variables other than those in your Known list. Constants may also be present. Ēx = Σ Ēxi = Ēx1 + Ēx2.…... Ey= Ēyi =Ēy1 + Ēy2…... E) Assess... Does the expression found in (D) have the expected units? What is its value if you pick a point P infinitely far away (x->) F) Find the limit of the electric field of a dipole as you go far, but not infinitely far, from a dipole in its bisecting plane. Write it in terms of the electric dipole moment (p... which has magnitude, qs, and points from negative end to positive end of the dipole).

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2) Electric field in the bisecting plane of an electric dipole. Here is a simple electric dipole with its charges on the y-axis centered on the origin. The first few steps on Problem Solving Strategy 23.1 are done for you. Your job is to complete the process. This is a different point (on the axis) than the one you saw in the recording. It will have a different result. A) On the sketch draw and label the electric fields at point P due to the positive (E) and negative (E) charges. +y P(x,0) B) Look at the electric fields you just drew... Is there any symmetry present that will simplify finding the total E? De- scribe the symmetry and how it informs what you do and don't have to calculate. Your Knowns are a short list of variable symbols that you want to be present in your final expression, typically represent- ing where point P is and the details of your charge distribution. In this problem your Knowns will be q, s, & x. Your To Find is E(x,0). C) Write expressions for the magnitudes of E. & E. You may introduce intermediate variables like we did in class for the three-charge system (like r, r and angles). However, when you're all done, they should be in terms of your Knowns. E = E = D) Find and add up the components of the electric field using your expressions from (C) and the equations on the right. Make sure there are no variables other than those in your Known list. Constants may also be present. Ēx = Σ Êxi = Ēx1 + Ēx2…….. Ey Eyi = Ey1 + Ey2.... = E) Assess... Does the expression found in (D) have the expected units? What is its value if you pick a point P infinitely far away (x->) F) Find the limit of the electric field of a dipole as you go far, but not infinitely far, from a dipole in its bisecting plane. Write it in terms of the electric dipole moment (p... which has magnitude, qs, and points from negative end to positive end of the dipole).
Transcribed Image Text:2) Electric field in the bisecting plane of an electric dipole. Here is a simple electric dipole with its charges on the y-axis centered on the origin. The first few steps on Problem Solving Strategy 23.1 are done for you. Your job is to complete the process. This is a different point (on the axis) than the one you saw in the recording. It will have a different result. A) On the sketch draw and label the electric fields at point P due to the positive (E) and negative (E) charges. +y P(x,0) B) Look at the electric fields you just drew... Is there any symmetry present that will simplify finding the total E? De- scribe the symmetry and how it informs what you do and don't have to calculate. Your Knowns are a short list of variable symbols that you want to be present in your final expression, typically represent- ing where point P is and the details of your charge distribution. In this problem your Knowns will be q, s, & x. Your To Find is E(x,0). C) Write expressions for the magnitudes of E. & E. You may introduce intermediate variables like we did in class for the three-charge system (like r, r and angles). However, when you're all done, they should be in terms of your Knowns. E = E = D) Find and add up the components of the electric field using your expressions from (C) and the equations on the right. Make sure there are no variables other than those in your Known list. Constants may also be present. Ēx = Σ Êxi = Ēx1 + Ēx2…….. Ey Eyi = Ey1 + Ey2.... = E) Assess... Does the expression found in (D) have the expected units? What is its value if you pick a point P infinitely far away (x->) F) Find the limit of the electric field of a dipole as you go far, but not infinitely far, from a dipole in its bisecting plane. Write it in terms of the electric dipole moment (p... which has magnitude, qs, and points from negative end to positive end of the dipole).
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