San Francisco State University

### Question Description

I donβt know how to handle this Physics question and need guidance.

**Question #1: Electric field due to a dipole**

*(30 points total)*

An electric dipole consists of a pair of point charges with equal magnitude and opposite sign, +*Q* and β*Q*, and separated by a distance *2a*, as shown.

**Part A ***(15 points)*: Show that at all points on the x-axis for which , .

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## Final Answer

Question 4 is on the last pages here

Question #1: Electric field due to a dipole (30 points total)

An electric dipole consists of a pair of point charges with equal

magnitude and opposite sign, +Q and βQ, and separated by a

distance 2a, as shown.

Part A (15 points): Show that at all points on the x-axis for

ππ

which |π₯| β« π, πΈ β 2ππ π₯ 3 .

0

ππ

Part B (15 points): Show that at all points on the y-axis for which |π¦| β« π, πΈ β ππ

0π¦

3

.

Question #2: Electric Potential due to a dipole (30 points total)

Letβs consider the ...