Reposted by Is he dead yet? ☠️🪦
Is he dead yet? ☠️🪦
@mrfuryo.bsky.social
862 followers 220 following 2.2K posts
Please don’t kill yourself, he’ll die one day, and you’ll DEFINITELY want to be around for that. 🇪🇸⭐️⭐️🇪🇸 🇺🇦🇵🇸 Ezekiel 23:20 === @mrfflash (at) Flashes
![The image of a large blackboard details a lecture on classical electrostatics, focusing on Coulomb's Law, the Electric Field (E), and the field of an electric dipole.
1. Vector Form of Coulomb's Law (Top Right)
Defines the electrostatic force (F_12) between two point charges, q1 and q2:
• F_12 = (k_e * q1 * q2 / r^2) * r_hat_12
• r_hat_12: Unit vector pointing from charge 1 to charge 2.
• k_e: Coulomb's constant.
2. Definition of the Electric Field (Top Left)
The electric field (E) is the force (F_E) exerted per unit positive test charge (q0):
• E = F_E / q0 (Unit: Newtons per Coulomb, N/C).
• Direction: Points the same way a positive charge would move. Negative charges experience a force in the exact opposite direction.
• Point Charge Field: For a single charge q at distance r: E = k_e * q / r^2
• Field Lines: Diagrams show lines pointing outward from positive charges (+q) and inward toward negative charges (-q).
3. The Electric Dipole (Bottom Left)
Derives the electric field of a dipole (charges +q and -q separated by distance 2a) along its perpendicular bisector axis (y-axis):
• Components: Symmetry cancels vertical components; horizontal components add up.
• Individual Fields: E_+ = E_- = k_e * q / (a^2 + y^2)
• Resultant Field: E = [ 2 * E_+ * cos(theta) ] i_hat = 2 * [ k_e * q / (a^2 + y^2) ] * [ a / sqrt(a^2 + y^2) ] i_hat
• Final Equation: E = [ k_e * (2 * a * q) / (a^2 + y^2)^(3/2) ] i_hat (where 2aq is the dipole moment p).
4. Sample Problem Setup (Bottom Right)
Shows a vector problem resolving a multi-charge system:
• Fields are split into horizontal (i_hat) and vertical (j_hat) vectors using cos(45) and sin(45).
• Superposition is applied to find total net vector field: E = (E_x)i_hat + (E_y)j_hat.](https://cdn.bsky.app/img/feed_thumbnail/plain/did:plc:xojqi2nfkyvw5o4ykahgqvac/bafkreiehuiyn3ks4ubbpbufog47csx2e4amvfdnsxnv3v67xpinjm6aggm)
