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Electric fields around point charges

Explore the concept of electric fields around point charges, their direction, and calculations through examples. Learn how to determine the magnitude and direction of electric fields at specific points, using real-life scenarios and formulas. ###

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Electric fields around point charges

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  1. Electric fields around point charges Away from positive Toward negative Direction of E field is:

  2. Fields around points of mass or charge a, b, c are points, Q is a charge

  3. Example: What is the electric field 2.0 m to the right of a -21 μC charge? 47,000 N/C left

  4. A C +12.5 C -187 C x 72.1 cm 11.2 cm What is the electric field at the x? (Magnitude and direction) • EA = kqA = 8.958E6 N/C to the left (away from +) • r2 • EC = kqC = 2.423E6 N/C to the right (toward -) • r2 • = - 8.958E6 N/C + 2.423E6 N/C = -6.54E6 N/C (Left) 6.54E6 N/C to the left

  5. Whiteboards: Field relative to points 1 | 2 | 3

  6. Vera Similitude measures the electric field 13.5 m to the right of a -1.45 C charge. What electric field in what direction? • E for a point charge: • E = kq • r2 • k = 8.99x109 Nm2C-2, q = -1.45x10-6 C, r = 13.5 m • E = -71.5 N/C away from the charge, or to the left (toward the negative charge) 71.5 N/C to the left

  7. Vesta Buhl measures an electric field of 2,120 N/C, 67 cm from a charge of unknown value. The electric field is away from the charge. What is the charge? • E for a point charge: • E = kq • r2 • k = 8.99x109 Nm2C-2, E = 2,120 N/C, r = .67 m • q = 1.06x10-7 C = +.11 C. It is a positive charge as the E-field is away from it +0.11 C

  8. Amelia Rate measures a gravitational field of 3.4 N/kg. What distance is she from the center of the earth? (Me = 5.98 x 1024 kg. ) • g for a point mass: • g = Gm • r2 • G = 6.67x10-11 Nm2kg-2, g = 3.4 N/kg, m = 5.98x1024 kg • r = 10831137.03 m = 10.8 x 106 m (re = 6.38 x 106 m) 1.1 x 107 m

  9. Tara Bull measures an electric field of 10. N/C what distance from an electron? • E for a point charge: • E = kq • r2 • k = 8.99x109 Nm2C-2, E = 10 N/C, q = 1.602x10-19 C • r = 1.20008x10-5 m = 12 m 12 m

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