Physics Assignment Problems: Electrostatic vs Gravitational Forces

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Questions and Answers

What is the magnitude of the total electric force that q1 and q2 exert on the third charge Q?

  • $167.4 \, \text{N/C}$
  • $131.6 \, \text{N/C}$ (correct)
  • $128.4 \, \text{N/C}$
  • $150.6 \, \text{N/C}$

What is the direction of the total electric force that q1 and q2 exert on the third charge Q?

  • Counter-clockwise from the +ve x-axis (correct)
  • Clockwise from the +ve x-axis
  • Below the -ve y-axis
  • Above the +ve x-axis

In which quadrant does the third charge Q reside?

  • Quadrant IV
  • Quadrant I (correct)
  • Quadrant II
  • Quadrant III

What is the value of θ in degrees for the direction of the resultant electric field?

<p>$12.60^\circ$ (B)</p> Signup and view all the answers

What is the location of q2 with respect to the origin?

<p>(0, -0.3) (B)</p> Signup and view all the answers

What is the vector sum of electric fields at a point due to multiple charges?

<p>The vector sum of individual electric fields (B)</p> Signup and view all the answers

In which direction does the electric field produced by a negative point charge point?

<p>Toward the charge (D)</p> Signup and view all the answers

What are the rules for drawing electric field lines?

<p>Start and end at positive charges (C)</p> Signup and view all the answers

What defines an electric dipole?

<p>Two charges of equal magnitude but opposite sign separated by a small distance (D)</p> Signup and view all the answers

How is the magnitude of an electric dipole moment defined?

<p>$p = q * d$ (B)</p> Signup and view all the answers

What is the direction of the dipole moment in an electric dipole?

<p>From negative to positive charge (B)</p> Signup and view all the answers

What is the electrostatic force between an electron-proton pair?

<p>$2.23 \times 10^{39} , N$ (D)</p> Signup and view all the answers

What is the gravitational force between an electron-proton pair?

<p>$2.23 \times 10^{39} , N$ (A)</p> Signup and view all the answers

At what point are the two point charges located in the answer provided?

<p>$(0.6 , m, 0.8 , m)$ (A)</p> Signup and view all the answers

What is the magnitude of the electric field at the origin due to charge $q_1$?

<p>$13 N/C$ (C)</p> Signup and view all the answers

What is the direction of the electric field at the origin due to charge $q_1$?

<p>$0.6 , i + 0.8 , j$ (D)</p> Signup and view all the answers

What is the sign of the charge $q_1$ provided in the answer?

<p>Negative (B)</p> Signup and view all the answers

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Study Notes

Electric Field

  • Electric field is a force that surrounds a point charge and is proportional to the magnitude of the charge and inversely proportional to the square of the distance from the charge.
  • The electric field produced by a positive point charge points away from the charge, and the electric field produced by a negative point charge points toward the charge.

Electric Field Calculations

  • Electric field at a point due to many charges is the vector sum of the individual electric fields.
  • Electric field can be calculated using the formula: E = 1 / (4πε0) * (Q / r²)

Electric Field Lines

  • Electric field lines are imaginary lines or curves that represent the direction of the electric field vector at a point.
  • Rules for drawing electric field lines:
    • Start at positive charges and end at negative charges.
    • The number of lines leaving a positive charge or terminating on a negative charge is proportional to the charge.
    • The number of lines per unit area perpendicular to the lines is proportional to the electric field.
    • No two field lines can ever intersect.

Electric Dipole

  • An electric dipole is a pair of electric charges of equal magnitude but opposite sign, separated by a small distance.
  • The magnitude of the electric dipole moment (p) is given by: p = qd
  • The direction of the dipole moment (p) is from the negative to the positive charge.

Electric Field Due to Multiple Charges

  • The resultant electric field at a point is the vector sum of the individual electric fields due to each charge.
  • The electric field can be calculated using the formula: E = E1 + E2 + ...

Electric Force and Gravitational Force

  • The electrostatic force between an electron and a proton is much stronger than the gravitational force between them.
  • The ratio of the electrostatic force to the gravitational force is: Fe / Fg = 2.23 x 10^39

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