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?

$12.60^\circ$ Signup and view all the answers

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

(0, -0.3) Signup and view all the answers

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

The vector sum of individual electric fields Signup and view all the answers

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

Toward the charge Signup and view all the answers

What are the rules for drawing electric field lines?

Start and end at positive charges Signup and view all the answers

What defines an electric dipole?

Two charges of equal magnitude but opposite sign separated by a small distance Signup and view all the answers

How is the magnitude of an electric dipole moment defined?

$p = q * d$ Signup and view all the answers

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

From negative to positive charge Signup and view all the answers

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

$2.23 \times 10^{39} , N$ Signup and view all the answers

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

$2.23 \times 10^{39} , N$ Signup and view all the answers

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

$(0.6 , m, 0.8 , m)$ Signup and view all the answers

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

$13 N/C$ Signup and view all the answers

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

$0.6 , i + 0.8 , j$ Signup and view all the answers

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

Negative Signup and view all the answers

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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Description

This quiz tackles physics problems involving electron-proton pairs by comparing electrostatic forces with gravitational forces. The solutions involve calculations using fundamental constants like electric charge, mass, and the gravitational constant.