The electric field due to a dipole at a point along the axial line is given by w

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Question: The electric field due to a dipole at a point along the axial line is given by which formula? (2023)

Options:

Correct Answer: k * p / r³

Exam Year: 2023

Solution:

The electric field E due to a dipole at a point along the axial line is given by E = (1/4πε₀) * (2p) / r³.

The electric field due to a dipole at a point along the axial line is given by which formula? (2023)

The electric field due to a dipole at a point along the axial line is given by which formula? (2023)

Step 1: Understand what a dipole is. A dipole consists of two equal and opposite charges separated by a small distance.
Step 2: Identify the point where you want to calculate the electric field. In this case, it's along the axial line of the dipole.
Step 3: Recall the formula for the electric field due to a dipole at a point along the axial line. The formula is E = (1/4πε₀) * (2p) / r³.
Step 4: Break down the formula: 'E' is the electric field, 'p' is the dipole moment (which is the product of charge and distance between charges), 'r' is the distance from the center of the dipole to the point where you're measuring the field, and 'ε₀' is the permittivity of free space.
Step 5: Remember that the factor of (1/4πε₀) is a constant that helps in calculating the electric field in a vacuum.

Electric Dipole – An electric dipole consists of two equal and opposite charges separated by a distance, creating an electric field in the surrounding space.
Electric Field Calculation – The formula for calculating the electric field due to a dipole at a specific point, particularly along the axial line, is essential for understanding dipole behavior.
Axial Line – The axial line is the line that extends through the dipole, where the electric field has a specific formula that differs from that of the equatorial line.