What is the potential at a distance of 1 m from a dipole with a dipole moment of
Practice Questions
Q1
What is the potential at a distance of 1 m from a dipole with a dipole moment of 2 × 10^-9 C·m?
0 V
1 V
2 V
4 V
Questions & Step-by-Step Solutions
What is the potential at a distance of 1 m from a dipole with a dipole moment of 2 × 10^-9 C·m?
Step 1: Understand what a dipole is. A dipole consists of two equal and opposite charges separated by a distance.
Step 2: Know the formula for the electric potential (V) due to a dipole: V = (1/4πε₀) * (p * cosθ) / r².
Step 3: Identify the variables in the formula: p is the dipole moment (2 × 10^-9 C·m), r is the distance from the dipole (1 m), and θ is the angle between the dipole moment and the line to the point where we are measuring the potential.
Step 4: Substitute the values into the formula. Here, r = 1 m and p = 2 × 10^-9 C·m.
Step 5: Calculate the potential. Since r is 1 m, the formula simplifies to V = (1/4πε₀) * (2 × 10^-9 * cosθ).
Step 6: Note that the value of V will depend on the angle θ. However, at a distance of 1 m, the potential is generally considered negligible compared to other sources.
