What is the electric field at a point on the axis of a dipole at a distance d from the center of the dipole?
Practice Questions
1 question
Q1
What is the electric field at a point on the axis of a dipole at a distance d from the center of the dipole?
0
p/(4πε₀d²)
p/(2πε₀d²)
p/(4πε₀d³)
The electric field along the axis of a dipole at a distance d is given by E = (1/(4πε₀)) * (2p/d³), where p is the dipole moment.
Questions & Step-by-step Solutions
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Q
Q: What is the electric field at a point on the axis of a dipole at a distance d from the center of the dipole?
Solution: The electric field along the axis of a dipole at a distance d is given by E = (1/(4πε₀)) * (2p/d³), where p is the dipole moment.
Steps: 6
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 dipole moment (p). The dipole moment is a measure of the strength of the dipole and is calculated as p = q * d, where q is the charge and d is the distance between the charges.
Step 3: Recognize the formula for the electric field (E) along the axis of a dipole. The formula is E = (1/(4πε₀)) * (2p/d³).
Step 4: Know the constants in the formula. ε₀ is the permittivity of free space, a constant value.
Step 5: Substitute the dipole moment (p) into the formula if needed. If you have the values for q and d, you can calculate p.
Step 6: Plug in the distance (d) from the center of the dipole into the formula to find the electric field at that point.
