Medan Listrik dari Disk Terisi Uniform

Electric Field Due to a Uniformly Charged Disk

• The electric field due to a uniformly charged disk is a significant concept in electrostatics.
• Understanding its calculation allows for analyzing electric potential and force scenarios.
• The formula for the electric field at a point on the axis perpendicular to the disk's plane depends on the disk's charge density, radius, and the point's distance from the disk's center.
• Calculations involve integrating the electric field contributions from infinitesimally small charged rings on the disk.
• The result is an expression for the electric field along the axis, exhibiting a different behavior compared to a point charge or a uniformly charged sphere, reflecting the disk's geometry.

Key Factors for Calculation

• Charge Density (σ): The charge distributed per unit area of the charged disk. Uniformity is crucial for simplified formulas. Measured in Coulombs per square meter (C/m²).

• Radius (R): The radius of the uniformly charged disk. Crucial in defining the extent of the charge distribution. Measured in meters (m).

• Distance from the Center (z): The distance from the center of the disk to the point at which we are calculating the electric field. Measured in meters (m).

• Infinitesimal Charge Elements: The calculation breaks down the charged disk into infinitely small, charged rings to ease the integration process.

Derivation and Formula

• The derivation involves a combination of calculus and the principle of superposition.
• Superposition means the total electric field is the vector sum of the fields from all individual charge elements.
• The integration considers contributions from different rings (infinitesimal charge elements).
• The final formula typically shows the electric field dependent on the distance and the charge parameters.

Formula and Behavior

• The resulting formula demonstrates that the electric field is not constant across all points in space. It varies with the distance and the disk’s dimensions.
• The formula typically includes terms relating to both σ, R, z, and may include certain constants.
• The electric field strength is strongest near the disk and tapers off as the distance increases.
• The behavior of the formula for the electric field varies as you move from locations extremely close to the disk to far away on the axis of the disk.
• This demonstrates that the detailed mathematical result reflects physical expectations.

Medan listrik yang dihasilkan oleh disk terisi uniform adalah konsep penting dalam elektrostatika. Memahami perhitungannya memungkinkan analisis potensi listrik dan skenario gaya. Formula ini melibatkan integrasi kontribusi medan listrik dari cincin terisi infinitesimal pada disk.