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Explain Bot To calculate the electric field strength exerted by a disk, we can use the equation derived from Gauss's Law:
E = σ / (2ε₀)
Where:
- E is the electric field strength
- σ is the charge density of the disk
- ε₀ is the permittivity of free space
In this case, we are given the radius of the disk, let's call it R, and the area of the disk, let's call it A. We need to find the charge density of the disk in order to calculate the electric field strength.
Step 1: Calculate the charge on the disk
To calculate the charge on the disk, we need to find the charge density, which is the charge per unit area. We can use the formula:
σ = Q / A
Where:
- σ is the charge density
- Q is the charge on the disk
- A is the area of the disk
Given the area of the disk, A = 20.5 cm², we can find the charge by multiplying the charge density and the area.
Step 2: Calculate the electric field strength
Once we have the charge on the disk, we can use the formula to calculate the electric field strength at a point on its central axis:
E = (Q / (2πε₀R²)) * (1 / (1 + (z / (√(4R² + z²)))))
Where:
- E is the electric field strength
- Q is the charge on the disk
- ε₀ is the permittivity of free space
- R is the radius of the disk
- z is the distance from the center of the disk along the central axis
By plugging in the values for Q, R, ε₀, and z, we can calculate the electric field strength at the desired point on the central axis of the disk.