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Questions and Answers
What is the formula for the electric field inside a sphere with radius R and point at inside (r < R)?
What is the formula for the electric field inside a sphere with radius R and point at inside (r < R)?
- $E = \frac{1}{4\pi\varepsilon_0} \left(\frac{q r}{R^3}\right)$, Here q is the total charge (correct)
- $E = \frac{1}{4\pi\varepsilon_0} \left(\frac{q r}{R^2}\right)$, Here q is the total charge
- $E = \frac{1}{4\pi\varepsilon_0} \left(\frac{q}{R^2}\right)$, Here q is the total charge
- $E = \frac{1}{4\pi\varepsilon_0} \left(\frac{q}{r^2}\right)$, Here q is the total charge
What does the relative permittivity (εr) of a medium represent?
What does the relative permittivity (εr) of a medium represent?
- The difference between its permittivity of the medium (ε) and the permittivity (ε0) of the free space
- The reciprocal of the product of its permittivity of the medium (ε) and the permittivity (ε0) of the free space
- The ratio between its permittivity of the medium (ε) and the permittivity (ε0) of the free space (correct)
- The product of its permittivity of the medium (ε) and the permittivity (ε0) of the free space
What is the formula for the electric field due to an infinite non-conducting flat sheet having charge density σ?
What is the formula for the electric field due to an infinite non-conducting flat sheet having charge density σ?
- $E = \frac{\sigma}{2\varepsilon_0}$ (correct)
- E = 2\pi\sigma\varepsilon_0
- E = 4\pi\sigma\varepsilon_0
- $E = \frac{\sigma}{\varepsilon_0}$
What does the electric field near a charged sheet depend on?
What does the electric field near a charged sheet depend on?
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How is electric potential defined at any point due to an infinite flat conductor carrying charge?
How is electric potential defined at any point due to an infinite flat conductor carrying charge?
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Study Notes
Electric Field Inside a Sphere
- The electric field inside a sphere with radius R and a point at distance r (r < R) has a formula.
Relative Permittivity (εr)
- εr represents how much a medium reduces the electric field.
Electric Field Due to a Flat Sheet
- The formula for the electric field due to an infinite non-conducting flat sheet having charge density σ is given by E = σ / (2ε₀).
Electric Field Near a Charged Sheet
- The electric field near a charged sheet depends on the charge density σ and the permittivity of free space ε₀, not on the distance from the sheet.
Electric Potential Due to an Infinite Flat Conductor
- The electric potential at any point due to an infinite flat conductor carrying charge is constant everywhere.
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