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What is the electric field at a distance r from an infinitely long line charge w
What is the electric field at a distance r from an infinitely long line charge with linear charge density λ?
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Practice Questions
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Q1
What is the electric field at a distance r from an infinitely long line charge with linear charge density λ?
λ/2πε₀r
λ/4πε₀r²
λ/ε₀r
λ/2ε₀r²
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The electric field due to an infinite line charge is given by E = λ/2πε₀r.
Questions & Step-by-step Solutions
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Q
Q: What is the electric field at a distance r from an infinitely long line charge with linear charge density λ?
Solution:
The electric field due to an infinite line charge is given by E = λ/2πε₀r.
Steps: 5
Show Steps
Step 1: Understand that an infinitely long line charge has a uniform charge distributed along its length.
Step 2: Identify the linear charge density, λ, which is the amount of charge per unit length.
Step 3: Recognize that the electric field (E) created by this line charge depends on the distance (r) from the line.
Step 4: Use the formula for the electric field due to an infinite line charge, which is E = λ / (2πε₀r).
Step 5: Note that ε₀ is the permittivity of free space, a constant that helps describe how electric fields behave in a vacuum.
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