AP EAMCET202022 Sep 2020Evening ShiftPhysicsElectrostaticsActual
An infinite line charge produces a field of 9 10^4 NC ⁻¹ at a distance of 2 ~cm . Its linear charge density is
Options
- A0.1 C m ⁻¹
- B0.2 C m ⁻¹
- C10 C m ⁻¹
- D20 C m ⁻¹
Correct answer
A. 0.1 C m ⁻¹
Step-by-step solution
Electric field produced by infinite line charge, aligned & E=9 10^4 NC ⁻¹ & r=2 ~cm =2 10⁻² ~m aligned Linear charge density, = ? We know that, aligned E & = 2 ₀ r & =2 ₀ r E= 4 ₀ 2 r E & = 1 2 9 10^9 2 10⁻² 9 10^4 & =10⁻⁷ Cm ⁻¹=0.1 10⁻⁶ Cm ⁻¹ & =0.1 Cm ⁻¹ aligned