AP EAMCET202316 May 2023Evening ShiftPhysicsElectrostaticsActual
An infinite line charge produces a field of 9 10^4 NC ⁻¹ at a distance of 2 ~cm . The linear charge density is
Options
- A10⁻⁷ C m ⁻¹
- B1.5 10⁻⁷ C m ⁻¹
- C10⁻⁸ C m ⁻¹
- D1.5 10⁻⁸ C m ⁻¹
Correct answer
A. 10⁻⁷ C m ⁻¹
Step-by-step solution
Electric field, E =9 10^4 ~N / C Distance, r =2 ~cm =0.02 ~m For infinite line change aligned & E= 2 ₀ r = 2 r 9 10^9 & Liner charges density, = E r 2 9 10^9 & = 9 10^4 0.02 2 9 10^9 =10⁻⁷ Cm ⁻¹ aligned