Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Electric Charges and Fields

Question:

If an infinite line charge produces an electric field of 9×104N/C at a distance of 2 cm, what is the linear charge density? 

Options:

200 μC/m 

0.1 μC/m

 10 μC/m 

5 μC/m 

Correct Answer:

0.1 μC/m

Explanation:

E = \(\lambda \)/2\(\pi \)\(\epsilon_0 \) = 2\(\lambda \)/4\(\pi \)\(\epsilon_0 \)r

\(\lambda \) = 4\(\pi \)\(\epsilon_0 \)r E/2

r = 2 x 10-2 m ; E = 9 x 104 N/C

\(\lambda \) = 10-7 C/m