Electrostatics Question 363
Question: The magnitude of electric field $ E $ in the annular region of a charged cylindrical capacitor [IIT 1996]
Options:
A) Is same throughout
B) Is higher near the outer cylinder than near the inner cylinder
C) Varies as $ 1/r $ , where $ r $ is the distance from the axis
D) Varies as $ 1/r^{2} $ , where $ r $ is the distance from the axis
Show Answer
Answer:
Correct Answer: C
Solution:
The magnitude of electric field in the annular region of a charged cylindrical capacitor is given by $ E=\frac{1}{2\pi {\varepsilon _{0}}}\frac{\lambda }{r} $ where l is the charge per unit length and r is the distance from the axis of the cylinder. Thus $ E\propto \frac{1}{r} $
