Electrostatics Question 508
Question: Two infinitely long parallel conducting plates having surface charge densities $ +\sigma $ and$ -\sigma $ respectively, are separated by a small distance. The medium between the plates is vacuum. If $ {\varepsilon _{0}} $ is the dielectric permittivity of vacuum, then the electric field in the region between the plates is [AIIMS 2005]
Options:
A) $ 0volts/meter $
B) $ \frac{\sigma }{2{\varepsilon _{o}}}volts/meter $
C) $ \frac{\sigma }{{\varepsilon _{o}}}volts/meter $
D) $ \frac{2\sigma }{{\varepsilon _{o}}}volts/meter $
Show Answer
Answer:
Correct Answer: C
Solution:
Electric field between the plates is $ =\frac{\sigma }{2{\varepsilon _{0}}}-\frac{(-\sigma )}{2{\varepsilon _{0}}} $
$ =\frac{\sigma }{{\varepsilon _{0}}}volt/meter $
