Em Waves Question 113
Question: In order to establish an instantaneous displacemet current of $ 1mA $ in the space between the plates of $ 2\mu F $ parallel plate capacitor, the potential difference need to apply is
Options:
A) $ 100V{{s}^{-1}} $
B) $ 200V{{s}^{-1}} $
C) $ 300V{{s}^{-1}} $
D) $ 500V{{s}^{-1}} $
Show Answer
Answer:
Correct Answer: D
Solution:
[d] $ I _{d}=1, $
$ mA={{10}^{-3}},A $
$ C=2\mu F=2\times {{10}^{-6}}F $
$ I _{D}=I _{C}=\frac{d}{dt}(CV)=C\frac{dV}{dt} $
Therefore, $ \frac{dV}{dt}=\frac{I _{D}}{C}=\frac{{{10}^{-3}}}{2\times {{10}^{-6}}}=500,V{{s}^{-1}} $
Therefore, applying a varying potential difference of $ 500,V,{{s}^{-1}} $ would produce a displacement current of desired value.
BETA
