A) \[i\]
B) \[i/2\]
C) \[i/4\]
D) \[i/8\]
Correct Answer: B
Solution :
[b] Charge on Capacitor plates at time t is, q=it Electric field between the plates at this instant. \[E=\frac{q}{A{{\varepsilon }_{0}}}=\frac{it}{A{{\varepsilon }_{0}}}\] Electric flux through the given area \[{{\phi }_{E}}=\left( \frac{A}{2} \right)E=\frac{it}{2{{\varepsilon }_{0}}}\] Therefore, displacement current \[{{i}_{d}}={{\varepsilon }_{0}}\frac{d{{\phi }_{E}}}{dt}={{\varepsilon }_{0}}\frac{d}{dt}\left( \frac{it}{2{{\varepsilon }_{0}}} \right)=\frac{i}{2}\]
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