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Comprehension
A circular parallel plate capacitor having plate radius \( R \) is charged by means of a cell at time \( t=0 \). The variation of the current through the connecting wires with time is shown in figure.

In the above problem, Assuming \( i_{0}=5 \mathrm{~A} \), what will be the time rate of electric flux change through the area at \( t=100 \mu \mathrm{s} ? \)
(a) \( 2.08 \times 10^{11} \mathrm{~N}-\mathrm{m}^{2} / \mathrm{C}-\mathrm{s} \)
(b) \( 4.16 \times 10^{11} \mathrm{~N}-\mathrm{m}^{2} / \mathrm{C}-\mathrm{s} \)
(c) \( 6.24 \times 10^{11} \mathrm{~N}-\mathrm{m}^{2} / \mathrm{C}-\mathrm{s} \)
(d) \( 1.66 \times 10^{12} \mathrm{~N}-\mathrm{m}^{2} / \mathrm{C}-\mathrm{s} \)
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