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QJEEM21Phc739: JEE Main 2021 Physics - Class 12 JEEM21Phc739 Solution: The circuit shown in the figure consists of a charged capacitor …

The circuit shown in the figure consists of a charged capacitor of capacity 3 μ\mu F and a charge of μ\mu C. At time t = 0, when the key is closed, the value of current flowing through the 5 M Ω\Omega resistor is 'x' μ\mu -A. The value of 'x to the nearest integer is ___________.

JEE Main 2021 (Online) 18th March Morning Shift Physics - Capacitor Question 83 English

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JEE Main 2021 (Online) 18th March Morning Shift Physics - Capacitor Question 83 English Explanation

At time t

q=Qe−t/RCq = Q{e^{ - t/RC}}

I=I = dqdt{{dq} \over {dt}} = QRCe−t/RC{Q \over {RC}}{e^{ - t/RC}}

at t=0,I=QRCe−0/RCt = 0,I = {Q \over {RC}}{e^{ - 0/RC}}

I=QRC=305×106×3=2×10−6I = {Q \over {RC}} = {{30} \over {5 \times {{10}^6} \times 3}} = 2 \times {10^{ - 6}} A

⇒\Rightarrow I = 2 μ\mu A

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