R-C circuits

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Question

The circuit shown in the figure consists of a charged capacitor of capacity $3 μ F$ and a charge of $30 μ C$ . At time t=0 , when the key is closed, the value of current flowing through the $5 M Ω$ resistor is ‘x’ $μ A$ .
The value of ‘x’ to the nearest integer is ____

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Solution

$A t t = 0 c a p a c i t o r w i l l b e h a v e l i k e a b a t t e r y S o Q = C V \Rightarrow 30 \times 10^{- 6} = 3 \times 10^{- 6} \times V \Rightarrow V = 10 v o l t A p p l y i n g O h m' s L a w, V = I R \Rightarrow 10 = I \times 5 \times 10^{6} \Rightarrow I = \frac{10}{5 \times 10^{6}} = 2 \times 10^{- 6} = 2 μ A$

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R-C circuits

Remember concepts with our Masterclasses.

The circuit shown in the figure consists of a charged capacitor of capacity 3μF and a charge of 30μC . At time t=0 , when the key is closed, the value of current flowing through the 5 MΩ resistor is ‘x’μA.The value of ‘x’ to the nearest integer is ____

At t=0 capacitor will behave like a battery So Q=CV ⇒30×10−6=3×10−6×V ⇒V=10 volt Applying Ohm's Law , V=IR ⇒10=I×5×106 ⇒I=105×106=2×10−6=2μA

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The circuit shown in the figure consists of a charged capacitor of capacity $3 μ F$ and a charge of $30 μ C$ . At time t=0 , when the key is closed, the value of current flowing through the $5 M Ω$ resistor is ‘x’ $μ A$ .
The value of ‘x’ to the nearest integer is ____