Question 153: Electrostatics & Capacitance

Question

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

Accepted Answer

At time t
$$q = Q{e^{ - t/RC}}$$
$$I =$$ $${{dq} \over {dt}}$$ = $${Q \over {RC}}{e^{ - t/RC}}$$
at $$t = 0,I = {Q \over {RC}}{e^{ - 0/RC}}$$
$$I = {Q \over {RC}} = {{30} \over {5 	imes {{10}^6} 	imes 3}} = 2 	imes {10^{ - 6}}$$ A
$$ \Rightarrow $$ I = 2$$\mu$$A

Electrostatics & Capacitance

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

Integer / Numeric Answer Type