Question 487: Electrostatics & Capacitance

Question

In the given circuit diagram, in the steady state the current through the battery and the charge on the capacitor respectively are

Accepted Answer

In the steady state of the given circuit, the current through the capacitor is zero. This implies that there is no current flowing through the 4 ÃÂ© resistor.
To find the effective resistance (R_eq) for the parallel combination of the other resistors (1 ÃÂ©, 2 ÃÂ©, and 3 ÃÂ©), we use:
$ \frac{1}{R_{	ext{eq}}} = \frac{1}{1} + \frac{1}{2} + \frac{1}{3} = \frac{6 + 3 + 2}{6} = \frac{11}{6} $
The total current (I) flowing through the circuit is given by:
$ I = \frac{V}{R_{	ext{eq}}} = \frac{6 	ext{ V} 	imes 11}{6} = 11 	ext{ A} $
For the charge on the capacitor, we use the formula $ Q = CV $, where C is the capacitance and V is the voltage across the capacitor:
$ Q_C = 0.5 	ext{ ÃÂ¼F} 	imes 6 	ext{ V} = 3 	ext{ ÃÂ¼C} $

Answer

2 A and $3 \mu \mathrm{C}$

Answer

$\frac{6}{11} \mathrm{~A}$ and $\frac{12}{7} \mu \mathrm{C}$

Answer

11 A and $3 \mu \mathrm{C}$

Answer

zero ampere and $3 \mu \mathrm{C}$

Electrostatics & Capacitance

In the given circuit diagram, in the steady state the current through the battery and the charge on the capacitor respectively are

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