# Problem: The capacitor in the figure shown is initially uncharged. The switch is closed at t = 0.Immediately after the switch is closed, what is the current through each resistor?

###### FREE Expert Solution

Equivalent resistance for parallel resistors is

$\overline{)\frac{\mathbf{1}}{{\mathbf{R}}_{\mathbf{e}\mathbf{q}}}{\mathbf{=}}\frac{\mathbf{1}}{{\mathbf{R}}_{\mathbf{1}}}{\mathbf{+}}\frac{\mathbf{1}}{{\mathbf{R}}_{\mathbf{2}}}}$

Equivalent resistance for series resistors:

Ohm's law:

$\overline{){\mathbf{V}}{\mathbf{=}}{\mathbf{i}}{\mathbf{R}}}$

We'll assume that the capacitor has no resistance at t = 0.

R2 and R3 are in parallel:

R23 = (1/R2 + 1/R3)-1 = (1/6.00 + 1/3.00)-1 = 2.00 Ω

R1 is in series with R23:

###### Problem Details

The capacitor in the figure shown is initially uncharged. The switch is closed at t = 0.

Immediately after the switch is closed, what is the current through each resistor?