# Problem: A 480 ohm resistor, an uncharged 1.65 microfarad capacitor, and a battery with a 6.19 V potential difference are connected in series.a) what is the initial current in mA, immediately after they are connected?b) What is the RC time constant in s?c) what is the current, one time constant after they are connected, in milliamps?d) what is the voltage on the capacitor after one time constant in V?

###### FREE Expert Solution

Current in RC circuit:

$\overline{){\mathbf{i}}{\mathbf{=}}{{\mathbf{i}}}_{{\mathbf{0}}}{{\mathbf{e}}}^{\mathbf{-}\mathbf{t}\mathbf{/}\mathbf{R}\mathbf{C}}}$

The time constant in RC circuit:

$\overline{){\mathbf{\tau }}{\mathbf{=}}{\mathbf{R}}{\mathbf{C}}}$

Ohm's law:

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

a)

i0 is given by Ohm's law.

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###### Problem Details

A 480 ohm resistor, an uncharged 1.65 microfarad capacitor, and a battery with a 6.19 V potential difference are connected in series.

a) what is the initial current in mA, immediately after they are connected?

b) What is the RC time constant in s?

c) what is the current, one time constant after they are connected, in milliamps?

d) what is the voltage on the capacitor after one time constant in V?