(Solved): Given the RC circuit below find the time constant \( \tau \), the voltage across the capacitor \( ...

Given the RC circuit below find the time constant \( \tau \), the voltage across the capacitor \( \mathrm{V}_{\mathrm{c}} \) and the current through the circuit \( \mathrm{I} \) at \( \mathrm{t} \) \( =5 \) seconds. (1 pt each) (Don't worry about phase angles because it's a DC circuit) Recall this is a DC circuit so be sure to use the right formulas. \[ \text { tau }= \] \[ V_{c}= \]