A capacitor connected to a junction draws current away from the junction

PHYSICS · Subjective · AP · Physics 2: Algebra-based · Electric Circuits · Electric Circuits

Problem

A capacitor connected to a junction draws current

I_C(t)=5e^{-t/2}\,\text{A}

away from the junction, while a sinusoidal source supplies current

I_S(t)=4\sin(\pi t)\,\text{A}

into the junction, where

t

is in seconds. The only other branch contains a resistor. Determine the current in the resistor at

t=1.0\,\text{s}

and state whether it is directed into or out of the junction.