In a pulse circuit

PHYSICS · Subjective · CBSE · Physics · Current Electricity · Current Electricity

Problem

In a pulse circuit, a node P receives an instantaneous current

i_1(t)=5+2\sin \omega t\;\text{A}

through one branch and a steady current of

3.0\,\text{A}

through a second branch. At the same instant a current of

2.0\,\text{A}

leaves the node through a third branch. Let

i_4(t)

be the instantaneous current in the fourth branch. (a) Derive an expression for

i_4(t)

. (b) Calculate the value of

i_4(t)

at the instant when

\omega t=\dfrac{\pi}{2}

, and state its direction relative to the node at that instant.