A junction receives current I_ in (t)=4t^ 2 ; A through one branch and delivers…

PHYSICS · Single correct · CBSE · Physics · Current Electricity · Current Electricity

Problem

A junction receives current

I_{\text{in}}(t)=4t^{2}\;\text{A}

through one branch and delivers current

I_{\text{out}}(t)=6t\;\text{A}

through a second branch, where

t

is in seconds and positive values indicate the stated directions (toward the junction for

I_{\text{in}}

, away from the junction for

I_{\text{out}}

). A third branch

D

carries current

I_D(t)

toward the junction. Determine the net charge that flows through branch

D

into the junction between

t=0

and

t=2\,\text{s}

. (a)

-1.3\,\text{C}

(b)

4.0\,\text{C}

(c)

1.3\,\text{C}

(d)

2.3\,\text{C}