Physics

Physics

Problem

Positive current values denote charge flowing toward a junction. Three branches carry IA(t)=3.0e−0.5t  A  (toward),IB(t)=ke−0.5t  A  (away),IC(t)=2.0e−0.5t  A  (toward).I_A(t)=3.0e^{-0.5t}\;\text{A}\;(\text{toward}), \qquad I_B(t)=k e^{-0.5t}\;\text{A}\;(\text{away}), \qquad I_C(t)=2.0e^{-0.5t}\;\text{A}\;(\text{toward}). For the junction rule to hold at every instant, what constant value must kk have? a) k=4.0k = 4.0 b) k=5.0k = 5.0 c) k=1.0k = 1.0 d) k=7.0k = 7.0

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