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Currents I1, I2 and I3 meet at a junction in a circuit. All currents are marked as entering the node. If I1 = -6sin(ωt) mA and I2 = 8 cos(ωt) mA, the I3 is ________

Currents I1, I2 and I3 meet at a junction in a circuit. All currents are marked as entering the node. If I1 = -6sin(ωt) mA and I2 = 8 cos(ωt) mA, the I3 is ________ Correct Answer -10 cos(ωt + 36.87) mA

Applying KCL, we get, I1 + I2 + I3 = 0 ∴ -6 sin(ωt) + 8 cos(ωt) + I3 = 0 ∴ I3 = 6 sin (ωt) – 8 cos (ωt) = 10 =-10 = -10 cos (ωt + 36.86) .

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