The resulting current in the circuit is the superposition of two alternating currents, I1 = 2 cos t and I2 = -2 sin t. By applying trigonometric identities, the combined current can be expressed as I_total = 2√2 cos(t + π/4), indicating a maximum current of 2√2, a phase shift of π/4, and a period of 2π. This analysis provides a clear understanding of the behavior of the resulting current over time.
PREREQUISITESElectrical engineers, physics students, and anyone analyzing alternating current waveforms will benefit from this discussion.
osafi52 said:Suppose that the current flowing in an electric circuit is the sum (superposition) of two alternating currents, one given by I1 = 2 cos t and the other given by I2 = −2 sin t at time t. Carefully describe the resulting current in the circuit.