MHB Describing the resulting current

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The resulting current in the circuit is the superposition of I1 = 2 cos t and I2 = -2 sin t, which can be combined into a single trigonometric function. This can be rewritten as I = 2√2 cos(t + π/4), indicating a maximum current of 2√2, a phase shift of π/4, and a period of 2π. The graph of the resulting current will oscillate between ±2√2, demonstrating the effects of both components. Technology can be utilized to visualize this sum, confirming the characteristics of the resulting current. Understanding these properties is essential for analyzing alternating current circuits effectively.
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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.
 
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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.

What resources/directions have you been given to complete this problem?

Are you to rewrite $I_1+I_2$ in terms of a single trig function and describe the graph of the current sum in terms of max current, phase shift, period, etc.

... or can you just graph the sum using technology to do the above?
 
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