Question

in parts a - c consider the four phasors shown in the diagram (figure 2). assume that all four phasors have the same angular frequency ω .Part A At the moment t depicted in the diagram, which of the following statements is true? A) I2 leads I1 by π. B) I1 leads 12 by π. C) I2 leads I1 by π D) I1 leads 12 by π.

Answer 1

Without access to the specific diagram (figure 2) mentioned in the question, an exact answer cannot be given. However, it is known that in AC circuits, a current phasor in a capacitor leads the voltage phasor by π/2 rad, whereas in an inductor, the current phasor lags by π/2 rad.

Step-by-step explanation:

The student's question is related to the phase relationships between current and voltage in AC circuits, as represented on a phasor diagram. In the case of a capacitor, the current phasor leads the voltage phasor by π/2 radians. For an inductor, the situation is the reverse: the current phasor lags the voltage phasor by π/2 radians. Since all phasors are rotating at the same angular frequency ω, this lead or lag is constant in time. If I1 is associated with a capacitor and I2 with an inductor, as an example, then I2 would lead I1 by π/2, not π radians. Without the diagram, we cannot provide a specific answer to the question posed, but we can provide this context for the student to apply to the specific scenario. The options provided in the question (A to D) seem to contain an error with the repeated statements, so a careful review of the question and corresponding diagram is necessary to determine the correct phase relationship between I2 and I1.

Answer 2

In the given phasor diagram, I2 leads I1 by π/2 rad.

Step-by-step explanation:

Based on the information provided, we can determine that in the phasor diagram, I2 leads I1 by л/2 rad (or π/2 rad). Therefore, the correct statement is:

C) I2 leads I1 by π/2 rad.