(a) A student claims that in a series circuit with , the phasor representing the…

PHYSICS · Subjective · CBSE · Physics · Alternating Current · Alternating Current

Problem

(a) A student claims that in a series RLCRLC circuit with XL>XCX_L > X_C, the phasor representing the inductive voltage VLV_L should be drawn downward, while the capacitive voltage VCV_C should be drawn upward with respect to the reference axis of the current. He also places the resultant supply voltage VV exactly along the positive xx–axis. (i) Identify any two conceptual errors present in the student’s description of the phasor diagram. (ii) Redraw a qualitatively correct phasor diagram for the same circuit, clearly showing the directions of VRV_R, VLV_L, VCV_C, the resultant voltage VV, and the phase angle ϕ\phi between VV and II. (iii) Explain, with reasons, how your corrected diagram satisfies Kirchhoff’s voltage law in phasor form.

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