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Linear Circuits I

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Problem 130 of 132

AC Nodal Analysis With Two Sources

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v1(t)=5cos⁡(500t) Vv_1(t) = 5\cos(500t)\ \text{V} and v2(t)=20cos⁡(500t+90∘) Vv_2(t) = 20\cos(500t + 90^\circ)\ \text{V}. Find the amplitude of the steady-state node voltage vv, in volts.

v1​5 VR50 ΩC100 µFL50 mHv2​20 Vv
V

Answers within 2% are accepted. Units with SI prefixes work too, like 0.003 A or 3 mA. Use a minus sign for negative values.

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