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Find the moment of force about the point

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Reference no: EM132688335

1. a. A force 15 N acts along i- 2j - 2k and passes through the point 2i - 2j - 2k. Find the moment of this force about the point

b. Show that the vector field F = 2xyi + (x2 + 2yz)j + (y2 + 1 )k is conservative and find the scalar potential.

2. In the circuits containing capacitors and inductors can be analyzed by replacing a capacitor of capacitance C by a "complex impedance" 1/(iωC) and an inductor of inductance L by an impedance iωL, where ω is the angular frequency of the currents flowing and i2 = -1.
Use this approach and Kirchhoff's circuit laws to analyze the circuit shown below and obtain three linear equations governing the currents I1, I2 and I3. Show that the only possible frequencies of self-sustaining currents satisfy either

a. ω2 LC = 1 or

b. 3ω2 LC = 1.

Reference no: EM132688335

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