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Q#1 Sinusoidal Steady State Analysis GATE EE 1992 MCQ +2 marks -0.66 marks

A constant voltage frequency sinusoidal voltage source of magnitude  is connected to a series circuit made of a resistance of 15Ω, a coil of winding resistance R and inductance L and a 50μF capacitor. The voltage across the 15Ω resistors is 30V, across the coil is 50V, across the capacitor is 40V, The voltage across the combination of the 15Ω resistor and the coil together is 72.11V. Determine the values of the inductance L, winding resistance R and the source voltage V.

L=0.01H, R=15Ω  and V=60V

L=0.02H, R=30Ω  and V=60V

L=0.02H, R=15Ω  and V=30V

L=0.02H, R=15Ω  and V=60V

Explanation:

The circuit configuration for the data given is shown below,

C:\Users\Ankit\Dropbox\GATE papers\EE papers\Solutions\network\Network 91-01\Network Images\68.jpg

                        --------------(1)

        --------------(2)

The voltage across resistance R and 15Ω is in phase and voltage in Inductor is 90° leading with respect to resistor voltage.

From equation 2

Since,

Put the value of ‘R’ & ‘ω’ in equation 2

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