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Q#1 Sinusoidal Steady State Analysis GATE EE 2016 MSQ +1 mark -0.33 marks

A resistance and a coil connected in series and supplied from a phase, 100V, 50Hz ac source as shown in the figure below. The rms values of possible voltages across the resistance  and coil  respectively, in volts are

4.jpg`

65, 35

50, 50

60, 90

60, 80

Explanation:

Let,

is the voltage across resistance of coil

is the voltage across inductance of coil

D:\1Mayu\gate-14\Gate-2016\Diagrams\d-2\7.PNG

Since,

Option A:

Given,

                       …………….(1)

Applying KVL in loop,

        ………….…(2)

Putting the values of in equation (2)

Putting this value in equation (1)

This means voltage across inductance = 0

This is not possible and hence option is incorrect.

Option B,

Not possible so option B is also wrong.

Option C:

Putting these values in eq (2)

Voltage across resistance can’t be negative so option C is also wrong.

Option D:

Putting in eqn (2)

This is only possible when coil is ideal but in question coil is not ideal, so this is also wrong.

Note: There is something wrong in the question and marks to all were given in this question by the GATE committee.

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