Practice over 1000+ GATE-level questions from this topic!
Designed to match the latest GATE pattern with topic-wise precision, difficulty tagging, and detailed solutions.
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
`
65, 35
50, 50
60, 90
60, 80
Let,

is the voltage across resistance of coil
is the voltage across inductance of coil

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.