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Network Analysis
Sinusoidal Steady State Analysis

Practice questions from Sinusoidal Steady State Analysis.

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Q#1 Sinusoidal Steady State Analysis GATE EC 2025 (Set 1) MCQ +1 mark -0.33 marks

Let , and  be the currents flowing through the capacitor, inductor, and resistor, respectively, in the circuit given below. The AC admittances are given in Siemens (S).

Which one of the following is TRUE?

Explanation:

Admittances:

 

 

 

 

 

 

Hence, option (a) is correct. 

Q#2 Sinusoidal Steady State Analysis GATE EC 2025 (Set 1) MCQ +2 marks -0.66 marks

In the circuit below,  is an ideal AC voltmeter and  is an ideal AC ammeter. The source voltage (in Volts) is .

What should be the value of the variable capacitor  such that the RMS readings on  and  are 25 V and 5 A, respectively?

Insufficient information to find C

Explanation:

 

 

 

 

 

 

 

 

 

 

Hence, option (a) is correct.

Q#3 Sinusoidal Steady State Analysis GATE EC 2023 (Set 1) MCQ +1 mark -0.33 marks

A series RLC circuit has a quality factor  of 1000 at a center frequency of . The possible values of  and  are

 and

 and

 and  

 and

Explanation:

Given: Quality factor,  and center frequency

Quality factor for series RLC circuit is given by

Quality factor,

Also, center frequency,

 

 

So,  and