Question 1
A function N (S) is said to have a pole (or zero) at infinity if the function N (1/S) has a pole (or zero) at S = ?
A. ∞
B. 2
C. 0
D. 1
View Answer
Answer: Option C
Explanation:
A function N (S) is said to have a pole (or zero) at infinity, if the function N (1/S) has a pole (or zero) at S = infinity. A zero or pole is said to be of multiplicity ‘r’ if (S-Z)r or (S-P)r is a factor of P(s) or Q(s).
Question 2
In the driving point admittance function, a pole of Y (s) means a _______ of V (S).
A. zero
B. 1
C. 2
D. 3
View Answer
Answer: Option A
Explanation:
The driving point admittance function Y(s) = I(s)/V(s). In the driving point admittance function, a pole of Y (s) means a zero of V (S) i.e., the short circuit condition.
Question 3
In the driving point admittance function, a zero of Y (s) means a _______ of I (S).
A. 1
B. 2
C. 3
D. zero
View Answer
Answer: Option D
Explanation:
In the driving point admittance function, a zero of Y (s) means a zero of I (S) i.e., the open circuit condition as the driving point admittance function is the ratio of I(s) to V(s).
Question 4
Poles or zeros lying on the jω axis must be?
A. complex
B. at least one complex pole
C. at least one complex zero
D. simple
View Answer
Answer: Option D
Explanation:
Poles or zeros lying on the jω axis must be simple because on jω axis the imaginary part of poles or zeros will be zero.
Question 5
The driving point function is the ratio of polynomials in s. Polynomials are obtained from the __________ of the elements and their combinations.
A. transform voltage
B. transform current
C. transform impedance
D. transform admittance
View Answer
Answer: Option C
Explanation:
The driving point function is the ratio of polynomials in s. Polynomials are obtained from the transform impedance of the elements and their combinations and if the zeros and poles are not repeated then the poles or zeros are said to be distinct or simple.
Question 6
The number of zeros including zeros at infinity is __________ the number of poles including poles at infinity.
A. greater than
B. equal to
C. less than
D. greater than or equal to
View Answer
Answer: Option B
Explanation:
The number of zeros including zeros at infinity is equal to the number of poles including poles at infinity and it cannot be greater than or less than the number of poles including poles at infinity.
Question 7
The pole is that finite value of S for which N (S) becomes __________
A. 0
B. 1
C. 2
D. ∞
View Answer
Answer: Option D
Explanation:
The quantities P1, P2 … Pm are called poles of N (S) if N (S) = ∞ at those points. The pole is that finite value of S for which N (S) becomes infinity.
Question 8
The poles of driving point impedance are those frequencies corresponding to ___________ conditions.
A. short circuit
B. voltage source
C. open circuit
D. current source
View Answer
Answer: Option C
Explanation:
A zero of N(s) is a zero of V(s), it signifies a short circuit. Similarly, a pole of Z(s) is a zero of I(s). The poles of driving point impedance are those frequencies corresponding to open circuit conditions.
Question 9
The real part of all zeros and poles must be?
A. positive or zero
B. negative or zero
C. positive
D. negative
View Answer
Answer: Option B
Explanation:
The real part of all zeros and poles must be negative or zero. But the poles or zeros should not be positive because if they are positive, then they will lie in the right-half of the s-plane.
Question 10
The zeros of driving point impedance are those frequencies corresponding to ___________ conditions.
A. current source
B. open circuit
C. voltage source
D. short circuit
View Answer
Answer: Option D
Explanation:
The zeros of driving point impedance are those frequencies corresponding to short circuit conditions as a pole of Z(s) is a zero of I(s) and zero of N(s) is a zero of V(s), it signifies a short circuit.