Question:
The breakaway point of the root locus on the real axis for a closed loop system with a loop gain \( G(s) = \frac{K(s+10)}{(s+2)(s+5)} \) is:
The breakaway point of the root locus on the real axis for a closed loop system with a loop gain \( G(s) = \frac{K(s+10)}{(s+2)(s+5)} \) is:
Show Hint
Breakaway points occur between two real poles or zeros where root locus exists.
Updated On: May 26, 2025
- between -2 and origin
- between -2 and -5
- between -10 and \( -\infty \)
- at \( -\infty \)
Show Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
The root locus exists on real axis to the left of odd number of poles and zeros. Poles are at -2 and -5. So, root locus lies between -2 and -5 on the real axis, and the breakaway point lies in this interval.
Was this answer helpful?
0
0
Top TS PGECET Instrumentation Engineering Questions
- The energy stored in a capacitor \( C \) when a voltage \( V \) exists across it is:
- The mechanical force per unit charge at a given point is called:
- Force on a current-carrying conductor placed in a magnetic field is given by:
- "Whenever magnetic flux linked with a closed coil changes, an induced emf is setup in the coil and lasts as long as the change in magnetic flux continues." This is:
- Internal resistance of an ideal voltage source is:
View More Questions
Top TS PGECET Control Systems Questions
- If the open loop transfer function of the negative feedback control system is \[ G(s)H(s) = \frac{k}{(s+1)^3}, \] then the gain $k$ for a closed loop pole at \[ \left( \frac{1}{2} + j\frac{\sqrt{3}}{2} \right) \] is:
- A transfer function has two zeros at infinity. Then the relation between the numerator degree (N) and the denominator degree (M) of the transfer function is:
- The transfer function of the system is the Laplace transform of its
- A temperature control system is usually very sluggish. To improve its dynamics:
- A first order system with a proportional controller exhibits an offset to step input. The offset can be reduced by:
View More Questions
Top TS PGECET Questions
- If \( P = \begin{pmatrix} 1 & 1 & 1 \\ 0 & 1 & 2 \\ 0 & 0 & 1 \end{pmatrix} \) is the modal matrix of \( A = \begin{pmatrix} 1 & 1 & 0 \\ 0 & 2 & 2 \\ 0 & 0 & 3 \end{pmatrix} \) then the sum of all the elements of \( P^{-1}AP \) is
- If the system of equations \( kx + y + z = k - 1 \), \( x + ky + z = k - 1 \), and \( x + y + kz = k - 1 \) has infinite solutions, then \( k \) is
- The value of the integral \( \int_C (2xy - x^2) \, dx + (x^2 + y^2) \, dy \) where \( C \) is the boundary of the region enclosed by \( y = x^2 \) and \( y^2 = x \), described in the positive sense, is
- Let \( f(x) = \log x \). The number \( C \) strictly between \( e^2 \) and \( e^3 \) such that its reciprocal is equal to \( \frac{f(e^3) - f(e^2)}{e^3 - e^2} \) is
- The solution of the differential equation \( (D^2 + 2)y = x^2 \) is
View More Questions