Question

The following columns present various modes of induction machine operation and the ranges of slip: \[ \begin{array}{c|c} A: Mode of operation & B: Range of Slip
\hline a.\; \text{Running in generator mode} & p) 0.0 \; \text{to} \; 1.0
b.\; \text{Running in motor mode} & q) 1.0 \; \text{to} \; 2.0
c.\; \text{Plugging in motor mode} & r) -1.0 \; \text{to} \; 0.0
\end{array} \] Find the correct matching.

• A. a-r, b-p, c-q
• B. a-r, b-q, c-p
• C. a-p, b-r, c-q
• D. a-q, b-p, c-r

Hint:

Induction machine slips: Motor mode \(0<s<1\), Generator mode \(s<0\), Plugging \(s>1\).

Answer 1

The Correct Option is A

Step 1: Recall slip definition.
Slip: \[ s = \frac{N_s - N}{N_s}. \] - Motor mode: \(0 < s < 1\). - Generator mode: \(s < 0\). - Plugging mode: \(s > 1\).

Step 2: Match each.
- Generator mode: \(s < 0 \Rightarrow r (-1.0 \text{ to } 0.0)\). - Motor mode: \(0 < s < 1 \Rightarrow p (0.0 \text{ to } 1.0)\). - Plugging: \(s > 1 \Rightarrow q (1.0 \text{ to } 2.0)\).

Final Answer: \[ \boxed{a-r, b-p, c-q} \]