Question

The sending end voltage of a line is \(33\ \text{kV}\) and the receiving end voltage is \(30\ \text{kV}\). The voltage regulation of the line is

• A. \(3\%\)
• B. \(5\%\)
• C. \(10\%\)
• D. \(11\%\)

Hint:

Voltage regulation is calculated with respect to receiving end voltage: \(\frac{V_s-V_r}{V_r}\times100\).

Answer 1

The Correct Option is C

Concept: Voltage regulation is: \[ \%VR=\frac{V_s-V_r}{V_r}\times 100 \] where \(V_s\) is sending end voltage and \(V_r\) is receiving end voltage.

Step 1: Given: \[ V_s=33\ \text{kV} \] \[ V_r=30\ \text{kV} \]

Step 2: Difference between sending and receiving end voltage: \[ V_s-V_r=33-30=3\ \text{kV} \]

Step 3: Apply voltage regulation formula. \[ \%VR=\frac{3}{30}\times 100 \] \[ \%VR=10\% \] Therefore: \[ \boxed{10\%} \]