arrow
arrow
arrow
Select the correct statement for a medium overhead transmission line.
Question

Select the correct statement for a medium overhead transmission line.

A.

Load current is directly proportional to the square of load power factor.

B.

Load current is directly proportional to the load power factor.

C.

Load current is inversely proportional to the square of load power factor.

D.

Load current is inversely proportional to the load power factor.

Correct option is D

Given: Type of line: Medium overhead transmission line (length between 80 km to 200 km) Power formula for a 3-phase system:Formula Used:P=3VLILcosϕ=>IL=P3VLcosϕWhere, P=Power VL=Line voltage IL=Load current cosϕ=Load power factorExplanation:From the above formula,IL1cosϕThis clearly shows that the load current is inversely proportional to the load power factor.Therefore, as the power factor increases, the current decreases, and vice versa.\text{Given:} \\[4pt]\bullet \; \text{Type of line: Medium overhead transmission line (length between 80 km to 200 km)} \\[4pt]\bullet \; \text{Power formula for a 3-phase system:} \\[6pt]\text{Formula Used:} \\[4pt]P = \sqrt{3} V_L I_L \cos \phi \Rightarrow I_L = \frac{P}{\sqrt{3} V_L \cos \phi} \\[10pt]\textbf{Where,} \\[4pt]\bullet \; P = \text{Power} \\[4pt]\bullet \; V_L = \text{Line voltage} \\[4pt]\bullet \; I_L = \text{Load current} \\[4pt]\bullet \; \cos \phi = \text{Load power factor} \\[10pt]\textbf{Explanation:} \\[4pt]\text{From the above formula,} \\[4pt]I_L \propto \frac{1}{\cos \phi} \\[10pt]\text{This clearly shows that the load current is inversely proportional to the load power factor.} \\[4pt]\text{Therefore, as the power factor increases, the current decreases, and vice versa.}​​

test-prime-package

Access ‘SSC JE Electrical’ Mock Tests with

  • 60000+ Mocks and Previous Year Papers
  • Unlimited Re-Attempts
  • Personalised Report Card
  • 500% Refund on Final Selection
  • Largest Community
students-icon
354k+ students have already unlocked exclusive benefits with Test Prime!
test-prime-package

Access ‘SSC JE Electrical’ Mock Tests with

  • 60000+ Mocks and Previous Year Papers
  • Unlimited Re-Attempts
  • Personalised Report Card
  • 500% Refund on Final Selection
  • Largest Community
students-icon
354k+ students have already unlocked exclusive benefits with Test Prime!
Our Plans
Monthsup-arrow