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Example 1
A motor connected to a 240V 50Hz supply
takes a current of 5A at a lagging power factor
of 0.5.

(a)What is the value of the capacitor needed to
 improve the power factor to 0.9 (lagging)?

(b)What must its VAR rating be?
pf = cos Φ
Φ = cos¯¹ λ
Φ1 = cos¯¹ λ 
= cos¯¹ 0.5
 = 60⁰
Φ2 = cos¯¹ λ 
= cos¯¹ 0.9
 = 26⁰
(3.1 A)

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8.3.2 Example 1a

  • 1. Example 1 A motor connected to a 240V 50Hz supply takes a current of 5A at a lagging power factor of 0.5. (a)What is the value of the capacitor needed to improve the power factor to 0.9 (lagging)? (b)What must its VAR rating be?
  • 2. pf = cos Φ Φ = cos¯¹ λ Φ1 = cos¯¹ λ = cos¯¹ 0.5 = 60⁰ Φ2 = cos¯¹ λ = cos¯¹ 0.9 = 26⁰
  • 3.
  • 4.
  • 5.
  • 6.
  • 7.