In a three-phase system, if the phase current is 20 A in a delta connection, what is the line current?
20/√3 A
In a delta connection, the line current is related to the phase current by a factor of √3. The relationship between line current (\(I_L\)) and phase current (\(I_P\)) in a delta connection is given by:
\(I_L = \sqrt{3} I_P\)
However, this formula calculates the line current *when given the phase current*. The question gives the phase current. To find the phase current from the line current, we rearrange the formula:
\(I_P = \frac{I_L}{\sqrt{3}}\)
Given that the phase current (\(I_P\)) is 20 A, we can calculate the line current (\(I_L\)):
\(I_L = \frac{20 A}{\sqrt{3}}\)
Therefore, the line current is \(20/\sqrt{3}\) A.
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