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Question
A pair of adjacent coils has a mutual inductance of 1.5 H. If the current in one coil changes from 0 to 10 A in 0.2 s, what is the change of flux linkage with the other coil?
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Solution
Data: M = 1.5 H, I1 = 0 A, I2 = 10 A, dt = 0.2 s, Φs = ?
`epsilon = "M" |("d I"_"p")/"dt"|`
`epsilon = "M" |("I"_2 - "I"_1)|/"dt"`
`therefore epsilon = 1.5 |(10 - 0)|/0.2`
`therefore epsilon = (1.5 xx 10)/0.2`
`therefore epsilon = (15 xx 10)/2`
`therefore epsilon` = 75 V
Φs = M IP
Φs = 1.5 × 10
Φs = 15 Wb
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