The number of turns in the primary and secondary coils of a transformer are 5 and 10 respectively. The mutual inductance is 25 H. If the number of turns in the primary and secondary coils are changed to 10 and 5 respectively, then the mutual inductance (in henry) will be :-6.2512.52550
Question
The number of turns in the primary and secondary coils of a transformer are 5 and 10 respectively. The mutual inductance is 25 H. If the number of turns in the primary and secondary coils are changed to 10 and 5 respectively, then the mutual inductance (in henry) will be :-6.2512.52550
Solution
To find the new mutual inductance when the number of turns in the primary and secondary coils are changed, we can use the formula:
M2 = (M1 * N1 * N2) / (N1' * N2')
Where: M1 = initial mutual inductance (25 H) N1 = initial number of turns in the primary coil (5) N2 = initial number of turns in the secondary coil (10) N1' = new number of turns in the primary coil (10) N2' = new number of turns in the secondary coil (5)
Substituting the given values into the formula, we have:
M2 = (25 * 5 * 10) / (10 * 5) M2 = 125 / 50 M2 = 2.5 H
Therefore, the new mutual inductance will be 2.5 H.
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