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Pemutation & Combination L2

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Pemutation & Combination L1

Rotation L2

The dimension of combination (L)/(CVR) are same as dimensions of :-

Show that if two inductors with equal inductance L are connected in parallel then the equivalent inductance of combination is L//2 .The inductors are separated by a large distance.

Conic Section L2

It is desired to make an achromatic combination of two lenses, (L_(1)& L_(2)) made of materials having dispersive power omega_(1) and omega_(2)(ltomega_(1)) . If the combination of lenses is converging then:

If two rods of lengths L and 2L having coefficients a and 2a are joined in series Find a of combination. (A) (2)/(3)alpha (B) (1)/(2)alpha (C)(5)/(3)alpha (D) (3)/(6)alpha

In Fig. coil 1 and coil 2 are wound on a long cylindrical insulator. The ends A' and B are joined together and current I is passed. Self-inductance of the two coils are L_(1) and L_(2) , and their mutual inductance is M . a. Show that this combination can be replaced by a single coil of equivalent inductange given by L_(eq) = L_(1) + L_(2) + 2M . b. How could the coils be reconnected by yieldings an equivalent inductance of L_(eq) = L_(1) + L_(2) - 2M .

Two series resonant circuits with component values L_(1) C_(1) and L_(2) C_(2) , respectively have the same resonant frequency, They are then connected in series, so that the combination has the same resonant frequency