Posts

*Laws of log

*Laws of log

 

*Componendo & dividendo

*Componendo & dividendo

*Harmonic functions

*Harmonic function

Functions which are periodic as well as bounded are called harmonic functions

sinθ & cosθ are harmonic.

*Even & odd functions

*Even & odd functions

A function f (x) is called even, if f (- x) = + f (+x).

called, odd, if f (- x) = – f (+x).

otherwise called neither even nor odd.

cos and sec are even and remaining tan, cot, csc & sin are odd, thus

cos(- x) =  + cos x & sec(- x) = + secx

sin(- x) = – sin x & csc(- x) = – csc x

tan(- x) = – tan x & cot(- x) = – cot x

^A long horizontal fixed wire carries a current of 100 A. Directly above and parallel to it is another wire carrying a current of 20 A and weighing 0.04 N/m.

^A long horizontal fixed wire carries a current of 100 A. Directly above and parallel to it is another wire carrying a current of 20 A and weighing 0.04 N/m. The separation between the two wires so that the upper wire is just supported by the magnetic repulsion is

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