Transformers are very versatile devices. The basic concept of energy transfer between mutual inductors is useful enough between a single primary and single secondary coil, but transformers don't have to be made with just two sets of windings.
A 1:1 transformer has the same number of windings on the primary as on the secondary. This means that voltage in = voltageout and the transformer can be used as an isolation transformer.
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laplace of sin(at) = (a ) / (s^2 + a^2) thus, laplace of sin 23t, just fill in for a=23 (23) / (s^2 + 23^2) thats it...
Load halved means the power is halved.Voltage being (assumed) constant, the current is halved. P (Load in Watts)= V x I Hence P/2= V x I/2
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One times one equal one.
one half of one pound