1.

An a.c. voltage source of `E = 150 sin 100 t` is used to run device, which offers a resistance of 20 ohm and restricts the flow of current in one direction only. Calcualte the average and rms value of current in the circuit.

Answer» Here, `E = 150 sin 100 t, R = 20 ohm`
`:. E_(0) = 150 V, I_(0) = (E_(0))/(R ) = (150)/(20) = 7.5 A`
As the flow current is restricted in one direction only, therefore, average value of current,
`I_(av) = (I_(0))/(pi)` (instead of `2I_(0)//pi`)
`= (7.5)/(3.14) = 3.93 A`
and rms value of current
`I_(rms) = (I_(0))/(sqrt2 sqrt2)` (instead of `I_(0)//sqrt2`)
`= (7.5)/(2) = 3.75 A`


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