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The instantaneous voltage through a devi...

The instantaneous voltage through a device of impendance 20 `Omega` is V=`80sin100pit`. The effective value of the current is

A

3A

B

`2.828A`

C

`1.732A`

D

4A

Text Solution

Verified by Experts

Given equation is `e = 80 sin 100 pi t `
`therefore ` peak value of the voltage is 80 V
Current ampltude `I _(m) = (e _(0))/(Z)`
`I _(m) = ( 80)/(20) = 4 A`
Effectiv current or root mean square current
`I _(rms) = (4)/( sqrt2) = (4 sqrt2)/(2) = 2 sqrt2 = 2.8228A`
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