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A resistance of 40 ohms and an inductanc...

A resistance of `40` ohms and an inductance of `95.5` millihenry are connected in series in a `50` cycle/sec AC circuit. The impedence of this combination is very nearly

A

`30Omega `

B

`40 Omega`

C

`50 Omega`

D

`60Omega`

Text Solution

Verified by Experts

`Z = sqrt ( R ^(2) + X _(L) ^(2)) = sqrt ( R ^(2) + (2 pi v L ) ^(2))`
`Z = sqrt ((40) ^(2) + 4pi ^(2) xx (50) ^(2) xx (95.5 xx 10 ^(-3) ) ^(2)) = 50 Omega`
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