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In the circuit, as shown in the figure, ...

In the circuit, as shown in the figure, if the value of `R.M.S` current is 2.2 ampere, the power factor of the box is `(E = 220 V)`

A

`1/sqrt(2)`

B

`1`

C

`sqrt(3)/2`

D

`1/2`

Text Solution

Verified by Experts

The correct Answer is:
A
`Z=V_(rms)/I_(rms)=100 Omega` which is equal to `R`
therefore
`X_(L)=X_(C ) implies X_(C )=omegaL=100Omega`
`cosphi=R/sqrt(R^(2)+X_(C )^(2)) =100/sqrt((100)^(2)+(100)^(2))=1/sqrt(2)`
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