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A pure resistive circuit element 'x' whe...

A pure resistive circuit element `'x'` when connected to an `A.C` supply of peak voltage `100 V` gives a peak current of `4 A` which is in phase with the voltage. A second circuit element `'y'` when connected to the same `AC` supply also gives the same value of peak current but the current lags behind by `90^(@)`. If the series combination to of `'x'` and `'y'` is connected to the same supply. `R.M.S` value of current is

A

`(5)/(sqrt(2)) A`

B

`2 A`

C

`1//2 A`

D

`(sqrt(2))/(5) A`

Text Solution

Verified by Experts

The correct Answer is:
2
`X_(L) = (epsilon_(0))/(I_(0)) = 25 Omega , R = (epsilon_(0))/(I_(0)) = 25 Omega , Z = sqrt(R^(2) + X_(C )^(2))`,
`I_(0)^(1) = epsilon_(0)//Z = 4 // sqrt(2) A, I_("r.m.s") = I_(0)^(1) // sqrt(2) = (4//sqrt(2))/(sqrt(2)) = 2A`
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Knowledge Check

  • A pure resistive circuit element X when connected to an sinusoidal AC supply peak voltage 200 V gives a peak current of 5A which is in phase with the voltage. A second circuit element Y , when connected to the same AC supply also gives the same value of peak currrent but the current lags behind by 90^(0) . If the series combination of X and Y is connected to the same supply. the rms value of current is

    A
    `(10)/(sqrt(2)) A`
    B
    `(5)/(sqrt(2)) A`
    C
    `(5)/(2) A`
    D
    `5 A`

  • A pure resistive circuit element X when connected to an ac supply of peak voltage 200 V gives a peak current of 5 A which is in phase with the voltage. A second circuit element Y, when connected to the same ac supply also gives the same value of peak current but the current lags behind by 90^(@) . If the series combination of X and Y is connected to the same suply, what will be the rms value of current?

    A
    `(10)/(sqrt(2))A`
    B
    `(5)/(sqrt(2))A`
    C
    `(5)/(2)A`
    D
    5A

  • A pure resistive circuit element X when connected peak current of 5 A which is in phase with the voltage. A second circuit element Y , when connected to the same AC supply also gives the same value of peak current but the current lags behind by 90^(@) . If the series combination of X and Y is connected to the same supply, what will be the rms value of current ?

    A
    `(10)/(sqrt2) A`
    B
    `(5)/(sqrt2) A`
    C
    `(5//2) A`
    D
    `5 A`

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