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A voltage V(AB)=V(0) cos omega t, where ...

A voltage `V_(AB)=V_(0) cos omega t`, where` V_(0)` is a real amplitude, is applied between the points A and B in the network shown in figure. Given that
`C=(1)/(omega R sqrt(3))`
and
`L=(Rsqrt(3))/(omega)`
(a) Calculate the total impedance between A and B.
(b) Verify that voltages of equal amplitude are developed between the point X and the points A, Y and Z.
(c) Determine the phases of these three voltages relative to `V_(AB)`.

Text Solution

Verified by Experts

(i) 3R
(iii) (a) `V_("AX")` is in same phase as `V_("AB")`
(b) Phase angle between `V_("YX") and V_(AB)=-120^(@)`
(c) Phase angle between `V_(ZX) and V_(AB)=120^(@)`
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Knowledge Check

  • The potential difference (V_A-V_B) between the point A and B as shown in the figure is

    A
    9V
    B
    8V
    C
    15V
    D
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  • The potential difference (V_(A)-V_(B)) between the point A and B in the given figure is :

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    B
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    C
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    D
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    A
    `+ 6 V`
    B
    `+ 9 V`
    C
    `- 3 V`
    D
    `+ 3 V`

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