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In the network shown, points A, B and C ...

In the network shown, points A, B and C have potentials of 70 V, zero and 10V respectively

A

Point D is at a potential of 40 V.

B

The currents in the sections AD, DB, DC are in the ratio 3 : 2 : 1

C

The currents in the section AD, DB, DC are in the ratio 1 : 2 : 3.

D

The network draws a total power of 200 W.

Text Solution

Verified by Experts

The correct Answer is:
A, B, D
Let V be the potential at D.
`70 -V =10i_(1),`
`V -0 =20i_(2),`
`V -10 = 30(i_(1)i_(2))` Solve for `i_(1), i_(2),` and V
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Knowledge Check

  • A circuit has a section ABC if the potential at point A,B and C are V_(1) , V_(2) and V_(3) respectively , calculate the potential at point O

    A
    `V_(1)+V_(2)+V_(3)`
    B
    `[(V_(1)+V_(2)+V_(3))/(R_(1)+R_(2)+R_(3))][(1)/(R_(1)+R_(2)+R_(3))]^(-1)`
    C
    zero
    D
    `[(V_(1)+V_(2)+V_(3))/(R_(1)+R_(2)+R_(3))](R_(1)+R_(2)+R_(3))`