Current Electricity and Electrical InstrumentHard
Question
In the network shown, points A, B and C are potentials of 70 V, zero and 10 V respectively.


Options
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 sections AD, DB, DC are in the ratio 1: 2: 3
D.The network draws a total power of 200 W.
Solution

Let potential of point D is x. by KCL at point D.
I1 + I2 + I3 = 0
⇒ 6x − 420 + 3x + 2x − 20 = 0
⇒ 11x = 440
⇒ x = 40 volt
∴ I1 =
i3 =
P = i2R
P = 32 × 10 + 22 × 20 + 12 × 30
P = 200 W
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