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Answered by
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Answer:
a) 1A & 1.5A. b) 4Ω. c) 12V
Explanation:
since B & C in parallel their currents in inversion proportion
Ib : Ic = Rc : Rb
0.5 : Ic = 3 : 6
Ic = 0.5 × 6 /3
a) Ic = 1A
but....
Ib + Ic = 0.5 + 1 = 1.5
now since..
Ia & Ib-Ic in series theis currents are equal
hence....
Ia = Ib + Ic = 1.5A
1/R' = 1/Rb + 1/Rc = 1/3 + 1/6 = 1/2
R' = 2Ω
R = R' + 2 = 2 + 2 = 4
b) R = 4Ω
now.....
I = Ia + Ib +Ic
I = 1.5 + 0.5 + 1
I = 3A
but.....
V = RI
V = 4 × 3
c) V = 12V
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