In the circuit below, the current through B is 1.50A and the current through C is...

Question

Question

In the circuit below, the current through B is 1.50A and the current through C is 0.50A when A has a resistance of 9 12. If y

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Answer 1

Answer #1

Since resistances B and C are connected in parallel,

Current, I = V/(9 + (B || C))

2 = V/(9 + (B || C)) ....... (1)

I_B = 2C/(B + C)

2C = 1.5 B + 1.5 C

C = 3B

Equivalent resistance of B and C,

B || C = BC/(B + C) = 3B^2/4B = 0.75B

From equation (1)

2 = V/(9 + 0.75B) ...... (2)

Since total current, I = 0.75 + 0.25 = 1 A

V - 0.75B = 1 ...... (3)

From equation (2) and (3)

Resistance, R_B = 12 ohm

Comment in case any doubt please rate my answer.....

Answer 2

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