Current Electricity - Result Question 30

32. The current in the following circuit is

[1997]

(a) $1 A$

(b) $\frac{2}{3} A$

(c) $\frac{2}{9} A$

(d) $\frac{1}{8} A$

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Answer:

Correct Answer: 32. (a)

Solution:

  1. (a) Resistance of $A C B, R^{\prime}=3 \Omega+3 \Omega=6 \Omega$.

For net resistance between $A$ and $B ; R^{\prime}=6 \Omega$ and $3 \Omega$ are in parallel.

$ R _{A B}=\frac{3 \times 6}{3+6}=\frac{18}{9}=2 \Omega $

Current in circuit $(I)=\frac{E}{R _{A B}}=\frac{2}{2}=1 A$