Question
Consider mentioned figure alongside and calculate equivalent resistance between
(a) Points A and B
(b) Points B and C
(c) Points A and C
(a) Points A and B
(b) Points B and C
(c) Points A and C
✓
Answer
(a) Equivalent resistance between A and B
$\frac{1}{R p_1}=\frac{1}{4}+\frac{1}{12}=\frac{3+1}{12}=\frac{4}{12}=\frac{1}{3} ; \quad \therefore R p_1=3 \Omega$
(b) Equivalent resistance between B and C
$\frac{1}{R_2}=\frac{1}{12}+\frac{1}{24}+\frac{1}{8}=\frac{2+1+3}{24}=\frac{6}{24}=\frac{1}{4} ; \quad \therefore RP_2=4 \Omega$
(c) Equivalent resistance between A and C
$R_{S}=3+4=7 \Omega$
$\frac{1}{R p_1}=\frac{1}{4}+\frac{1}{12}=\frac{3+1}{12}=\frac{4}{12}=\frac{1}{3} ; \quad \therefore R p_1=3 \Omega$
(b) Equivalent resistance between B and C
$\frac{1}{R_2}=\frac{1}{12}+\frac{1}{24}+\frac{1}{8}=\frac{2+1+3}{24}=\frac{6}{24}=\frac{1}{4} ; \quad \therefore RP_2=4 \Omega$
(c) Equivalent resistance between A and C
$R_{S}=3+4=7 \Omega$
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