Current Electricity Ques 45
45. Three resistances each of $4 \Omega$ are connected to form a triangle. The resistance between any two terminals is
[1993]
(a) $12 \Omega$
(b) $2 \Omega$
(c) $6 \Omega$
(d) $8 / 3 \Omega$
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Answer:
Correct Answer: 45.(d)
Solution:
- (d) The two resistances are connected in series and the resultant is connected in parallel with the third resistance.
$\therefore R^{\prime}=4 \Omega+4 \Omega=8 \Omega$ and $\frac{1}{R^{\prime \prime}}=\frac{1}{8}+\frac{1}{4}=\frac{3}{8}$
or $R^{\prime \prime}=\frac{8}{3} \Omega$
If three identical resistors each of resistance $R$ are connected in the form of a triangle, the equivalent resistance between the ends of a side is equal to $(\frac{2 R}{3})$.
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