Current Electricity - Result Question 34

36. 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) $8 / 3 \Omega$

Show Answer

Answer:

Correct Answer: 36. (d)

Solution:

  1. (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 $(\frac{2 R}{3})$.