Question

The equivalent resistance of the resistors connected in the circuit as shown in following figure between the point A and B is​

Answer 1

Answer:

Resistor between A & B is 9 Ohm's

Explanation:

because,

R = R1+R2+R3

= 3+3+3

=9 Ohm's

Answer 2

Answer:

The equivalent resistance of the resistors connected in the circuit is R.

Explanation:

Given three resistors connected between points A and B.

Let the resistors be named as 1, 2 and 3.  

And let the points where the conductors are joined, be C and D.

As shown in the diagram, the same conductor is joined at two points, thus it carries the same potential and hence two points are labelled as C and two as D.

Resistor 1 is connected between C and D.

Resistor 2 is connected between D and C.

And resistor is connected between C and D.

So, the same potentials are shared by the resistors, therefore the equivalent circuit will be a parallel circuit, as shown in the diagram.

When the resistors $R_1~\&~R_2$ are connected in parallel, then the equivalent resistance of the combination is given by

$\dfrac{1}{R} =\dfrac{1}{R_1}+ \dfrac{1}{R_2}$

Given the three resistors have resistance 3R, therefore the equivalent resistance of the resistors is

$\dfrac{1}{R} =\dfrac{1}{3R}+ \dfrac{1}{3R}+\dfrac{1}{3R}=\dfrac{3}{3R}=\dfrac{1}{R}$

Hence, the equivalent resistance of the resistors connected in the circuit is R.