Question

12. The least resistance obtained by using 2ohm, 4ohm 1ohm and 100ohm is
(i) <100ohm
(ii) <4ohm
(iii) <1ohm
(iv) >2ohm​

Answer 1

Answer:

1.<1 ohm ...........

............

...

Answer 2

$\frac{1}{R_{eq}} =1.76 ohm$

Step-by-step explanation:

Given data:

$R_1 = 2 ohm$

$R_2 = 4 ohm$

$R_3 =  1 ohm$

$R_4 = 100 ohm$

Lowest resistance is obtained when resistance is placed in parallel.

Given parallel combination is shown in figure:

$\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3} + \frac{1}{R_4}$

$\frac{1}{R_{eq}} = \frac{1}{2} + \frac{1}{4} + \frac{1}{1} + \frac{1}{100}$

$\frac{1}{R_{eq}} =1.76 ohm$