Question

The least resistance obtained by using 2 ohm 4 ohm 1 ohm and hundred ohm is dash

Answer 1

Explanation:

Least resistance possible is 0.57 ohms.

Answer 2

Given,

4 resistors of resistances: 2 ohms, 4 ohms, 1 ohm, and 100 ohms.

To find,

The least resistance obtained by the combination of the four given resistors.

Solution,

We can simply solve this numerical problem by using the following process:

Let us assume that the least resistance obtained by the combination of the four given resistors be R ohms.

Mathematically,

A least resistance can be obtained by the parallel type of combination of a given set of resistors.

If a set of resistors are arranged in a parallel type of arrangement, then the reciprocal of the equivalent resistance of the arrangement is equal to the sum of the reciprocals of the individual resistances.

Now, according to the question;

1/R = [ 1/1 + 1/2 + 1/4 + 1/100 ]

=> 1/R = (100 + 50 + 25 + 1)/100 = 176/100

=> R = 100/176 ohms

=> R = 0.57 ohms approx.

Hence, the least resistance obtained by the combination of the four given resistors is approximately equal to 0.57 ohms.