Question

Resistances of three resistors are in the proportion connected in parallel, their effective resistance is 6 Ω. Then connect on.

Answer 1

Answer:

Explanation:

Total 6 nos. Of 6 ohm resistors are required to get effective resistance of 4 ohms.

Connect 2 set of three resistors of 6 ohms in parallel and connect both set in the series. The effective resistance will be 2 ohms

R = 6/3 + 6/3

R= 2 + 2

R = 4 ohms

Hope it helps you!!!

Answer 2

Given:

Resistances of three resistors are in the proportion connected in parallel, their effective resistance is 6 Ω.  

To find:

Resistances of three resistors are in the proportion connected in parallel, their effective resistance is 6 Ω. Then connect on.  

Solution:

From given, we have,

Resistances of three resistors are in the proportion connected in parallel, their effective resistance is 6 Ω.

As it's not given that, 3 resistors have different values, so we consider all the 3 resistors have the same value.

The formula for calculating the resistance of resistors connected in parallel, we get,

1/Rp = 1/R1 + 1/R2 + 1/R3

1/Rp = 1/R + 1/R + 1/R

1/Rp = 3/R

Rp = R/3

6 = R/3

R = 18  Ω

Therefore, option (d) 18 Ω​ is correct.