Question

Resistance of a conductor is 27 ohm.If we devided in to three equal parts and joined in parallel then what is the total resistance.

Answer 1

Answer:

[1/R=1/R+1/R+1/R]

Explanation:1/27+1/27+1/27

• =1/9
• RECIPROCAL  OF (1/9)
• =9ohms

Answer 2

Given:

Total resistance = 27 ohm

To Find:

Total resistance when connected in parallel.

Formula Used:

$(\frac{1}{R})equiv = \frac{1}{R1} + \frac{1}{R2} + \frac{1}{R3} \:$

Solution:

Let's divide 27 ohm into three parts.

Therefore, $\frac{27}{3} = 9$

So, each resistance will be of 9 ohm.

=> $(\frac{1}{R})equiv = \frac{1}{9} + \frac{1}{9} + \frac{1}{9} \:$

=> $(\frac{1}{R})equiv = \: \frac{1 + 1 + 1}{9}$

=> $(\frac{1}{R})equiv = \: \frac{3}{9}$

=> $(\frac{1}{R})equiv = \: \frac{3}{9}$

=> $(\frac{1}{R})equiv = \frac{1}{3}$

=> $(R)equiv \: = \: 3 \: ohm$

Conclusion:

Therefore, total resistance is 3 ohm.