A wire has a resistance of 6 Ω. It is cut into two parts and both the halves are connected in parallel. The new resistance is: - IQ786

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A wire has a resistance of 6 Ω. It is cut into two parts and both the halves are connected in parallel. The new resistance is:

A wire has a resistance of 6 Ω. It is cut into two parts and both the halves are connected in parallel. The new resistance is:

ایک تار کی مزاحمت 6 اوہم ہے۔ اسے دو حصوں میں کاٹا جاتا ہے اور دونوں حصے متوازی طور پر جڑے ہوتے ہیں۔ نئی مزاحمت ہے۔

1.5 Ω

12 Ω

6 Ω

None of these

Explanation

We are given:
A wire with resistance R = 6 Ω
It is cut into two equal parts
These two parts are then connected in parallel

Step 1:

Resistance of each half
When a wire is cut into two equal parts, the resistance of each half becomes half:
$R_{half} = 6/2 = 3 Ω$

Step 2:

Two 3 Ω resistors in parallel
Use the formula for two resistors in parallel:
$\frac{1}{R _{eq}} =1/ 3 +1/ 3 =2/ 3$

$R_{eq} = 3/2 = 1.5 Ω$