Question

a wire of resistance 9 ohm having length 30cm is tripled on itself. What is the new resistance?
plz answer it as soon as possible
#nospamming

Answer 1

The resistance of the wire is directly proportional to the length. When it gets tripled on itself, the single wire gets converted into 3 wires each of 3 Ω resistance.

Resistance of each wire = 3 Ω

Now, the single wire has become into three wires which are connected in parallel because it is getting tripled on itself

Hence, using the parallel formula:

$\frac{1}{R_e_q} = \frac{1}{3} + \frac{1}{3} + \frac{1}{3}$

$R_e_q = \frac{3}{3}$

R = 1 Ω

Hence, the new resistance is 1 Ω