The effective resistance of two wires joined in parallel is 5/4 ohm One of the resistances is broken and - Science - Electricity

Question

The effective resistance of two wires joined in parallel is 5/4 ohm
One of the resistances is broken and the effective resistance
becomes 3 ohm What is the resistance of broken wire ?

Rohit Babu · Accepted Answer

Dear Student,Given,Rp=54Ω,R1=3ΩWhen one of the resistances is broken the effective resistance will bw the resistanceof a single wire
Let R2 be the resistance of the second wire
We know,Rp=R1R2R1+R2⇒54=3R23+R2⇒15+5R2=12R2⇒15=7R2⇒R2=157ΩRegards

The effective resistance of two wires joined in parallel is 5/4 ohm. One of the resistances is broken and the effective resistance becomes 3 ohm. What is the resistance of broken wire ?