Physics, Chemistry, Maths Forum

Physics

Physics

by Ankita Dhawan -
Number of replies: 1
A wire of 15 ohm resistance is gradually streched to double its original length . It is then cut into 2 equal parts. These parts are then connected in parallel across a 3.0V battery. Find the current drawn from the battery.
In reply to Ankita Dhawan

Re: Physics

by Aashwin Gaur -
when a wire is stretched the volume remains the same hence

A1l1=A2l2
From this we get that as the wire's length is doubled the cross sectional area(A) gets halved. So according to: r= row l/A the resistance becomes four times.i.e.60 ohms
But then when it is cut into two halves A remains the same but length gets halfved. So the resistance of the two wires reduce to half.i.e.30 ohms each

When these two equal resistances are connected in parallell the net resistance comes out to be 15.ohms Further we can use ohms law to get the answer.