a wire of 15 ohm resistance is gradually stretched to twice its length.It is then cut into two equal parts.these parts are then connected in parallel across a 3.0V battery.Find the current drawn from he battery.
R'=n2R=\((2)^2\times15=60\Omega\)
Resistance of each half part=\(\frac{60}{2}=30\Omega\)
When both parts are connected in parallel, the final resistance=\(\frac{30}{2}=15\Omega\)
Current drawn from the battery, I=\(\frac{V}{R}\)=\(\frac{0.3}{15}\)=0.2A
An infinitely long straight wire carrying current $I$ is bent in a planar shape as shown in the diagram. The radius of the circular part is $r$. The magnetic field at the centre $O$ of the circular loop is :
