# A solid cylindrical wire of radius R carries a current I the magnetic field is 5μT at a point which is 2R distance away from the axis of wire. Magnetic field at a point which is R/3 distance inside from the surface of wire is?

Eshan
4 years ago
Magnetic field at a distancefrom the axis of the wire(whereis greater than radius of wire) is

Magnetic field at a distancefrom axis of wire(whereis smaller than radius) is





Gitanjali Rout
184 Points
4 years ago
Magnetic field at a distancerfrom the axis of the wire(whereris greater than radius of wire) isB_1=\dfrac{\mu_0i}{2\pi r}Magnetic field at a distancerfrom axis of wire(whereris smaller than radius) isB_2=\dfrac{\mu_0i_{enc}}{2\pi r}=\dfrac{\mu_0i(\dfrac{r^2}{R^2})}{2\pi r}=\dfrac{\mu_0 ir}{2\pi R^2}\implies \dfrac{B_2}{B_1}=\dfrac{r`r}{R^2}\implies B_2=5\mu T\times \dfrac{(\dfrac{2R}{3})2R}{R^2}=6.66\mu T
Gitanjali Rout
184 Points
4 years ago
is smaller than radius) isfrom axis of wire(whereMagnetic field at a distanceis greater than radius of wire) isfrom the axis of the wire(whereagnetic field at a distance