A long straight metal rod has a very long hole of radius a drilled parallel to rod as shown in the figure. If the rod carries a current `i`. Find the magnetic field `(a)` on the axis of the rod. `(b)` on the axis of the hole.

A long straight metal rod has a very long hole of radius 'a' drilled parallel to the rod axis as shown in the figure. If the rod carries a current I , find the magnetic field on axis of hole. Given C is the centre of the hole and OC=c .

If a copper rod carries a direct current, the magnetic field associated with the current will be_________

A long straight solid metal rod of radius 4cm carries a current 2A , uniformly distributed over its circular cross-section. Find the magnetic field induction at a distance 3cm from the axis of the wire.

Find the moment of inertia of the rod AB about an axis yy as shown in figure. Mass of the rod is m and length is l.

A uniform rod of mass m and length L is fixed to an axis, making an angle theta with it as shown in the figure. The rod is rotated about this axis so that the free end of the rod moves with a uniform speed ‘v’. Find the angular momentum of the rod about the axis. Is the angular momentum of the rod about point A constant?

A rod AB of mass M and length L is shown in figure. End A of rod is hinged and end B is lying on the ground. Find the Normal reaction by ground on the rod

Imagine a hole drilled along the radius of the earth. A uniform rod of length equal to the radius (R) of the earth is inserted into this hole. Find the distance of centre of gravity f the rod from the centre .

A conducting rod MN moves with a speed v parallel to a long straight wire which carries a constant current i , as shown in fig. The length of the rod is normal to the wire. Find the emf induced in the total length of the rod. State which end will be at a lower potential.