A fuse has radius r and the highest safe current through it is I .show that `Ipropr^(3//2)`.

A fuse wire has a length l and radius r . The maximum safe current through it is

Statement I : A fuse wire of diameter 0 .5 mm can with 0 stand a maximum current of 1 A . For a current of 8 A , a fuse wire made of the same alloy should have a diameter of 2 mm . Statement II : The radius r of a fuse wire and the maximum safe current I that may pass through it are related as Ipropr^(3//2) .

An artificial satellite is revolving around the earth in a circular orbit of radius r. If the time period of revolution of the satellite is T, show that T^2 prop r^3 .

A student connect a cell to a circuit and measures the current in the circuit as I_1 . When he joins a second identical cell In seris with the first, the current becomes I_2 . When he connects the cells in parallel, the current through the circuit is I_3 . show that 3I_2I_3=2I_1(I_2+I_3) .

In the electrical circuit shown in the figure, the current I through the side AB is

A charged sphere of radius r shares its charge with an uncharged sphere of radius r_1 . Show that the ratio between the initial and the final energies of the two spheres is (r+r_1) :r.

A fuse wire of length l and radius r is connected in series with a circuit . The safe currrent that can pass through the circuit is proportinal to

A circular coil of closely wound N turns and radius r carries a current I . Write expressions for the following : the magnetic moment

Obtain for the magnetic induction, vector at a point on the axis of a circular loop of radius r, at a distance x. If i be the current passing through the loop then draw the lines of the forces for the magnetic field.

A fuse wire of radius 0.1 mm can withstand a maximum current of 1 A . What is the minimum radius of a fuse wire , made of the same meatal , that should be used to run a 220 V - 100 W heater using a 220 V mains ?