Moving Charges ...

A $$25cm$$ long solenoid has radius $$2cm$$ and $$500$$ total number of turns. It carries a current of $$15A$$. If it is equivalent to a magnet of the same size and magnetization $$\overrightarrow { M } $$ (magnetic moment/volume), then $$\left| \overrightarrow { M }  \right| $$ is:

Two parallel wires in free space are $$10cm$$ apart and cach carries a current of 10 $$ \mathrm{A}  $$ in the same direction. The magnetic force per unit length of cach wire is.

A particle having the same charge as of electron moves in a circular path of radius 0.5 cm under the influence of a magnetic field of 0.5 T. If an electric field of 100 V/m makes it move in a straight path, then the mass of the particle is ___?
(Given charge of electron = $$1.6 \times 10^{-19} C$$)

An electron moves with velocity $$v$$ in uniform traverse magnetic field $$B$$ on circular path of radius $$'r'$$, then $$e/m$$ for it is 

Which of following cannot be deflected by magnetic field

Two parallel infinite wires separated by distance $$'d'$$ carry currents as shown in figure.
The distance from a third infinite wire be kept parallel to wire carrying current $$l_1$$, the wire such that it stays in equilibrium is

A moving coil galvanometer, having a resistance $$G$$, produces full scale deflection when a current $$I_g$$ flows through it. This galvanometer can be converted into (i) an ammeter of range $$0$$ to $$I_0 (I_0 > I_g)$$ by connecting a shunt resistance $$R_A$$ to it and (ii) into a voltmeter of range $$0$$ to $$V(V = GI_0)$$ by connecting a series resistance $$R_V$$ to it. Then

Using Kirchhoff's current law and Ohm's law. Find the magnitude of voltage V ( In volt) direction of current is as shown  in  figure 

A particle of charge -q and mass m enters a uniform magnetic field $$ \overrightarrow B $$ at A with speed $$ v_1 $$ at an angle $$ \alpha $$ and leaves the field at C with speed $$ v_2 $$ at an angle $$ \beta $$ as shown . then