Moving Charges ...

A straight conductor carries a current. Assume that all free electrons in the conductor move with the same drift velocity $$v$$. A and B are two observers on a straight line XY parallel to the conductor. A is stationary. B moves along XY with a velocity $$v$$ in the direction of the free electrons :

A conductor of length $$l$$ carrying current $$i$$ is placed perpendicular to magnetic field of induction $$B$$. The force experienced by it is :

In the given figure, distance  $$(d) $$ between conductors carrying currents $$I_1$$ and $$I_2$$ is varied. Which of the following graphs correctly  represents the variation of force $$(F)$$ between the conductors and distance $$(d)$$?

A positively charged particle moving in east direction enters a region of uniform magnetic field directed vertically upwards. What will be the path of the particle ?

The force of repulsion between two parallel wires is $$f$$ when each one of them carries a certain current $$I$$. If the current in each is doubled, the force between them would be 

There will be no force between two wires carrying currents if currents are

A particle of mass $$M$$ and charge $$Q$$ moving with a velocity $$\overrightarrow{v}$$ described a circular path of radius $$R$$ when subjected to a uniform transverse magnetic field of induction $$B$$. The work done by the field when the particle completes one full circle is

Two thin long, parallel wires separated by a distance $$d$$ carry a current $$i$$ each in the same direction. They will

Two particles X and Y having equal charges, after being accelerated through the same potential difference, enter a region of uniform magnetic field and describe circular paths or radii $$R_1$$ and $$R_2$$ respectively. The ratio of mass of X to that of  Y is equal to :

Two long parallel wires A and B separated by a distance d, carry currents $$i_1$$ and $$i_2$$ respectively in the same direction. Write the following steps in a sequential order to find the magnitude of the resultant magnetic field at a point 'P', which is between the wires and is a distance '$$x$$' from the wire A.
(All the physical quantities are measured in SI units)
(a) Note the given values of $$i_1, i_2$$, $$d$$ and $$x$$.
(b) Write the formula to find the magnetic field due to a long straight current carrying wire i.e. $$\displaystyle B=\frac{\mu_0 i}{2 \pi r}$$
(c) Find the directions of the magnetic field at 'P' due to two wires A and B, using right hand thumb rule.
(d) Determine the magnetic field at P due to wire A, using $$B_1 \displaystyle = \frac{\mu_0 i_1}{2 \pi x}$$
(e) If the directions of magnetic field are same, then the resultant magnitude is equal to the sum of $$B_1$$ and $$B_2$$.
(f) Determine the magnetic field $$B_2$$ due to wire B at point P, ie. $$B_2 = \displaystyle \frac{\mu_o i_2}{2 \pi (d-x)}$$
(g) If the directions of magnetic fields are opposite to each other, then the resultant magnitude is equal to the difference of $$B_1$$ and $$B_2$$.