Embibe Experts Solutions for Chapter: Moving Charges and Magnetism, Exercise 1: Exercise

A particle of specific charge (q/m) is projected from the origin of coordinates with initial velocity [ui-vj]. Uniform electric magnetic fields exist in the region along the +y direction, of magnitude E and B. The particle will definitely return to the origin once if

According to Bio-Savart law states that the magnetic field due to the current element:

Assertion: Ampere's circuital law holds for steady currents which do not fluctuate with time.
Reason: Ampere's circuital law is similar to that of Biot-Savart law.

A toroid has $500$turns per unit length. If it carries a current of $2 \mathrm{A}$, the magnetic energy density inside the toroid is

When the number of turns in a toroidal coil is doubled, then the value of magnetic flux density will becomes

Two long parallel wires separated by a distance $r$ have equal currents $I$ flowing in each. Either wire experiences a magnetic force $\mathrm{F} \mathrm{N}/{\mathrm{m}}^{}$. If the distance $r$ is increased to $3r$ and current in each wire is reduced to $\mathrm{I}/3$, the force between them will now be -

Loop $ABCD$ and long straight wire are in the same plane. Side $CD=2AB$. Distance between long straight wire and $AB$ is equal to the distance between $AB$ and $CD$. Net force on the loop is 

A galvanometer has a coil of resistance $5 \mathrm{\Omega }$ and requires $15 \mathrm{mA}$ for full-scale deflection. The shunt resistance needed to convert the galvanometer into an ammeter of the range $0-1 \mathrm{A}$ is