Two charges of same magnitude move in two cir | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) The magnetic force $F$ on a charged particle moving with velocity $v$ in a magnetic field $B$ is given by the Lorentz force formula: $F = q(v 	im

Vedclass · Accepted Answer

$W_1=W_2=0$

Vedclass · Answer

(A) The magnetic force $F$ on a charged particle moving with velocity $v$ in a magnetic field $B$ is given by the Lorentz force formula: $F = q(v 	imes B)$.Since the force $F$ is the cross product of $v$ and $B$,it is always perpendicular to the velocity vector $v$.The work done $W$ by a force over a displacement $ds$ is given by $W = \int F \cdot ds$. Since $ds = v dt$,we have $W = \int (F \cdot v) dt$.Because $F$ is perpendicular to $v$,the dot product $F \cdot v = 0$ at all times.Therefore,the work done by the magnetic field on a moving charged particle is always zero,regardless of the radius of the circular path.Hence,$W_1 = W_2 = 0$.

Two charges of same magnitude move in two circles of radii $R_1=R$ and $R_2=2R$ in a region of constant uniform magnetic field $B_0$. The work $W_1$ and $W_2$ done by the magnetic field in the two cases respectively,are such that

Similar Questions

$A$ proton enters a magnetic field of flux density $1.5 \,Wb \,m^{-2}$ with a velocity of $2 \times 10^7 \,ms^{-1}$ at an angle of $30^{\circ}$ with the field. The force on the proton will be

If an electron is moving in the direction of the magnetic field $\overrightarrow{B}$ with a velocity $\overrightarrow{v}$,then the force on the electron is:

$A$ charged particle is released from rest in a region of uniform electric and magnetic fields,which are parallel to each other. The locus of the particle will be

An electron having mass $m$ and kinetic energy $K$ enters a uniform magnetic field $B$ perpendicularly. Its frequency will be:

An electron enters a magnetic field whose direction is perpendicular to the velocity of the electron. Then

Vedclass Test Series

Exam Paper Generator

Online Exam Module