A particle of mass m and charge q is in an electric and magnetic field given by `vec(E) = 2i + 3 hat(j) ,vec(B) = 4 hat(j) + 6k`.The charged particle is shifted from the origin to the point `P(x=1,Y=1)` along a straight path. The magnitude of the total work done is:

A particle of mass m and charge q is in a electric and magnetic field given by vecE = 2hati + 3hatj , vecB = 4hatj +6hatk The charged particle is shifted form the origin to the point P(x = 1, y=1) along a striaght path. The magnitude of the total work done is :

A particle of mass m and charge q is in a electric and magnetic field given by vecE = 2hati + 3hatj , vecB = 4hatj +6hatk The charged particle is shifted form the origin to the point P(x = 1, y=1) along a striaght path. The magnitude of the total work done is :

The displacement of a charge Q in the electric field vec(E) = e_(1)hat(i) + e_(2)hat(j) + e_(3) hat(k) is vec(r) = a hat(i) + b hat(j) . The work done is

The displacement of a charge Q in the electric field vec(E) = e_(1)hat(i) + e_(2)hat(j) + e_(3) hat(k) is vec(r) = a hat(i) + b hat(j) . The work done is

A particle having mass m and charge q is released from the origin in a region in which electric field and megnetic field are given by vec(B) = -B_(0)hat(j) and vec(E) = vec(E)_(0)hat(k) . Find the speed of the particle as a function of its z -coordinate.

A charged particle of mass m and charge q is projected on a rough horizontal XY plane. Both electric and magnetic fields are given by vec(E)=-10hat(k)N//C and magnetic field vec(B)=-5vec(k) tesla are present in the region. The particle enters into the magnetic field at (4,0,0)m with a velocity 50vec(j) m//sec . The particle starts into a curved path on the plane. If coefficietn of friction mu=(1)/(3) between particle and plane, then (qE=2mg,g=10m//s^(2)) . Total work done by electric force on the particle is

The displacement r of a charge Q in an electric field vec E = c_(1) hat i + c_(2) hat j + c_(3)hat k is vec r = a hat I + b hat j .The work done is

A vec(F) = (5hat(i) +3hat(j) +2hat(k))N is applied over a particle which displaces it from its origin to the point vec(r ) = (2 hat(i) - hat(j))m . The work done on the particle in joule is ……….

vec(A) and vec(B) are two vectors given by vec(A) = 2hat(i) + 3hat(j) and vec(B)= hat(i) + hat(j) . The magnitude of the component of vec(A) along vec(B) is

A particle acted on forces vec F_(1)= 3 hati -hat j+ 3 hat k and vecF_(2)= 2 hat i + 3 hat j - 4 hatk , is displaced from the point (3, -2, -1) to the point (1, 5,-2) . Find the total work done by the forces.