Q. 3
A magnetic field of (4.0 x 10-3 vector k)T exerts a force of (4.0 vector i + 3.0 vector j) x 10-10N on a particle having a charge of 1.0 x 10-9C and going in the X-Y plane. Find the velocity of the particle.
Answer :
Given -
Magnetic field, B = 4.0 × 10–3 T
Electric charge on the particle, q = 1 × 10−9 C
Also given that the charge is going in the X-Y plane,
Therefore, the x-component of force, Fx = 4 × 10−10 N
and the y-component of force, Fy = 3 × 10−10 N
We know, Lorentz force F is given by -
where,
q = charge
v = velocity of the charge
B=magnetic field
and
θ= angle between V and B
On putting the respective values, we get
Let’s take motion along x-axis-
From (1)
Similarly, motion along y-axis
from (1)
Hence. velocity of the particle, = m/s
Rate this question :






















A rectangular coil of 100 turns has length 5 cm and width 4 cm. It is placed with its plane parallel to a uniform magnetic field and a current of 2A is sent through the coil. Find the magnitude of the magnetic field B, if the torque acting on the coil is 0.2 N m–1.
HC Verma - Concepts of Physics Part 2A circular coil of radius 2.0 cm ahs 500 turns in it and carries a current of 1.0 A. Its axis makes an angle of 30° with the uniform magnetic field of magnitude 0.40 T that exist in the space. Find the torque acting on the coil.
HC Verma - Concepts of Physics Part 2A rectangular loop of sides 20 cm and 10 cm carries a current of 5.0 A. A uniform magnetic field of magnitude 0.20 T exists parallel to the longer side of the loop.
(a) What is the force acting on the loop?
(b) What is the torque acting on the loop?
HC Verma - Concepts of Physics Part 2
A circular loop carrying a current i has wire of total length L. A uniform magnetic field B exists parallel to the plane of the loop.
(a) Find the torque on the loop.
(b) If the same length of the wire is used to form a square loop, what would be the torque? Which is larger?
HC Verma - Concepts of Physics Part 2
Fe+ions are acceleration through a potential difference of 500 V and are injected normally into a homogeneous magnetic field B of strength 20.0 mT. Find the radius of the circular paths followed by the isotopes with mass numbers 57 and 58. Take the mass of an ion = A(1.6 × 10–27) kg where A is the mass number.
HC Verma - Concepts of Physics Part 2Let and
denote electric and magnetic fields in a frame S.
and
in another frame S’ moving with respect to S at a velocity
Two of the following equations are wrong. Identify them.