0
You visited us 0 times! Enjoying our articles? Unlock Full Access!
Question

# A charged particle with charge q enters a region of constant uniform and mutually orthogonal fields →E and →B with a velocity →v perpendicular to both →E and →B and comes out without any change in magnitude and direction of →v. Then,→v=→E×→B/B2→v=→B×→E/E2→v=→E×→E/B2→v=→E×→E/E2

A
v=E×E/E2
B
v=B×E/E2
C
v=E×B/B2
D
v=E×E/B2
Solution
Verified by Toppr

#### Since there is no change in magnitude and direction of particle velocity. So, Force due to magnetic field is equal to force due to electric field.⇒q(→V×→B)=−q→E⇒→V×→B=−→E⇒→V=→E×→B/B2

0
Similar Questions
Q1
A charged particle with charge q enters a region of constant, uniform and mutually orthogonal fields E and B , with a velocity v perpendicular to both E and B, and comes out without any change in magnitude or direction of v. Then
View Solution
Q2
A charged particle with charge q enters a region of constant uniform and mutually orthogonal fields E and B with a velocity v perpendicular to both E and B and comes out without any change in magnitude and direction of v. Then,
View Solution
Q3
A particle of mass m and charge q is moving in a region where uniform, constant electric and magnetic fields E and B are present. E and B are parallel to each other. At time t=0, the velocity v0 of the particle is perpendicular to E (Assume that its speed is always < < c, the speed of light in vacuum). If the velocity v of the particle at time t is v=X×cos(qBmt)(v0)+(qmt)(E)+X×sin(qBmt)(v0×BB). Find X?
View Solution
Q4
Electrons having a velocity v of 2×106ms1 pass undeviated through a uniform electric field E of intensity 5×104Vm1 and a uniform magnetic field B.
(i) Find the magnitude of magnetic flux density B of the magnetic field.
(ii) What is the direction of B, if v is towards right and E is vertically downwards in the plane of this paper?
View Solution
Q5
Let E and B denote electric and magnetic fields in a frame S and E and B in another frame S' moving with respect to S at a velocity v. Two of the following equations are wrong. Identify them:
View Solution