Home
Class 12
PHYSICS
Electric and magnetic fields simultaneo...

Electric and magnetic fields simultaneously exist in a space as `E = hatk E and B=hatjB`. A charge particle q is projected with a velocity `v = hatiu.` What is the Lorentz force acting on the charge particle?
Discuss the motion of the charge particle and find an expression for velocity of the charge particle when `|F_(E )|=|F_(m)|`.

Text Solution

Verified by Experts

Lorentz force,
`F= F_(m) + F_(e )`
`F= q [ v xx B xx E ] = q [ u hati +B hatj +E hatk]`
`=q[uB hatk + E hatk]`
If the electric and magnetic force are same, then it will move in a straight line.
Again, `|F_(m) | = |F_(e )| rArr qvB sin theta =qE " " ( :. theta =90^(@))`
`rArr qvB =qE rArr v=(E )/(B)`
Promotional Banner

Similar Questions

Explore conceptually related problems

Write the expresion for Lorentz force acting on a charged particle.

Define 1 tesla. Write down the expression of Lorentz force acting on a charged particle.

Two charged particles are separated by a distance 1 cm. What is the minimum possible electric force acting on each charge ?

An alpha particle is moving in a magnetic field of (3hati+2hatj) tesla with in velocity of 5xx10^5 hati ms^(_1) . What will be the magnetic force acting on the particle?

A charged particle of mass m and charge q is projected with velocity nu making in angle theta with the direction of a uniform magnetic field of induction B. Find the expression for- Pitch of the helical path followed by the particle.

A charged particle of mass m and charge q is projected with velocity nu making in angle theta with the direction of a uniform magnetic field of induction B. Find the expression for- Time period of revolution

A charged particle enters a magnetic field with a velocity v in a direction perpendicular to the field. Find an expression for the radius of the circular path of the particle.