Looking for classes? Ksquare Career Institute, Bengaluru →
A charge 'q' moves in a region where electric field and magnetic field both exist, then force on it is : -
A
$q(\vec{V} \times \vec{B})$
B
$q\vec{E} + q(\vec{V} \times \vec{B})$
C
$q\vec{E} + q(\vec{B} \times \vec{V})$
D
$q\vec{B} + q(\vec{E} \times \vec{V})$
Detailed Solution
The total force on a charge in combined electric and magnetic fields is the Lorentz force: $\vec{F}_L = \vec{F}_e + \vec{F}_m$
Electric force: $\vec{F}_e = q\vec{E}$
Magnetic force: $\vec{F}_m = q(\vec{V} \times \vec{B})$ (note the order: velocity first, then field)
$\vec{F}_L = q\vec{E} + q(\vec{V} \times \vec{B})$
Electric force: $\vec{F}_e = q\vec{E}$
Magnetic force: $\vec{F}_m = q(\vec{V} \times \vec{B})$ (note the order: velocity first, then field)
$\vec{F}_L = q\vec{E} + q(\vec{V} \times \vec{B})$