In the case of the Hall effect for a strip having charge $Q$ and area of cross-section $A$,the Lorentz force is

In a certain region,static electric and magnetic fields exist. The magnetic field is given by $\vec B = B_0(\hat i + 2\hat j - 4\hat k)$. If a test charge moving with a velocity $\vec v = v_0(3\hat i - \hat j + 2\hat k)$ experiences no force in that region,then the electric field in the region,in $SI$ units,is

If a charged particle moves unaccelerated through a region containing both electric and magnetic fields,which of the following must be true?

If $E$ and $B$ are the magnitudes of electric and magnetic fields respectively in some region of space,then the possibilities for which a charged particle may move in that space with a uniform velocity of magnitude $v$ are

An electron enters an electric field with intensity $\vec{E} = 3\hat{i} + 6\hat{j} + 2\hat{k} \text{ V m}^{-1}$ and a magnetic field with induction $\vec{B} = 2\hat{i} + 3\hat{j} \text{ T}$ with a velocity $\vec{v} = 2\hat{i} + 3\hat{j} \text{ m s}^{-1}$. The magnitude of the force acting on the electron is (Given,$e = -1.6 \times 10^{-19} \text{ C}$)

What is Lorentz force? Write an expression for it.