A charge of 4.0 mu C is moving with a velocit | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) Given: Charge $q = 4.0 \mu C = 4.0 	imes 10^{-6} \ C$.Velocity $\vec{v} = 4.0 	imes 10^6 \hat{j} \ m/s$.Magnetic field $\vec{B} = 2 \hat{k} \ T$

Vedclass · Accepted Answer

$32$

Vedclass · Answer

(D) Given: Charge $q = 4.0 \mu C = 4.0 	imes 10^{-6} \ C$.Velocity $\vec{v} = 4.0 	imes 10^6 \hat{j} \ m/s$.Magnetic field $\vec{B} = 2 \hat{k} \ T$.The magnetic force $\vec{F}$ on a moving charge is given by the Lorentz force formula: $\vec{F} = q(\vec{v} 	imes \vec{B})$.Substituting the values: $\vec{F} = (4.0 	imes 10^{-6} \ C) 	imes (4.0 	imes 10^6 \hat{j} \ m/s 	imes 2 \hat{k} \ T)$.Using the cross product rule $\hat{j} 	imes \hat{k} = \hat{i}$,we get: $\vec{F} = (4.0 	imes 10^{-6}) 	imes (8.0 	imes 10^6) \hat{i} \ N$.$\vec{F} = 32 \hat{i} \ N$.Comparing this with $\vec{F} = x \hat{i} \ N$,we find $x = 32$.

$A$ charge of $4.0 \mu C$ is moving with a velocity of $4.0 \times 10^6 \ m/s$ along the positive $y$-axis under a magnetic field $\vec{B}$ of strength $(2 \hat{k}) \ T$. The force acting on the charge is $x \hat{i} \ N$. The value of $x$ is . . . . . . .

Similar Questions

If a charged particle moves through a magnetic field with a velocity that has both perpendicular and parallel components,what is the path followed by the particle?

Which particles will have the minimum frequency of revolution when projected with the same velocity perpendicular to a magnetic field?

$A$ beam of protons enters a uniform magnetic field of $0.314 \ T$ with a velocity $4 \times 10^5 \ ms^{-1}$ in a direction making an angle $60^{\circ}$ with the direction of the magnetic field. The path of the beam is (mass of proton $= 1.6 \times 10^{-27} \ kg$).

The following figure shows the path of an electron that passes through two regions containing uniform magnetic fields of magnitudes $B_1$ and $B_2$. Its path in each region is a half-circle. Choose the correct option.

Two particles of masses $m_{a}$ and $m_{b}$ and same charge are projected in a perpendicular magnetic field. They travel along circular paths of radius $r_{a}$ and $r_{b}$ such that $r_{a} > r_{b}$. Then which is true?

Vedclass Test Series

Exam Paper Generator

Online Exam Module