A particle of mass m and charge q is moving in a region where uniform, constant electric and mangetic fields `vec E and vec B` are present. `vec E and

A particle of mass m and charge q is moving in a region where uniform, constant electric and mangetic fields `vec E and vec B` are present. `vec E and vec B` are parallel to each other. At time `t=0,` the velocity `vec v_0` of the particle is perpendicular to `vec E` (Assume that its speed is always `lt lt c`, the speed of light in vacuum). Find the velocity `vec v` of the particle at time `t`. You must express your answer in terms of `t, q, m,` the vector `vec v_0, vec E` and `vec B` and their magnitudes `vec v_0, vec E` and `vec B`.

Monjur Alahi

6 views

2025-01-04 04:42

1 Answers

Salim Ahmed Kawsar

Correct Answer - `[(qt)/(m)vec(E)+vec(v)_(0)cos ((qBt)/(m))+(v_(0)(vec(v_(0))xxvec(B)))/(|v_(0)xxvec(B)|}sin ((qBt)/(m))]`

6 views Answered 2023-02-05 15:29

Related Questions

Let `A( vec a)a n dB( vec b)` be points on two skew lines ` vec r= vec a+lambda vec pa n d vec r= vec b+u vec q` and the shortest distance between the

2 Answers 5 Views

Statement 1: let `A( vec i+ vec j+ vec k)a n dB( vec i- vec j+ vec k)` be two points. Then point `P(2 vec i+3 vec j+ vec k)` lies exterior to the sphe

2 Answers 5 Views

Let O be the origin and` vec(OX) , vec(OY) , vec(OZ)` be three unit vector in the directions of the sides `vec(QR) , vec(RP),vec(PQ)` respectively , o

2 Answers 4 Views

A particle of mass m and charge q is moving in a region where uniform electric field `underset(E)to` and and uniform mag-netic field `underset(B)to`ar

2 Answers 5 Views

`A , B , Ca n dD` are any four points in the space, then prove that `| vec A Bxx vec C D+ vec B Cxx vec A D+ vec C Axx vec B D|=4` (area of ` A B C` .

2 Answers 4 Views

6) Angle between vector \( \vec{A}=\vec{\imath}+2 \vec{\jmath}-\vec{k} \) and \( \vec{B}=-\vec{\imath}-2 \vec{\jmath}+\vec{k} \) will be.. a)zero \( \begin{array}{ll}\text { b) } 45^{\circ} & \text { c) } 90^{\circ}\end{array} \) d) \( 180^{\circ} \)

2 Answers 9 Views

State whether the following relations are true or false (1)`vec(AB)=vec(BA)` (2)`vec(AB)=-vec(BA)` (3)`|vec(AB)|=|vec(BA)|` (4)`|vec(AB)|=|-vec(AB)|`

2 Answers 6 Views

Find `vec(A).vec(b)` when (i) `vec(a)=hat(i)-2hat(j)+hat(k)` and `vec(b)=3 hat(i)-4 hat(j)-2 hat(k)` (ii) `vec(a)=hat(i)+2hat(j)+3hat(k)` and `vec(b)=

2 Answers 5 Views

If `vec(a)=(2hat(i)-hat(j)+hat(k)), vec(b)=(hat(i)-3hat(j)-5hat(k)) and vec(c)=(3hat(i)-4hat(j)-hat(k))`, find `[vec(a)vec(b)vec(c)]` and interpret th

2 Answers 4 Views

If `vec(a) = (-3hat(i)+4hat(j)-7hat(k)) and vec(b)=(6hat(i)+ 2hat(j)-3hat(k)), " find "(vec(a) xxvec(b))`. Verify that (i) `vec(a) and (vec(a) xx vec(

2 Answers 6 Views

এক্সাম দিয়ে মেধা যাচাই করুন

Job Preparation (1125)

Admission (754)

এসএসসি (10)

এইচএসসি (5)