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A charged particle moving in a magnetic ...

A charged particle moving in a magnetic field `vec(B) = hat(i) - hat(j)` tesla, has an acceleration of `2 hat(i) + alpha hat(j)` at some instant. Find the value of `alpha`

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To find the value of α in the given problem, we can follow these steps: ### Step 1: Understand the Problem We have a charged particle moving in a magnetic field represented by the vector **B** = **i** - **j** (in tesla). The particle has an acceleration vector given by **a** = 2**i** + α**j**. We need to find the value of α. ### Step 2: Use the Relationship Between Force, Charge, and Magnetic Field The force acting on a charged particle in a magnetic field is given by the equation: \[ ...
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Knowledge Check

  • Velocity and acceleration vectors of a charged particle moving in a magnetic field at some instant are vec(v)=3hat(i)+4hat(j) and vec(a)=2hat(i)+xhat(j) . Selcet the wrong alternative.

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    C
    magnetic field is along `z-` direction
    D
    Kinetic energy of the particle is constant

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    A
    `sqrt(5) m//s^(2)`
    B
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