Question

Velocity and acceleration vectors of a charged particle moving perpendicular to the direction of a magnetic field at a given instant of time are $v=2i+Cj$ and $a=3i+4j$ respectively. What is the value of C?

Answer 1

Step 1:Given:

$v=2i+Cj$

$a=3i+4j$

Step 2:Calculate Value of $C$.

Velocity is perpendicular to the acceleration. So

$$\begin{gathered} \stackrel{\rightharpoonup }{v.}\stackrel{\rightharpoonup }{a}=0 \\ \left(2i+Cj\right).\left(3i+4j\right)=0 \\ 6+4C=0 \\ C=-1.5 \end{gathered}$$

Hence, Value of C is $-1.5$.