Question

For the given semi-infinite rod, if a positive test charge at rest is kept at point $P$, then it will take path

• A. $\text{PR}$
• B. $\text{PQ}$
• C. $\text{PS}$
• D. $\text{PT}$

Answer 1

The correct option is D $\text{PT}$

We know that, for a semi-infinite rod of constant $\lambda$, angle between $E_{\perp }$ (along $\text{PQ}$) and $E_{\text{net}}$ (along $\text{PT}$) is ${45}^{\circ }$.


So, net force on positive charge $(F=+q{E}_{\text{net}})$ is along $\text{PT}$.

Therefore, it will accelerate along the path $\text{PT}$.

Hence, option $\left(c\right)$ is correct.