Charge $Q$ is distributed non-uniformly over a ring of radius $R, P$ is a point on the axis of ring at a distance $3R$ from its centre. Which of the following is a wrong statement.
Charge $Q$ is distributed non-uniformly over a ring of radius $R, P$ is a point on the axis of ring at a distance $3R$ from its centre. Which of the following is a wrong statement.
- A
Potential at $P $ is $\frac{{KQ}}{{2R}}$
- B
Magnitude of electric field at $P$ may be greater than $\frac{{\sqrt 3 KQ}}{{8{R^2}}}$
- C
Magnitude of electric field at $P$ must be equal to $\frac{{\sqrt 3 KQ}}{{8{R^2}}}$
- D
Magnitude of electric field at $P$ cannot be less than $\frac{{\sqrt 3 KQ}}{{8{R^2}}}$
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- [JEE MAIN 2020]
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$(b)$ If a negative test charge of magnitude $1.5 \times 10^{-9}\; C$ is placed at this point, what is the force experienced by the test charge?
Two point charges $q_{ A }=3\; \mu \,C$ and $q_{ B }=-3\; \mu \,C$ are located $20\; cm$ apart in vacuum.
$(a)$ What is the electric field at the midpoint $O$ of the line $AB$ joining the two charges?
$(b)$ If a negative test charge of magnitude $1.5 \times 10^{-9}\; C$ is placed at this point, what is the force experienced by the test charge?