Figure shows the electric field lines around three point charges $A, \,B$ and $C$.

$(a)$ Which charges are positive ?

$(b)$ Which charge has the largest magnitude ? Why ?

$(c)$ In which region or regions of the picture could the electric field be zero ? Justify your answer.

$(i)$ Near $A$          $(ii)$ Near $B$          $(iii)$ Near $C$    $(iv)$ Nowhere

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$(i)$ Electric field lines of $A$ and $C$ are outwards. Hence, charges of $A$ and $C$ are positive.

$(ii)$ No. of Electric field lines from $C$ is maximum. Hence, magnitude of charge $C$ is maximum.

$(iii)$ Electric field lines of like charges are opposite to each other. Hence, the electric field can be zero between $\mathrm{A}$ and $\mathrm{C}$ only.

The magnitude of charge at $\mathrm{C}$ is greater than that at $\mathrm{A}$. Hence, the electric field is zero at point near $A.$

Similar Questions

A cubical region of side a has its centre at the origin. It encloses three fixed point charges, $-q$ at $(0,-a / 4,0),+$ $3 q$ at $(0,0,0)$ and $-q$ at $(0,+a / 4,0)$. Choose the correct option$(s)$.

$(A)$ The net electric flux crossing the plane $x=+a / 2$ is equal to the net electric flux crossing the plane $x=-a / 2$.

$(B)$ The net electric flux crossing the plane $y=+a / 2$ is more than the net electric flux crossing the plane $y=-a / 2$

$(C)$ The net electric flux crossing the entire region is $\frac{q}{\varepsilon_0}$.

$(D)$ The net electric flux crossing the plane $z=+a / 2$ is equal to the net electric flux crossing the plane $x=+a / 2$.

  • [IIT 2012]

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