Two charges $2 \;\mu\, C$ and $-2\; \mu \,C$ are placed at points $A$ and $B\;\; 6 \;cm$ apart.
$(a)$ Identify an equipotential surface of the system.
$(b)$ What is the direction of the electric field at every point on this surface?
Two charges $2 \;\mu\, C$ and $-2\; \mu \,C$ are placed at points $A$ and $B\;\; 6 \;cm$ apart.
$(a)$ Identify an equipotential surface of the system.
$(b)$ What is the direction of the electric field at every point on this surface?
$(a)$ The situation is represented in the given figure.
An equipotential surface is the plane on which total potential is zero everywhere. This plane is normal to line $AB.$ The plane is located at the mid-point of line $AB$ because the magnitude of charges is the same.
$(b)$ The direction of the electric field at every point on this surface is normal to the plane in the direction of $AB.$
Similar Questions
Two conducting hollow sphere of radius $R$ and $3R$ are found to have $Q$ charge on outer surface when both are connected with a long wire and $q'$ charge is kept at the centre of bigger sphere. Then which one is true
Two conducting hollow sphere of radius $R$ and $3R$ are found to have $Q$ charge on outer surface when both are connected with a long wire and $q'$ charge is kept at the centre of bigger sphere. Then which one is true
Describe schematically the equipotential surfaces corresponding to
$(a)$ a constant electric field in the $z-$direction,
$(b)$ a field that uniformly increases in magnitude but remains in a constant (say, $z$) direction,
$(c)$ a single positive charge at the origin, and
$(d)$ a uniform grid consisting of long equally spaced parallel charged wires in a plane
Describe schematically the equipotential surfaces corresponding to
$(a)$ a constant electric field in the $z-$direction,
$(b)$ a field that uniformly increases in magnitude but remains in a constant (say, $z$) direction,
$(c)$ a single positive charge at the origin, and
$(d)$ a uniform grid consisting of long equally spaced parallel charged wires in a plane
What is an equipotential surface ? Draw an equipotential surfaces for a
$(1)$ single point charge
$(2)$ charge $+ \mathrm{q}$ and $- \mathrm{q}$ at few distance (dipole)
$(3)$ two $+ \mathrm{q}$ charges at few distance
$(4)$ uniform electric field.
What is an equipotential surface ? Draw an equipotential surfaces for a
$(1)$ single point charge
$(2)$ charge $+ \mathrm{q}$ and $- \mathrm{q}$ at few distance (dipole)
$(3)$ two $+ \mathrm{q}$ charges at few distance
$(4)$ uniform electric field.
Assertion : Two equipotential surfaces cannot cut each other.
Reason : Two equipotential surfaces are parallel to each other.
Assertion : Two equipotential surfaces cannot cut each other.
Reason : Two equipotential surfaces are parallel to each other.
- [AIIMS 2011]
This question has Statement $-1$ and Statement $-2$ Of the four choices given after the Statements, choose the one that best describes the two Statements
Statement $1$ : No work is required to be done to move a test charge between any two points on an equipotential surface
Statement $2$ : Electric lines of force at the equipotential surfaces are mutually perpendicular to each other
This question has Statement $-1$ and Statement $-2$ Of the four choices given after the Statements, choose the one that best describes the two Statements
Statement $1$ : No work is required to be done to move a test charge between any two points on an equipotential surface
Statement $2$ : Electric lines of force at the equipotential surfaces are mutually perpendicular to each other
- [JEE MAIN 2013]