Question
A hollow conducting sphere is placed in an electric field produced by a point charge placed at P as shown in figure.
be the potentials at points A, B and C respectively. Then
![](data:image/png;base64,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)
The correct answer is: ![V subscript A end subscript equals V subscript C end subscript](data:image/png;base64,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)
At each point on the surface of a conducting sphere the potential is equal.
So, ![V subscript A end subscript equals V subscript B end subscript equals V subscript C end subscript](data:image/png;base64,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)
Related Questions to study
The figure shows electric potential V as a function of
. Rank the four regions according to the magnitude of
-component of the electric field E within them, greatest first
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)
The figure shows electric potential V as a function of
. Rank the four regions according to the magnitude of
-component of the electric field E within them, greatest first
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)
The general solution of the equation
is
The general solution of the equation
is
Solution of
is given by
Solution of
is given by
Equation of the curve passing through (3, 9) which satisfies the differential equation
is
Equation of the curve passing through (3, 9) which satisfies the differential equation
is
If
and f(1) = 2, then f(3) =
If
and f(1) = 2, then f(3) =
The degree and order of the differential equation of all tangent lines to the parabola x2 = 4y is:
The degree and order of the differential equation of all tangent lines to the parabola x2 = 4y is:
The differential equation of all non-horizontal lines in a plane is :
The differential equation of all non-horizontal lines in a plane is :
The differential equation of all non-vertical lines in a plane is :
The differential equation of all non-vertical lines in a plane is :
The differential equation of all conics with the coordinate axes, is of order
The differential equation of all conics with the coordinate axes, is of order
If the algebraic sum of distances of points (2, 1) (3, 2) and (-4, 7) from the line y = mx + c is zero, then this line will always pass through a fixed point whose coordinate is
If the algebraic sum of distances of points (2, 1) (3, 2) and (-4, 7) from the line y = mx + c is zero, then this line will always pass through a fixed point whose coordinate is