A set of equipotential lines and their values are given as shown in the figure below. What is the electric field at point P? Take each small grid to be 1 mm long. Y 83V 83 V 4.1 V 4.1V 1.3V -1.3 V OA. kV 1.3 (-7) OB. 1.3 (+7) kV OC. kV 2.6 (++) OD. kV (-7) 2.6 OE. None of the options given 32 3

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A set of equipotential lines and their values are given as shown in the figure below. What is the electric field at point P? Take each small grid to be 1 mm long.
Y
8.3 V
-83 V
4.1 V
4.1 V
1.3 V
-1.3 V
O A.
kV
1.3 (-7)
O B.
kV
1.3
m
(+7)
OC.
kV
2.6
(+7)
OD.
kV
2.6 (-7)
O E. None of the options given
Transcribed Image Text:A set of equipotential lines and their values are given as shown in the figure below. What is the electric field at point P? Take each small grid to be 1 mm long. Y 8.3 V -83 V 4.1 V 4.1 V 1.3 V -1.3 V O A. kV 1.3 (-7) O B. kV 1.3 m (+7) OC. kV 2.6 (+7) OD. kV 2.6 (-7) O E. None of the options given
Expert Solution
Step 1

The electric potential is defined as the work done to bring a unit positive charge from infinity to a point. Therefore, the work done to move a charge along an equipotential line will be zero.

The electric field is defined as the rate of change of potential in space. The direction of the electric field is always perpendicular to the equipotential line. 

 

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