Physics
Grade-8
Easy
Question
Which of these is false about the electric field lines?
- The electric field lines originate from a positive charge and end in a negative charge.
- Two electric field lines never intersect each other.
- Electric field lines form closed loops.
- For a single charge, the electric field lines end at infinity.
Hint:
Since electric field lines originate and terminate on charges of opposite polarity,
The correct answer is: Electric field lines form closed loops.
- Since electric field lines originate and terminate on charges of opposite polarity, electric field lines can never form closed loops as to form a closed loop, the electric field lines must originate and end at the same charge.
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![](data:image/png;base64,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)
Find the direction of force acting on the small positive test qo due to a positively charged sphere of charge Q shown in the given figure:
![](data:image/png;base64,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)
PhysicsGrade-8
Physics
If we increase the mass of the two charges the electric force __________.
If we increase the mass of the two charges the electric force __________.
PhysicsGrade-8
Physics
The electric field at a point is defined as:
The electric field at a point is defined as:
PhysicsGrade-8
Physics
Which one of the following is a unit of electric field?
Which one of the following is a unit of electric field?
PhysicsGrade-8
Physics
Electric force ___________ in nature.
Electric force ___________ in nature.
PhysicsGrade-8
Physics
If a charged sphere is exerting a force of 12N on a charge of 3C at a point, then find the electric field strength at that point.
If a charged sphere is exerting a force of 12N on a charge of 3C at a point, then find the electric field strength at that point.
PhysicsGrade-8