Home
Class 12
PHYSICS
Assertion: Work done in moving a charge ...

Assertion: Work done in moving a charge between any two points in a unifrom electric field is independent of the path followed by the charge, between these points.
Reason: Electrostatic forces are non-conservative.

A

If both assertion and reason are true and reson is the correct explanation of the assertion.

B

If both assertion and reason are true but reason is not the correct explanation of the assertion.

C

If the assertion is true but the reason are false.

D

If both the assertion and reason are false.

Text Solution

AI Generated Solution

The correct Answer is:
To analyze the given assertion and reason, we can break down the problem into clear steps: ### Step 1: Understand the Assertion The assertion states that "Work done in moving a charge between any two points in a uniform electric field is independent of the path followed by the charge, between these points." In a uniform electric field, the electric field strength (E) is constant in magnitude and direction. The work done (W) on a charge (q) when moving it from point A to point B can be calculated using the formula: \[ W = q \cdot (V_A - V_B) \] where \( V_A \) and \( V_B \) are the electric potentials at points A and B, respectively. Since the work done depends only on the initial and final potentials and not on the path taken, the assertion is **true**. ### Step 2: Understand the Reason The reason states that "Electrostatic forces are non-conservative." Electrostatic forces are actually conservative forces. This means that the work done by electrostatic forces in moving a charge between two points is path-independent and depends only on the initial and final positions. Therefore, the reason is **false**. ### Step 3: Conclusion Now we need to conclude whether the reason explains the assertion. Since the assertion is true and the reason is false, the reason does not explain the assertion. ### Final Answer - Assertion: True - Reason: False - Conclusion: The reason does not explain the assertion. ---

To analyze the given assertion and reason, we can break down the problem into clear steps: ### Step 1: Understand the Assertion The assertion states that "Work done in moving a charge between any two points in a uniform electric field is independent of the path followed by the charge, between these points." In a uniform electric field, the electric field strength (E) is constant in magnitude and direction. The work done (W) on a charge (q) when moving it from point A to point B can be calculated using the formula: \[ W = q \cdot (V_A - V_B) \] where \( V_A \) and \( V_B \) are the electric potentials at points A and B, respectively. ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • ELECTRIC POTENTIAL & CAPACITANCE

    A2Z|Exercise Section D - Chapter End Test|29 Videos
  • ELECTRIC POTENTIAL & CAPACITANCE

    A2Z|Exercise AIIMS Questions|20 Videos
  • ELECTRIC CHARGE, FIELD & FLUX

    A2Z|Exercise Section D - Chapter End Test|29 Videos
  • ELECTROMAGNETIC INDUCTION

    A2Z|Exercise Section D - Chapter End Test|30 Videos

Similar Questions

Explore conceptually related problems

The work done in moving a charge particle between two points in a uniform electric field, does not depend on the path followed by the particle . Why ?

The work done in carrying a point charge form one point to another in an electrostatic field depends on the path along which the point charge is carried.

Knowledge Check

  • Assertion (A): Work done in moving a charge between any two points in a uniform electric field is independent of the path followed by the charge between these two points. Reason (R ): Electrostatic forces are non-conservative.

    A
    Both A and R are true and R is the correct explanation of A
    B
    Both A and R are true but R is NOT the correct explanation of A
    C
    A is true but R is false
    D
    A is false and R is True
  • _________ is the ''work done in moving a unit charge between two points in an electric circuit''

    A
    Potential difference
    B
    Current
    C
    Power
    D
    Resistance
  • The work done in moving a unit charge across two points in an electric circuit is a measure of:

    A
    current
    B
    potential difference
    C
    resistance
    D
    power
  • Similar Questions

    Explore conceptually related problems

    The work done in moving a charge of 3 C between two points is 6J. What is the potential difference between the two points?

    The force is ………. if the work done by the force in displacing a particle from one point to another is independent of the path followed by the particle .

    A charge of 5 C is moved between two point is an electric field and 20 J of work was done to do so. Calculate the potential difference between the two points.

    Assertion : Work done by or against gravitational force in moving a body from one point to another is independent of the actual path followed between the two points. Reason : This is because gravitational forces are conservative forces.

    What is the work done in moving a unit positive charge from infinity to that point in electric field called?