A small object carrying a charge -5 × 10-9 Coulomb experiences a downward force of 20 × 10-9 Newton when placed at a certain point in an electric field. The electric field intensity at the point is

A small object carrying a charge -5 × 10-9 Coulomb experiences a downward force of 20 × 10-9 Newton when placed at a certain point in an electric field. The electric field intensity at the point is Correct Answer 4 Newton/Coulomb upward

CONCEPT:

  • Electric field force: When a charge moves in an electric field, a force will act on it, that is known as electric field force.
    • Due to the electric field, Force is always in the direction of the electric field if the charge is positive.

F = qE

where F is the force due to the electric field, q is the charge, and E is the electric field.

CALCULATION:

Given that q = -5 × 10-9 Coulomb and F = 20 × 10-9 Newton

F = qE

20 × 10-9 = -5 × 10-9 × E

E = 4 Newton/Coulomb

  • Since the charge is negative so the direction of the electric field will be opposite to the direction of Force (downward).

E = 4 Newton/Coulomb upward.

So the correct answer will be option 3.

Related Questions

How far is point 'R' from Point 'T'? Statement (I): Point 'R' is 5 metres to the north of point 'M'. Point 'U' is 4 metres to the east of point 'R'. Point 'T' is to the west of point 'R' such that points 'U' 'R' and 'T' form a straight line of  metres. Statement (II): Point 'Z' is metres to the south of point 'T'. Point 'U' is  metres to the east of point 'T'. Point 'M' is  metres to the east of point 'Z'. Point 'R' is  metres to the north of point 'M'. Point 'R' lies on the line formed by joining points 'T' and 'U'.
Assertion (A) The coulomb force is the dominating force in the universe.
Reason (R) The Coulomb force is stronger than the gravitational force.
The electric field strength at a far-off point P due to a point charge, +q located at the origin O is 100 milliVolt/meter. The point charge is now enclosed by a perfectly conducting hollow metal sphere with its centre and the origin O. The electric field strength at the point, P is