A particle with a charge +q is placed in a uniform electric field. Identify from

Question

A particle with a charge +q is placed in a uniform electric field. Identify from choices (a)-(f) how each change described in 1 to 7 will impact the electric force on the particle. This change will: change only the direction of the electric force. increase the magnitude of the electric force. decrease the magnitude of the electric force. increase the magnitude and change the direction of the electric force. decrease the magnitude and change the direction of the electric force. not effect the electric force. All of these modifications are changes to the initial situation shown in the diagram. The charge q on the particle is doubled. ______ The sign of the charge q on the particle is changed to the opposite sign. ______ The direction of the uniform electric field is rotated 90 degree clockwise. _______ The magnitude of the uniform electric field is halved. ______ The particle is given a push causing a leftward initial velocity. _____ The direction of the uniform e

Explanation / Answer

1) Option b

Since electric force is directly proportional to the charge of the particle by Coulomb's law, if the charge is doubled the magnitude of the force field also doubles.

2) Option a

Since the sign of the charge is reversed the force will also be in the opposite direction.

3) Option a

Since the direction of the uniform field is changed the direction of the electric force experienced on a particle also will change since force and field are a same direction vector in case of a positive charge. (F=qE)

4) Option c

Since electric field and force have a direct proportionality when the electric field is halved the force also will be haved.

5) Option f

Since there is no relation for electric force with the velocity of the particle it will not effect the force on the particle.

6) Option a

The electric force will also flip its direction by 180o.

7) Option f

Again there is no effect on the initial velocity. The force remains same on the particle.

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