Question

If the magnitude of the electrostatic force felt by a charge is three times that from another charge, but their charges are the same, then the electric field strength of this charge is _____ the strength of the other charge.

three times
nine times
one-third
one-ninth

Answer 1

three times

Step-by-step explanation:

F=Eq

3F=3Eq

Answer 2

three times

Step-by-step explanation:

The relation between the force and the electrostatic field is given by

F = q E

where, F be the force , q be the charge and E be the strength of electrostatic field.

Here the charge is q

F = q E .... (1)

Now the charge remains same but the force three times, let E' be the electrostatic field strength.

3F = q E' .... (2)

Divide equation (2) by equation (1)

E' / E = 3F / F

E' = 3 E