Respuesta :
Answer :
(1) The electric field strength is, 3,000 V/m
(2) The force a test charge is, 3 N
Solution for part 1 :
Formula used for electric field strength :
[tex]E=\frac{V}{d}[/tex]
where,
E = electric field strength
V = potential = 12 volts
d = distance between the charge = 0.4 cm = 0.004 m (1 m = 100 cm)
Now put all the given values in the above formula, we get the electric field strength.
[tex]E=\frac{12volts}{0.004m}=3000V/m[/tex]
Therefore, the electric field strength is, 3000 V/m
Solution for part 2 :
Another formula used for electric field strength with force :
[tex]E=\frac{F}{q}[/tex]
where,
E = electric field strength = 3000 V/m (from the solution of part 1)
F = force
q = charge = 0.001 coulomb
Now put all the given values in the above formula, we get the force a test charge.
[tex]3000V/m=\frac{F}{0.001coulomb}[/tex]
[tex]F=3N[/tex]
Therefore, the force a test charge is, 3 N