Answer:
[tex]3.46\cdot 10^{-6}C[/tex]
Explanation:
The electric force experienced by a charged object when immersed in an electric field is given by
[tex]F=qE[/tex]
where
F is the force
q is the charge
E is the electric field
The direction of the force is:
- The same as the field if the charge is positive
- Opposite to the field if the charge is negative
In this problem we have:
F = 2.7 N is the force experienced by the balloon
[tex]E=7.8\cdot 10^5 N/C[/tex] is the magnitude of the electric field
Solving for q, we find the magnitude of the charge on the balloon:
[tex]q=\frac{F}{E}=\frac{2.7}{7.8\cdot 10^5}=3.46\cdot 10^{-6}C[/tex]
