Given:
The electric field is E = 15.43 N/C
The distance is r = 2.53 m away.
Required: Magnitude of charge.
Step-by-step explanation:
The magnitude of charge can be calculated by the formula
![\begin{gathered} E=(kQ)/(r^2) \\ Q=(Er^2)/(k) \end{gathered}](https://img.qammunity.org/2023/formulas/physics/college/ame0e4ur1yiaxrudisdxdcmmkrr20jdp30.png)
Here, Coulomb's constant is
![k\text{ =9}*10^9\text{ N m}^2\text{ / C}^2](https://img.qammunity.org/2023/formulas/physics/college/ug1grxvclexgd2m4pywlzfglln2qjggl84.png)
On substituting the values, the magnitude of charge will be
![\begin{gathered} Q=(15.43*(2.53)^2)/(9*10^9) \\ =1.097*10^(-8)\text{ C} \end{gathered}](https://img.qammunity.org/2023/formulas/physics/college/uz7ytgeoqxti6wf8lbo9501wz0m5f0c4e6.png)
Final Answer: The magnitude of the charge is 1.097 x10^(-8) C