Step-by-step explanation:
(1) Given that,
A charge,
![q=3* 10^(-7)\ C](https://img.qammunity.org/2022/formulas/physics/high-school/udg4h8irj6wwigqft8um2ayfrli4l5wsak.png)
Electric field, E = 27 N/C
We need to find the force acting on the charge. The force on the charge is given by :
![F=qE\\\\F=3* 10^(-7)* 27\\F=8.1* 10^(-6)\ N](https://img.qammunity.org/2022/formulas/physics/high-school/17f3379pifs2q48830xp1n89kryicr67d1.png)
So, the force acting on the charge is
![8.1* 10^(-6)\ N](https://img.qammunity.org/2022/formulas/physics/high-school/by9478ixescimpbqq7vw3u2139ex173968.png)
(b) Charge,
![q=5* 10^(-6)\ C](https://img.qammunity.org/2022/formulas/physics/high-school/nyffdvl74u2260bcg4m0zmqulqts62591l.png)
Force,
![F=2* 10^(-4)\ N](https://img.qammunity.org/2022/formulas/physics/high-school/zrawba89ytgnptoh65bike7hzhwemc38xh.png)
Let E be the electric field.
![E=(F)/(q)\\\\E=(2* 10^(-4))/(5* 10^(-6))\\\\E=40\ N/C](https://img.qammunity.org/2022/formulas/physics/high-school/dp8pco0wge69ortssrqhvde1yua1oe3mj9.png)
So, the electric field is 40 N/C.