The value of the electric field at a distance of 83.9 m from a point charge is 46 N/C and is directed radially in toward the charge. What is the charge? The Coulomb constant is 8.98755 × 109 N · m2 /C 2 . Answer in units of C.

is the charge

Explanation:

The electric fields can be defined as the ratio of electric forces per unit charge.

          ---------> eq 1

The electric field differs from many quantities such as mass, forces, and speed. The electric field is not a property of a particular object, but a property of a given point in space. All electric charges form an electric field and we can analyse the value (size and direction) of this field at any point in space around the distribution of the charge.

The simplest formula for an electric field is that produced by a point charge:

        ------> eq. 2

Where,

q - Charge

r - Distance of separation from the charge

k = the Coulomb constant (  )

If the charge is negative, the field is radially inward; if the charge is positive, it is directed radially outward.

Here, given data:

r = 83.9 m

E = 46 N/C

We need to find q.

Substitute the given values in eq 2, we get

         

         

         

The average speed is calculated by dividing the total distance of a journey by the total time taken to complete the journey. The distance here is 2 kilometers and the time is 20 minutes or 1/3 hours. Expressing the speed in km/hr:
2 / (1/3) = 6 kilometers per hour
or in meters per second:
2000 / (20 * 60) = 1.67 meters per second.