The electric field due to a charge at distance of 3m from it is 500N/C.the magnitude of the charge is?

Question

Answer

Calculating Charge from Electric Field

To calculate the magnitude of the charge, we can use the equation:

Electric Field = Coulomb's Constant x (Charge / Distance^2)

Where:

Solving for Charge

Substituting the given values into the equation:

500 N/C = (9 x 10^9 Nm^2/C^2) x (Charge / (3m)^2)

Simplifying:

Charge = (500 N/C x (3m)^2) / (9 x 10^9 Nm^2/C^2)

Charge = 5 x 10^-6 C

Conclusion

The magnitude of the charge is 5 x 10^-6 C.

Therefore, the electric field of a charge at a distance of 3m from it is 500 N/C, the magnitude of the charge is 5 x 10^-6 C.

Answer