Question

Напряжённость поля точечного заряда, помещённого в керосин, на расстоянии 10 см от заряда равно 18кВ/м. Определить величину заряда

Answer 1

E=k*q/e*R^2
q=E*e*R^2/k=18*10^3*2,1*0,01/9*10^-9=3,78*10^-7 Кл

Answer 2

Calculation of Charge Based on Electric Field Intensity

To determine the magnitude of the charge, we can use the formula for the electric field intensity produced by a point charge:

E = k * (Q / r^2)

Where: - E is the electric field intensity - k is the Coulomb's constant (k = 8.99 * 10^9 Nm^2/C^2) - Q is the magnitude of the charge - r is the distance from the charge

In this case, the electric field intensity is given as 18 kV/m (kilovolts per meter) at a distance of 10 cm (0.1 m) from the charge.

Substituting the given values into the formula, we can solve for the magnitude of the charge (Q):

18 kV/m = (8.99 * 10^9 Nm^2/C^2) * (Q / (0.1 m)^2)

Simplifying the equation:

18 * 10^3 V/m = (8.99 * 10^9 Nm^2/C^2) * (Q / 0.01 m^2)

To find the value of Q, we can rearrange the equation:

Q = (18 * 10^3 V/m * 0.01 m^2) / (8.99 * 10^9 Nm^2/C^2)

Calculating the value:

Q = (18 * 10^3 * 0.01) / (8.99 * 10^9) C

Q ≈ 0.020 C (coulombs)

Therefore, the magnitude of the charge is approximately 0.020 coulombs.

Please note that the calculation assumes the medium (kerosene) does not affect the electric field intensity.