Respuesta :
Charge of the glass bead Q = 8.0 x 10^-9 C
Distance d = 2.0 cm = 0.02 m
Coulombs constant K = 8.99 x 10^9 Nm^2/C^2
Electric Field E = k x Q / d^2 = 8.99 x 10^9 x 8.0 x 10^-9 / (0.02)^2
E = 71.92 / 0.0004 = 17.98 x 10^4
The electric field is 1.8 x 10^5 N/C
The electric field of the bead is 179800 N/C.
To calculate the electric field we use the formula below.
Formula:
- E = kq/r².................. Equation 1
Where:
- E = Electric field
- r = distance of the bead from the center of the circle
- q = Charge on the bead
- k = constant.
From the question,
Given:
- q = 8.0 nC = 8.0×10⁻⁹ C
- r = 2.0 cm = 0.02 m
- k = 8.99×10⁹ Nm²/C²
Substitute these values into equation 1
- E = (8.0×10⁻⁹)(8.99×10⁹)/0.02²
- E = 179800 N/C.
Hence, the electric field of the bead is 179800 N/C.
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