A point charge q 1 = -9.3 ?C is located at the center of a thick conducting shel

Question

A point charge q1 = -9.3 ?C is located at the center of a thick conducting shell of inner radius a = 2.5 cm and outer radius b = 4.3 cm, The conducting shell has a net charge of q2 = 2.7 ?C.

1) What is Ex(P), the value of the x-component of the electric field at point P, located a distance 6 cm along the x-axis from q1?

2) What is Ey(P), the value of the y-component of the electric field at point P, located a distance 6 cm along the x-axis from q1?

3) What is Ex(R), the value of the x-component of the electric field at point R, located a distance 1.25 cm along the y-axis from q1?

4) What is Ey(R), the value of the y-component of the electric field at point R, located a distance 1.25 cm along the y-axis from q1?

5) What is ?b, the surface charge density at the outer edge of the shell?

6) What is ?a, the surface charge density at the inner edge of the shell?

A point charge q1 = -9.3 ?C is located at the center of a thick conducting shell of inner radius a = 2.5 cm and outer radius b = 4.3 cm, The conducting shell has a net charge of q2 = 2.7 ?C. What is Ex(P), the value of the x-component of the electric field at point P, located a distance 6 cm along the x-axis from q1? What is Ey(P), the value of the y-component of the electric field at point P, located a distance 6 cm along the x-axis from q1? What is Ex(R), the value of the x-component of the electric field at point R, located a distance 1.25 cm along the y-axis from q1? What is Ey(R), the value of the y-component of the electric field at point R, located a distance 1.25 cm along the y-axis from q1? What is ?b, the surface charge density at the outer edge of the shell? What is ?a, the surface charge density at the inner edge of the shell?

Explanation / Answer

1) What is Ex(P), the value of the x-component of the electric field at point P, located a distance 6 cm along the x-axis from q1?

Ex(P) = k (q1+q2)/(r^2) = 8.99e9*(-9.3e-6 + 2.7e-6)/0.06^2 = -1.65 x 10^7 N/C

2) What is Ey(P), the value of the y-component of the electric field at point P, located a distance 6 cm along the x-axis from q1?

Ey(P) = 0 N/C

3) What is Ex(R), the value of the x-component of the electric field at point R, located a distance 1.25 cm along the y-axis from q1?
Ex(R) = 0 N/C

4) What is Ey(R), the value of the y-component of the electric field at point R, located a distance 1.25 cm along the y-axis from q1?

Ey(R) = k (q1)/(r) = 8.99e9*(-9.3e-6)/(0.0125^2) = -5.35 x 10^8 N/C

5) What is ?b, the surface charge density at the outer edge of the shell?

sigma_b = (q2 - q1)/(4 pi b^2) = ((2.7e-6) - (9.3e-6))/(4*3.1416*(4.3e-2)y2) = -2.84 x 10^-4 C/m2

6) What is ?a, the surface charge density at the inner edge of the shell?

sigma_a = q1/(4 pi a^2) = (9.3e-6)/(4*3.1416*(2.5e-2)^2) = 1.18 x 10^-3 C/m2

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.