Grounded Conducting Sphere and a Point Charge | Lecture Note - Edubirdie

University:
Santa Fe College
Course:
ETS 2527C | Electromechanical Components and Mechanisms
Academic year:

2024
Views:

390

Pages:

2
Author:

Jabin F.

Grounded Conducting Sphere and a Point Charge Boundary Conditions: At r = R, V = 0 At r → ∞, V → 0 Potential at point A: VA = 0 = (1 / 4πε₀) * [(q / (a-R)) + (q' / (R-b))] ⇒ q' = -q * (R-b) / (a-R) Potential at point B: VB = 0 = (1 / 4πε₀) * [(q / (a+R)) + (q' / (R+b))] ⇒ q' = -q * (R+b) / (a+R) From equations (i) and (ii): -2(R-b)/(a-R) = -2(R+b)/(a+R) R-b = R+b a-R = a+R aR - bR = aR + bR aR + R^2 - bR - bR = aR + bR - R^2 - bR b = R^2 / a q' = -2(R/a) If R = 2R: q' = -2/2

Related Documents

Grounded Conducting Sphere and a Point Charge

Grounded Conducting Sphere and a Point Charge - Page 1

Grounded Conducting Sphere and a Point Charge - Page 2

of 2

Recommended Documents

Uniform Magnetic Field

Uniform Magnetic Field

Santa Fe College ETS 2527C | Electromechanical Components and Mechanisms

Lecture Note

Interaction Energy Between two Dipoles

Interaction Energy Between two Dipoles

Santa Fe College ETS 2527C | Electromechanical Components and Mechanisms

Lecture Note

Maxwell Equation in Conducting Media

Maxwell Equation in Conducting Media

Santa Fe College ETS 2527C | Electromechanical Components and Mechanisms

Lecture Note

Radiation Engineering Notes

Radiation Engineering Notes

Santa Fe College ETS 2527C | Electromechanical Components and Mechanisms

Lecture Note

Wave Phase Velocity

Wave Phase Velocity

Santa Fe College ETS 2527C | Electromechanical Components and Mechanisms

Lecture Note

Magnetic Field at the Centre of a Regular Polygonal Loop having N side

Magnetic Field at the Centre of a Regular Polygonal Loop having N side

Santa Fe College ETS 2527C | Electromechanical Components and Mechanisms

Lecture Note

Magnetic Field on the Axis of a Circular Coil

Magnetic Field on the Axis of a Circular Coil

Santa Fe College ETS 2527C | Electromechanical Components and Mechanisms

Lecture Note

Volume Bound Current Density

Volume Bound Current Density

Santa Fe College ETS 2527C | Electromechanical Components and Mechanisms

Lecture Note

EM Wave Propagation Through Isotropic, Linear and Dielectric

EM Wave Propagation Through Isotropic, Linear and Dielectric

Santa Fe College ETS 2527C | Electromechanical Components and Mechanisms

Lecture Note

Transformation of Electro Magnetic Field

Transformation of Electro Magnetic Field

Santa Fe College ETS 2527C | Electromechanical Components and Mechanisms

Lecture Note

Total Induced Charge on Plane

Total Induced Charge on Plane

Santa Fe College ETS 2527C | Electromechanical Components and Mechanisms

Lecture Note

Gauss Law in Dielectric

Gauss Law in Dielectric

Santa Fe College ETS 2527C | Electromechanical Components and Mechanisms

Lecture Note