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2049_ch23B

# 2049_ch23B - Chapter 23 Gauss Law PHY2049 Chapter 23 1...

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PHY2049: Chapter 23 1 Chapter 23: Gauss’ Law

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PHY2049: Chapter 23 2 Conductors with No Current Î E is zero everywhere inside Why? Conductors are full of mobile charges (e.g., conduction electrons in a background formed by immobile positive ions). If there were E, then the charges must be moving around due to force F=qE. This would contradict “no current.” Note: even if there is an externally imposed E, it cannot go inside Î All excess charge must be on outer surface. Why? Since E=0 everywhere inside, q enc enclosed by any Gaussian surface is also zero everywhere inside. Note: distribution of surface charge must be such to make E=0 everywhere inside Î E is always normal to surface on conductor Why? E component parallel to surface would cause surface charge to move. This would contradict “no current.”
PHY2049: Chapter 23 3 Spherical Symmetry (1) Î Insulator or conductor? Conducting sphere cannot be uniformly charged Î Inside By symmetry, E must be radially symmetric E field has constant mag.,

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2049_ch23B - Chapter 23 Gauss Law PHY2049 Chapter 23 1...

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