Quiz9-2007-102

Quiz9-2007-102 - NAME: STUDENT NO: SIGNATURE: DEPARTMENT...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: NAME: STUDENT NO: SIGNATURE: DEPARTMENT PHYSICS 102- Summer School- Instructor: M. Özgür OKTEL- June 26, 2006 QUIZ-9 A non-conducting thin annulus of inner radius a and outer radius b is placed on the x-y plane. If the annulus is uniformly charged with total charge Q, a) Find the surface charge distribution σ on the annulus. b) Find the potential V at a point z above the axis of the annulus. z b a SOLUTIONS a) σ= Q A For an annulus inner radius a and outer radius b; A = π (b 2 − a 2 ) Q σ= 2 π (b − a 2 ) b) To find the potential at a point z, we consider concentric rings with infinitesimally small width dr. z D=(r2 + z2)1/2 b a r dr dq 4πε o D dq = σ 2π rdr σ 1 σ 2π rdr dV = = 4πε o z 2 + r 2 2ε o dV = 1 rdr z2 +r2 σ σ b = ( z 2 + r 2 )a = ( z 2 + b2 − z 2 + a2 ) 2ε o 2ε o σ V = ∫ dV = 2ε o Put σ = b ∫ a rdr z2 +r2 Q 2 π (b − a 2 ) Q V= ( z 2 + b2 − z 2 + a2 ) 2 2 2πε o (b − a ) ...
View Full Document

This note was uploaded on 04/23/2010 for the course -- -- taught by Professor -- during the Spring '10 term at Bilkent University.

Page1 / 2

Quiz9-2007-102 - NAME: STUDENT NO: SIGNATURE: DEPARTMENT...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online