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test2spring2007

# test2spring2007 - PHY 207 SPRING 2007 Prof Massimiliano...

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1 PHY 207 – SPRING 2007 Prof. Massimiliano Galeazzi Midterm #2 March 7, 2007 Problem #1 NAME: ________________ SIGNATURE: ________________ Problem #2 UM ID: ________________ Problem #3 __________ Total ___________________________________________________________________________________ Some useful relations: r r q E o ) r 2 4 1 πε = , = i i i o r r q E ) r 2 4 1 πε , = r r dq E o ) r 2 4 1 πε , E q F o v r = Dipole: E p r r r × = τ , E p U r r = Gauss Law: = A d E E r v φ = o encl Q ε r q V o πε 4 1 = , = i i o r q V πε 4 1 , = r dq V o πε 4 1 , k z V j y V i x V V E ˆ ˆ ˆ = = r r , V q U = , = b a ab l d E V r r dV dA dl dq r A rL A dr r dV r V r A cir cyl sph sph sph ρ σ λ π π π π π = = = = = = = = 2 2 3 3 4 2 , 2 4 , , 4 Capacitors: V Q C = ; parallel plates: d A C ε = Capacitors in parallel: ... 2 1 + + = C C C eq Capacitors in series: ... 1 1 1 2 1 + + = C C C eq Energy: QV U 2 1 = ; Energy density: 2 2 1 E u ε = Dielectrics: o K ε ε = Resistors: dt dQ I = ; I V R = ; A L R ρ = Resistors in series: ... 2 1 + + = R R R eq Resistors in parallel: ... 1 1 1 2 1 + + = R R R eq Power: VI P = Kirchhoff rules: 0 = I - node rule = 0 V - loop rule

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