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Sp04-MT2-Smoot-Exam+Soln

Sp04-MT2-Smoot-Exam+Soln - Department of Physics University...

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Department of Physics, University of California, Berkeley Mid-term Examination 2 Physics 7B, Section 2, Prof. Smoot 6:00 pm - 8:00 pm, 6 April 2004 Name: SID No: Discussion Section: Name of TA: Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Score: 1

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Capacitors in series : 1 C eq = 1 C i Capacitors in parallel ; C eq = C i Energy stored in a capacitor : U = 1 2 CV 2 Energy density : u = 1 2 0 E 2 Current : I = dq dt Current and current density : dI = j · d A Ohm s law : V = IR Ohm s law : j = σ E Resistivity and resistance : R = ρ l A Electric power ( DC ) : P = V I Average electric power ( AC ) : P = 1 2 I 2 0 R rms current : I rms = 1 2 I 0 Resistors in series : R eq = R i Resistors in parallel : 1 R eq = 1 R i Kirchhoff current rule : I = 0 at a node Kirchhoff potential rule : ε = IR around a loop V = ∂V ∂x ˆx + ∂V ∂y ˆy + ∂V ∂z ˆ z V = ∂V ∂r ˆ r + 1 r ∂V ∂φ ˆ φ + ∂V ∂z ˆ z V = ∂V ∂r ˆ r + 1 r ∂V ∂θ ˆ θ + 1 rsinθ ∂V ∂φ ˆ φ Some useful Integrals: dx x 2 + a 2 = log x + x 2 + a 2 or sinh - 1 x a dx x 2 + a 2 = 1 a arctan ( x a ) dx ( x 2 + a 2 ) 3 / 2 = x a 2 x 2 + a 2 3

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1. [25 points] Short Questions (a) [5 points] Circle (black in) T or F for True or False T F (i) Unlike electric charges attract and like charges repel. T F (ii) The net amount of charge produced in any process is zero. T F (iii) The electric field intensity anywhere is the sum of the electric field intensity from all the contributing charges. T F (iv) Electric charge is quantized.
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Sp04-MT2-Smoot-Exam+Soln - Department of Physics University...

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