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# nguyen (abn334) - HW#12 - Jaafari - (1444F) This print-out should have 10 questions. Multiple-choice questions may continue on the next column or

Question 1,2,3
nguyen (abn334) – HW#12 – Jaafari – (1444F) 1 This print-out should have 10 questions. Multiple-choice questions may continue on the next column or page – ±nd all choices before answering. 001 (part 1 of 2) 10.0 points A voltage of the form v = v max sin(2 πft ), with frequency 60 Hz and voltage 405 V, is applied to a pure inductance of 0 . 487 H. T is the period. What is the current through the circuit when t = T 2 ? Answer in units of A. 002 (part 2 of 2) 10.0 points What is the current through the circuit when t = T ? Answer in units of A. 003 (part 1 of 2) 10.0 points An LC circuit is shown in the ±gure below. The 41 pF capacitor is initially charged by the 5 V battery when S is at position a . Then S is thrown to position b so that the capacitor is shorted across the 19 mH inductor. 19 mH 41 pF 5 V S b a What is the maximum value for the oscil- lating current assuming no resistance in the circuit? Answer in units of A. 004 (part 2 of 2) 10.0 points What is the maximum energy stored in the magnetic ±eld of the inductor? Answer in units of J. 005 10.0 points A circuit containing resistance only is con- nected to a 110-V, 60-Hz line. If a capacitor is connected in series with the resistance, how will the current change? 1. The current is decreased. 2. The current remains the same. 3. The current is in phase with the emf . 4. The current is increased. 5. The current lags the emf . 006 10.0 points The emf E drives the circuit shown below at angular velocity ω. E C R L When does the light bulb (with resistance R ) glow most brightly? 1. both higher frequencies, 1 LC < ω < , or lower frequencies, 0 < ω < 1 LC 2. the resonant angular velocity, ω = 1 LC 3. higher frequencies, 1 LC < ω < 4. steady DC voltage, ω = 0 5. lower frequencies, 0 < ω < 1 LC 007 (part 1 of 2) 10.0 points Consider an LC circuit in which the in- ductance is 556 mH and the capacitance is 0 . 08 μ F. What is the resonant angular frequency? Answer in units of rad / s. 008 (part 2 of 2) 10.0 points If a 4 . 8 kΩ resistance is introduced into this circuit in series with the inductor and ca-
nguyen (abn334) – HW#12 – Jaafari – (1444F) 2 pacitor, what is the angular frequency of the (damped) oscillations? Answer in units of rad / s. 009 (part 1 of 2) 10.0 points A series RLC circuit has a resonance fre- quency of 102 . 048 Hz. When it is operating at a frequency of ω > ω 0 , X L = 19 . 2 Ω and X C = 3 . 7 Ω. Calculate the capacitance for the circuit. Answer in units of μ F. 010 (part 2 of 2) 10.0 points Calculate the inductance for the circuit. Answer in units of mH.

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