Homework 6v4 - EE40 Summer 2011 Homework 6 Neel Shah Due...

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EE40 Summer 2011 Neel Shah Homework 6 Due 8/10/2011 Problem 0. iClicker Serial Number The friendly folks at iClicker decided to wipe out all class databases. Rather than trust them again with your iClicker information I’d prefer to take your serial numbers here. Please submit this information with your assignment. Problem 1. A Circuit Paradox Examine the schematic of a voltage source charging an initially uncharged capacitor. This should be an energy conserving circuit, since we have drawn no dissipative elements (i.e. resistors). The power supplied by the source is g G = ±² . Integrated over time, the energy supplied is ³ g G ´µ · = ± ³ ²´µ · = ¸± Where ¸ is the net charge the voltage source has delivered. The delivered charge now sits across the plates of the capacitor ¹ , and the stored energy in the capacitor is ³ g º ´µ = ³ ± ∙ ¹ ´± ´µ ´µ · = ¹ ³ ±´± · = 1 2 ¹± » · = 1 2 ¸± 50% of our energy has disappeared, which contradicts our expectation that the circuit conserve energy. What is the reason behind this paradox? (Hint: What about the schematic drawn differs from reality?)
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Homework 6v4 - EE40 Summer 2011 Homework 6 Neel Shah Due...

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