W9_parallel_resonance.eps
Week 5: Resistance 179 each resistor, given a common voltageVabacross them: I 1 = Vab R 1 (335) I 2 = Vab R 2 (336) I 3 = Vab R ...
180 Week 5: Resistance V V = I R V 2 V = Q/C 2 1 3 3 4 V = I R (^55) I I 2 I 3 I 4 start I 1 (a) (b) Figure 57: (a) A single “ge ...
Week 5: Resistance 181 junction itself cannot act as a reservoir for charge – it has negligiblecapacitance because it is part of ...
182 Week 5: Resistance If oneshort-circuitsa battery – connects a very low/zero resistance across its terminals – then the batte ...
Week 5: Resistance 183 Example 5.4.2: A Multiloop Resistance Problem Although we will have many opportunities to use Kirchhoff’s ...
184 Week 5: Resistance equation for loop 2 minus the equation for loop 1. This ischaracteristicof multiloop problems – the sum o ...
Week 5: Resistance 185 Note well thatI 2 comes outnegative– this simply means that we guessed its directionincorrectly in our or ...
186 Week 5: Resistance Multiply through bydt, divide through byQ, to get: dQ Q =−dt RC (376) Integrate both sides (indefinite in ...
Week 5: Resistance 187 The argument of an exponential (or any transcendental function) has to be dimensionless, so the units ofR ...
188 Week 5: Resistance Nowmultiply through bydt, divide through byQ−CV 0 : dQ Q−CV 0 =− dt RC (395) and integrate both sides (in ...
Week 5: Resistance 189 ions. As such there is a “rise time” required to charge up a neuron towhere it can fire, followed by a su ...
190 Week 5: Resistance Homework for Week 5 Problem 1. Physics Concepts Make this week’s physics concepts summary as you work all ...
Week 5: Resistance 191 Problem 4. +Qo S C R Suppose switchSis closed at timet= 0 when the charge on the capacitor isQ 0. FindQ(t ...
192 Week 5: Resistance Problem 6. C Q1i 1 C 2 R S + A pair of capacitorsC 1 andC 2 is connected as shown, with a resistanceRin b ...
Week 5: Resistance 193 Advanced Problem 7. Suppose you have an infinite network of identical resistorsR, arranged in a square 2d ...
194 Week 5: Resistance ...
IV: Magnetostatics 195 ...
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Week 6: Moving Charges and Magnetic Force (Est 2/13-2/18) A charge moving through space is observed to deflect according tothe ...
198 Week 6: Moving Charges and Magnetic Force Thetorqueon a magnetic dipole in a uniform magnetic field is: ~τ=~m×B~ (405) Ass ...
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