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p2f10_lec06_LC_oscillations_RC_RL

# p2f10_lec06_LC_oscillations_RC_RL - Physics 2 F 2010...

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Unformatted text preview: Physics 2 F 2010 Lecture 06 Analysis and transient behavior of RC, RL, LC and RLC circuits Capacitors and inductors in circuits 2 2 1 L R C C di d q Emf L L dt dt dq Emf iR R dt q Emf idt C C = - = - = = = = ∫ • Write Emf loop equations and/or junction equations using current or charge as convenient. • Solve differential equation for current or charge. P2F09 3 RC circuit review +- i ; Write the loop law: C C R C R C q dq V V R C dt q E V V E iR C dq q E dt RC R = - = - + + =-- = + = / Include initial conditions in solution: Discharging: 1 ( ) t RC C dq q dt RC dq dt q RC V t Ee- + = = - = The oscilloscope – an overview Inputs Sweep and Amplitude Trigger Measurements and Cursors Observing a real circuit The oscilloscope measures the voltage across the resistor (V R =IR). The diode allows current to flow into the circuit for positive applied voltage, but isolates the circuit for negative applied voltage. R C Function generator Oscilloscope P2F09 6 RL circuit ; L R R C E i R di V L V iR dt V V di L iR dt = = - = - + = + = Then switch to position b Initial condition: Start circuit with switch in “a” position so that current E/R flows through inductor....
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p2f10_lec06_LC_oscillations_RC_RL - Physics 2 F 2010...

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