HW3_Prelab - ECE 2100 Homework assignment 3 Solution prelab...

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ECE 2100 Homework assignment 3 Solution prelab Covered: Chapters 5-7: Inductors and capacitors, Natural and step responses of RC and RL circuits, natural and step responses of RLC circuits, under, over and critically damped responses. 1) Prelab: Consider the following RC circuit and RL circuits: a. For the RC circuit, what its time constant? τ =RC=560 ·0.1 μ F= 56 μ s (alternate: accounting for 50 in source and shunt, R=585 barb2right τ = 58.5 μ s ) b. What will the RC step response be? Hint: what are I( ) and Vout( ) if Vin(t)=1V·u(t)? Vout( )=1V, so Vout(t)= u(t)1V(1-exp(-t/56 μ s) c. For the LC circuit, what its time constant? τ =L/R=·1200 μ H /560 = 2.14 μ s (alternate, R=585 barb2right τ = 2.05 μ s ) d. What will the LC step response be? Hint: what are I( ) and Vout( ) if Vin(t)=1V·u(t)? Vout( )=0V, I( )=1V/560 , Vout(t)= u(t)1V(exp(-t/2.14 μ s) 2) Prelab: Consider the following RLC circuit which is driven by the function generator as shown below. Note that the 50 load which appears on the output of the function generator is also placed in the circuit diagram. The square wave transitions from zero to
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