In an RC differentiator, the sum of the capacitor voltage and the resistor volta

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Question
In an RC differentiator, the sum of the capacitor voltage and the resistor voltage at any instant
Options
A. must be zero
B. must be equal to the applied voltage
C. is less than the applied voltage but greater than zero
D. cannot be determined

Correct Answer

must be equal to the applied voltage

Time Response of Reactive Circuits problems

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1. In an RC differentiator, the capacitor
Options
A. charges exponentially at a rate depending on the RC time constant
B. charges exponentially at a rate depending on the input voltage
C. charges when the input voltage is decreasing
D. charges to approximately one time constant

2. If the RC time constant of an integrator is increased, as the time constant is increased
Options
A. the capacitor charges more during a pulse and discharges less between pulses
B. the capacitor charges less during a pulse and discharges more between pulses
C. the capacitor charges more during a pulse and discharges more between pulses
D. the capacitor charges less during a pulse and discharges less between pulses

4. If the capacitor in an integrator becomes leaky,
Options
A. the time constant will be effectively reduced
B. the waveshape of the output voltage across C is altered
C. the amplitude of the output is reduced
D. all of the above

5. With an RL integrator, at the instant of the rising pulse edge,
Options
A. all the input voltage is across the resistor
B. all the input voltage is across the inductor
C. 63 percent of the input voltage is across the resistor
D. 63 percent of the input voltage is across the inductor

6. A steady-state condition is reached when
Options
A. the output voltage reaches the average value of the input voltage
B. the output voltage reaches the input voltage
C. the output voltage reaches approximately 63% of the input voltage
D. the output voltage reaches the effective value of the input voltage

7. In an RL differentiator, when the input pulse goes from its low level to its high level,
Options
A. the inductor prevents a sudden change in voltage
B. the inductor prevents a sudden change in current
C. voltage across the inductor instantly reaches 63% of input voltage
D. voltage across the inductor is zero

9. To understand how the output voltage is shaped by a differentiator, you must consider
Options
A. the response to the rising pulse edge
B. the response between the rising and falling edges
C. the response to the falling pulse edge
D. all of the above

10. Referring this figure, on the falling edge,
Options
A. the resistor voltage drops to ?5 V and then goes back to zero exponentially
B. the resistor voltage jumps to ?5 V and then goes back to zero exponentially
C. the capacitor voltage remains constant
D. the resistor voltage jumps to +5 V and then decreases exponentially to zero

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