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Lesson: Capacitor Charging and Discharging

Worksheet: Capacitor Charging and Discharging • 11 Questions

Q1:

A 500- resistor, an uncharged 1.50- capacitor, and a 6.16-V emf are connected in series.

What is the initial current?

What is the time constant?

  • A s
  • B s
  • C s
  • D s
  • E s

What is the current after one time constant?

What is the voltage on the capacitor after one time constant?

Q2:

The timing device in an automobile’s intermittent wiper system is based on an time constant and utilizes a 0.500-μF capacitor and a variable resistor. Over what range must be made to vary to achieve time constants from 2.00 to 15.0 s?

  • A4.33 to 30.0 MΩ
  • B3.33 to 33.3 MΩ
  • C4.00 to 30.0 MΩ
  • D4.00 to 40.0 MΩ
  • E3.00 to 30.0 MΩ

Q3:

If you wish to take a picture of a bullet traveling at 500 m/s, then a very brief flash of light produced by an discharge through a flash tube can limit blurring. Assuming 1.00 mm of motion during one constant is acceptable, and given that the flash is driven by a 600- capacitor, what is the resistance in the flash tube?

  • A Ω
  • B Ω
  • C Ω
  • D Ω
  • E Ω

Q4:

The duration of a photographic flash is related to an time constant, which is 0.100 µs for a certain camera. The capacitor in the camera is in a circuit with a charging resistance of 800 kΩ, while the flash lamp of the camera has a resistance of 40.0 mΩ during discharge.

What is the capacitance of the capacitor?

What is the time constant for charging the capacitor?

Q5:

A circuit contains a 160-μF capacitor charged to 450 V. The circuit is discharged through a 31.2-kΩ resistor.

Find the time constant of the circuit.

Calculate the temperature increase of the resistor, given that its mass is 2.50 g and its specific heat capacity is . Assume that all of the thermal energy resulting from the discharge is retained in the short time that the discharge lasts.

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