# Question

An air-filled parallel plate capacitor consists of square plates 10.0 cm on a side separated by 2.25 mm.

(a) What is the capacitance of this arrangement?

(b) The capacitor is then connected in series to a 500-Ω resistor and a 25-V DC power supply. What is the time constant of this circuit?

(c) What plate spacing would double the time constant?

(d) To double the time constant by changing the area, what would the new length of each side be?

(e) To double the time constant by inserting a dielectric material to completely fill the space between plates, what dielectric constant would the material have to have?

(a) What is the capacitance of this arrangement?

(b) The capacitor is then connected in series to a 500-Ω resistor and a 25-V DC power supply. What is the time constant of this circuit?

(c) What plate spacing would double the time constant?

(d) To double the time constant by changing the area, what would the new length of each side be?

(e) To double the time constant by inserting a dielectric material to completely fill the space between plates, what dielectric constant would the material have to have?

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