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College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

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BuyFindarrow_forward

College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

The RC charging circuit in a camera flash unit has a voltage source of 275 V and a capacitance of 125 μF. (a) Find its resistance R if the capacitor charges to 90.0% of its final value in 15.0 s. (b) Find the average current delivered to the flash bulb if the capacitor discharges 90.0% of its full charge in 1.00 ms.

(a)

To determine
The resistance R if the capacitor charges to 90.0% of its final value in 15.0s .

Explanation

Given Info: Capacitance C is 125μF , time t is 15.0s charge on the capacitor q is 90.0% maximum charge on the capacitor Q is 100.0%

Explanation:

Formula to calculate the time constant τ of the circuit

q=Q(1e(tτ))

On rearrange

τ=tln(1qQ)

  • C is the capacitance of the capacitor,
  • τ is the time constant,
  • t is the time
  • q is the charge on the capacitor,
  • Q is the maximum charge on the capacitor,

Substitute, 15.0s for t , 90.0% for q and 100.0% for Q in the above equation to find τ

τ=15.0sln(190.0%100.0%)=15

(b)

To determine
The average current Iav delivered to the flash bulb if the capacitor discharges 90.0% of its full charge in 1.00ms .

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