What is the Peak Current When Discharging Static Electricity?

In summary, a person shuffling across a dry carpet can experience a brief shock when touching a grounded metallic object due to discharging the body's modeled capacitance of 100 pF with one end grounded. With a capacitance of 100 pF, voltage of 20,000 V, and resistance of 100 Ω, the peak current during discharge can be determined by using the equation T=RC, where T is the time constant. The peak current is approximately 200 A.
  • #1
Ryantruran
9
0

Homework Statement



When a person shuffles across a dry carpet, their body can be modeled as a charge 100-pF capacitance with one end grounded. Then, if the person touches a grounded metallic object such as a water faucet, the capacitance is discharged and the person experiences a brief shock. Typically, the capacitance may be charged to 20,000 V and the resistance (mainly of one's finger) is 100Ω. Determine the peak current during the discharge and the time constant of the shock.

So,
C=100 pF
V=20,000 V
R= 100 Ω

Homework Equations



T=RC

The Attempt at a Solution



I already Found T=.01 μS
just stuck at the peak current during discharge
 
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  • #2
Well, when the "switch closes", so to speak, what initial voltage sees what resistance in its path on its way to ground?
 
  • #3
gneill said:
well, when the "switch closes", so to speak, what initial voltage sees what resistance in its path on its way to ground?

200 a ?
 
  • #4
Ryantruran said:
200 a ?

Make that 200 A (capital A for Amperes) and I'll agree :smile:
 
  • #5
I attempted three times to make it capital. not sure why it won't let me. Thanks for the help
 

Related to What is the Peak Current When Discharging Static Electricity?

1. What is peak current during discharge?

Peak current during discharge is the maximum amount of electrical current that flows through a battery or capacitor during the process of discharging. It is typically measured in amperes (A) and is an important parameter that affects the performance and lifespan of a battery or capacitor.

2. How is peak current during discharge determined?

Peak current during discharge is determined by the internal resistance of the battery or capacitor and the load connected to it. It is also affected by the state of charge and temperature of the battery or capacitor. In general, higher internal resistance and lower state of charge result in lower peak current during discharge.

3. Why is peak current during discharge important?

Peak current during discharge is important because it affects the power output and efficiency of a battery or capacitor. Too high of a peak current can lead to overheating and damage, while too low of a peak current may not be sufficient for the intended application. It is also a key factor in determining the overall lifespan and cycle life of a battery or capacitor.

4. How does peak current during discharge differ from continuous current?

Peak current during discharge is the maximum current that a battery or capacitor can supply at a given time, while continuous current is the maximum current that can be supplied continuously without damaging the battery or capacitor. Peak current is typically higher than continuous current, as it takes into account the short bursts of high current that may be required for certain applications.

5. Can peak current during discharge be increased?

Yes, peak current during discharge can be increased by reducing the internal resistance of the battery or capacitor, using a lower load, and maintaining a higher state of charge. However, it is important to note that increasing peak current may also decrease the lifespan of the battery or capacitor, so it is crucial to consider the trade-offs and choose the appropriate peak current for the intended application.

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