How to calculate the current of a stream of electrons

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SUMMARY

The calculation of electric current generated by the stream of electrons from Io to Jupiter is based on the formula I = Q/t, where I represents current, Q is the total charge, and t is the time period. In this scenario, 2.6 × 10^26 electrons, each with a charge of 1.6 x 10^-19 coulombs, travel to Jupiter over a 15-second interval. The total charge (Q) can be calculated by multiplying the number of electrons by the charge of a single electron, resulting in a current of approximately 6.93 A.

PREREQUISITES
  • Understanding of electric current and its formula (I = Q/t)
  • Knowledge of electron charge (1.6 x 10^-19 coulombs)
  • Basic familiarity with scientific notation and large numbers
  • Ability to perform basic arithmetic operations
NEXT STEPS
  • Research the concept of electric charge and its units
  • Learn about the principles of electric current in physics
  • Explore the effects of electric currents in different environments, such as space
  • Study advanced topics in electromagnetism and particle physics
USEFUL FOR

Students studying physics, educators teaching electric current concepts, and anyone interested in the effects of volcanic activity on Io and its impact on Jupiter's environment.

ravsterphysics
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Homework Statement



The planet Jupiter has a moon Io. Volcanic activity on Io releases clouds of electrons which travel at high speeds towards Jupiter.

During a 15 s time period, 2.6 × 10^26 electrons reach Jupiter from Io.

Calculate the current.

Homework Equations



I know current I = Q/t and that an electron has charge 1.6 x 10^-19 but I don't know how to relate this to the question. Can someone explain this to me please.

The Attempt at a Solution

 
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ravsterphysics said:
I know current I = Q/t and that an electron has charge 1.6 x 10^-19 **coulomb**
Yes.
So how much charge traveled to Jupiter from Io in how much time?
 
cnh1995 said:
Yes.
So how much charge traveled to Jupiter from Io in how much time?

doh! so we have 2.6 electrons and each electron has charge of 1.6 coulombs, so the current is: charge (electrons x charge) divided by time. Got it.

Thanks!
 

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