How Does Charging a Capacitor Affect the Induced Magnetic Field?

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SUMMARY

The discussion focuses on calculating the induced magnetic field generated by a charging capacitor, specifically a 1400 nF capacitor with a diameter of 1.0 cm, charging at a rate of 25.0 mC/s. The induced magnetic field at a distance of 9.0 cm from the center of the plates is derived using the Biot-Savart law, which states that B = (μ₀ * I) / (2πr). The confusion arises from the need to convert the charging rate into current and ensure proper unit handling during calculations.

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  • Understanding of capacitor charging and capacitance (1400 nF capacitor)
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  • Basic knowledge of unit conversions in physics
  • Ability to manipulate equations involving magnetic fields and currents
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Homework Statement



A 1400 nF capacitor with circular parallel plates 1.0 cm in diameter is accumulating charge at the rate of 25.0 mC/s at some instant in time. What will be the magnitude of the induced magnetic field 9.0 cm radially outward from the center of the plates?
T
What will be the magnitude of the field after the capacitor is fully charged?
T



Homework Equations



Obviously I'm a little confused, but I believe the general equation is B=mevE where B is magnetic field, e is c^2/Nxm^2, m is Nxs^2/C^2...on second, thought, I'm very confused.
another possibility is B=(mu) initial x I/ 2 pi r

The Attempt at a Solution



1400x25=35000x(1/9)=3888.89T
 
Last edited:
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Well some of your comments are on the right track. First you need to calculate the current, given the charge per second. Then use that current in your secon equation (often called the law of Biot and Savart).

However, don't forget to look at the units! You can't just plug in 25 without making use of its units milli-Coulomb.
 

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