How Does Charging a Capacitor Affect the Induced Magnetic Field?

AI Thread Summary
Charging a capacitor induces a magnetic field around it, which can be calculated using the current generated during the charging process. In this case, a 1400 nF capacitor charges at 25.0 mC/s, leading to a current that can be used in the Biot-Savart law to find the magnetic field at a distance of 9.0 cm from the center of the plates. The initial calculation provided was incorrect due to unit mismanagement; proper conversion and application of the current are necessary for accuracy. Once the capacitor is fully charged, the induced magnetic field will drop to zero, as there will be no current flow. Understanding the relationship between charge, current, and magnetic fields is crucial for solving such problems.
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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
 
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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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