- #1
space-time
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- 4
I was studying the Maxwell equation for Faraday's law:
∇×E = -(∂B/∂t)
I then did some math and noticed that the electric field is a conservative vector field, because
∇×E= <0,0,0>
Since this is the case, based on the above Maxwell equation this would set the time derivative of the magnetic field equal to 0 as well (meaning that the magnetic field does not change with respect to time).
If the magnetic field remains constant with respect to time, then what information exactly is supposed to be taken from this equation? Initially, I thought it was supposed to tell you about the electric field that is induced by changing magnetic fields, but the fact that the electric field is conservative seems to disagree with that thought (unless the formula for computing the electric field varies from situation to situation).
∇×E = -(∂B/∂t)
I then did some math and noticed that the electric field is a conservative vector field, because
∇×E= <0,0,0>
Since this is the case, based on the above Maxwell equation this would set the time derivative of the magnetic field equal to 0 as well (meaning that the magnetic field does not change with respect to time).
If the magnetic field remains constant with respect to time, then what information exactly is supposed to be taken from this equation? Initially, I thought it was supposed to tell you about the electric field that is induced by changing magnetic fields, but the fact that the electric field is conservative seems to disagree with that thought (unless the formula for computing the electric field varies from situation to situation).