# lecture16 - Two questions(1 How to find the force F on the...

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Unformatted text preview: Two questions: (1) How to find the force, F on the electric charge, q excreted by the field E and/or B? (2) How fields E and/or B can be created? B v q E q F × + = 2 r Q k E = Gauss’s law for electric field Electric charges create electric field: For one not moving (v<<c) charge: Gauss’s law for magnetic field Magnetic charges do not exist: Amperes law Electric current creates magnetic field: (As we will see later, this law should be extended ) Maxwell’s equations cos ε θ encl E Q A d E dA E = ≡ ≡ Φ ∫ ∫ cos = ≡ ≡ Φ ∫ ∫ A d B dA B B θ encl I l d B dl B cos μ θ = ≡ ∫ ∫ ; dt d B Φ- = ε Faraday’s law A changing magnetic field induces an EMF A changing magnetic flux induces an electric field ! ∫ ∫- = A d B dt d l d E 11. Electromagnetic induction (Faraday’s law) 1) Flux (review) ∫ ≡ Φ ≡ Φ A d B A d B d B B 2) EMF (review) ∫ ∫ ∫ ≡ ≡ ≡ l d E q l d F q dW ε ε 3) Faraday’s law dt d B Φ- = ε ∫- = A d B dt d ε A changing magnetic flux induces an electric field! This electric field is not a potential field. The field lines form a closed loops....
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lecture16 - Two questions(1 How to find the force F on the...

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