Consider a plane, monochromatic, electromagnetic wave traveling in a homogeneous medium. Its electric field vector E in units of (V/m) is given by E⃗x =0 E⃗y =0 E⃗z =10cos(3πx+π×109t) where t(sec), and x(m). a) Derive an expression for the magnetic field B⃗ . b) Find the direction of the the magnetic field B⃗ from part a.

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Consider a plane, monochromatic, electromagnetic wave traveling in a homogeneous medium. Its electric field vector E in units of (V/m) is given by
E⃗x =0 E⃗y =0 E⃗z =10cos(3πx+π×109t) where t(sec), and x(m).
a) Derive an expression for the magnetic field B⃗ .
b) Find the direction of the the magnetic field B⃗ from part a.

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