The magnetic field of a travelling electromagnetic wave is described by the wave function $B(z,t)=1.0\times {10}^{-3}\sin (kz-1.27\times {10}^{12}t)$, where k is the wave number. Write the complete wave function for the electric field of this wave.

• A. $E(z,t)=1.0\times {10}^3\sin (3.81\times {10}^{20}z-1.27\times {10}^{12}t)$
• B. $E(z,t)=3.0\times {10}^{11}\sin (3.81\times {10}^{20}z-1.27\times {10}^{12}t)$
• C. $E\(\left\)(z,t\(\right\))=3.0\(\times\)10^5\(\sin\]\left\)(4.23\(\times\)10^3z-1.27\(\times\)10^{12}t\(\right\))$
• D. $E\(\left\)(z,t\(\right\))=1.0\(\times\)10^3\(\sin\]\left\)(4.23\(\times\)10^3z-1.27\(\times\)10^{12}t\(\right\))$

Answer: (C)