Question

3. Determine the polarization of each of the plane-waves whose electric field is given by the following expressions. (The answer must be supported by the required conditions. Also, indicate right-hand or left-hand when applicable.) (a) \(\vec{E}_1 = 20(j\hat{a}_x + \hat{a}_y)e^{-j30z} \) V/m, (b) \(\vec{E}_2 = 10(3\hat{a}_x + j2\hat{a}_y)e^{-j20z} \) V/m, (c) \(\vec{E}_3 = 30[(1-j)\hat{a}_x + (1+j)\hat{a}_y]e^{-j10z} \) V/m.

          3. Determine the polarization of each of the plane-waves whose electric field is given by
the following expressions. (The answer must be supported by the required conditions.
Also, indicate right-hand or left-hand when applicable.)
(a) \(\vec{E}_1 = 20(j\hat{a}_x + \hat{a}_y)e^{-j30z} \) V/m,
(b) \(\vec{E}_2 = 10(3\hat{a}_x + j2\hat{a}_y)e^{-j20z} \) V/m,
(c) \(\vec{E}_3 = 30[(1-j)\hat{a}_x + (1+j)\hat{a}_y]e^{-j10z} \) V/m.

3. Determine the polarization of each of the plane-waves whose electric field is given by
the following expressions. (The answer must be supported by the required conditions.
Also, indicate right-hand or left-hand when applicable.)
(a) E⃗1 = 20(jâx + ây)e^-j30z V/m,
(b) E⃗2 = 10(3âx + j2ây)e^-j20z V/m,
(c) E⃗3 = 30[(1-j)âx + (1+j)ây]e^-j10z V/m.

Added by Carolina V.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Hafiz Shahzaib

Step 1

To determine the polarization, we need to analyze the direction of the electric field vector. In this case, the electric field vector is given by 20j(a + a)e^(-130). The direction of the electric field vector is determined by the coefficient in front of the j Show more…

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Determine the polarization of each of the plane-waves whose electric field is given by the following expressions. (The answer must be supported by the required conditions. Also, indicate right-hand or left-hand when applicable.) aE = 20j(a + a)e^(-130) V/m, bE = 103a + j2ae^(-20) V/m, cE = 30[(1 - ja) + (1 + ja)]e^(-10) V/m.