Two parallel waves travelling together are represented by the following functions: E = Eo1 sin(wt + a1) and Eq = E28in(wt + ag), %3D with: · Eoi = 33 V/m, • Eon = 79 V/m, • w= 277 rad/s, • aj =0.2723 rad, • ag = 1.402 rad. a)l. Find the resultant amplitude Eo for the superposition of the two waves. Eo =\ V/m %3D b)l The expression of the resultant wave for the superposition of E1 and E2 is of the form E = Eosin(wt + a). Find tan(a). %3D tan(a) =[ c) Consider tan(a) =-1.353. Deduce a. rad

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Problem 3!
This problem is composed into two independent parts.
Part 1].
For parts a), b) and c) of the below question, fill in the empty boxes with your answer (YOUR ANSWER MUST BE ONLY A NUMBER; DO NOT WRITE UNITS; DO NOT WRITE
LETTERS).
Two parallel waves travelling together are represented
the following functions:
E, = E01 sin(wt + a1) and E2 = E2sin(wt + az).
with:
• Eo1 = 33 V/m,
• E2 = 79 V /m,
w = 277 rad/s,
• az =0.2723 rad ,
• az = 1.402 rad.
a)I.
Find the resultant amplitude Eo for the superposition of the two waves.
Eo =|
V/m
b) I
The expression of the resultant wave for the superposition of E1 and E2 is of the form E = E,sin(wt +a). Find tan(a).
tan(a) =
c)
Consider tan(a) = -1.353. Deduce a.
a =
rad
Part 21
Figures a and b below show the superposition of :
the waves E, and E2, both propagating along the x-direction.
the waves E3 and E4, both propagating along the x-direction.
Type here to search
Transcribed Image Text:Problem 3! This problem is composed into two independent parts. Part 1]. For parts a), b) and c) of the below question, fill in the empty boxes with your answer (YOUR ANSWER MUST BE ONLY A NUMBER; DO NOT WRITE UNITS; DO NOT WRITE LETTERS). Two parallel waves travelling together are represented the following functions: E, = E01 sin(wt + a1) and E2 = E2sin(wt + az). with: • Eo1 = 33 V/m, • E2 = 79 V /m, w = 277 rad/s, • az =0.2723 rad , • az = 1.402 rad. a)I. Find the resultant amplitude Eo for the superposition of the two waves. Eo =| V/m b) I The expression of the resultant wave for the superposition of E1 and E2 is of the form E = E,sin(wt +a). Find tan(a). tan(a) = c) Consider tan(a) = -1.353. Deduce a. a = rad Part 21 Figures a and b below show the superposition of : the waves E, and E2, both propagating along the x-direction. the waves E3 and E4, both propagating along the x-direction. Type here to search
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