The electric field of an electromagnetic wave in free space is given by E = 10 (107t + kx ) j V/m, where t and x are in seconds and metres respectively. It can be inferred that Which one of the following pairs of statements is correct ?
- C and D only
- A and B only
- B and C only
- A and C only
Answer
(4) A and C only
Solution
Comparing with E = E0 ( t + kx): E0 = 10 V/m, = 107 rad/s
In free space: k = c = 1073 108 = 0.033 rad/m B is incorrect.
= 2 k = 2 30 = 188.4 m A is correct.
Amplitude = 10 V/m C is correct.
The phase ( t + kx) has the same sign for t and x the wave moves along -x direction; D is incorrect.
A and C are correct.
Answer: (4)