The electric field of an electromagnetic wave in free space is represented as . The corresponding magnetic induction vector will be :

STUDY MATERIALS
COURSES
MORE
SUCCESS STORY
ADMISSION
STORE

Back

JEE ADVANCE

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

JEE MAIN

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

NEET

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

BITSAT

CLASS XI - XII

CLASS XI - XII

CBSE BOARD

CLASS IX

CLASS X

CLASS XI

CLASS XII

CLASS VI

CLASS VII

CLASS VIII

UP BOARD

CLASS IX
CLASS X
CLASS XI
CLASS XII

CLASS IX

CLASS X

CLASS XI

CLASS XII

CUET

CRASH COURSE

CRASH COURSE

Courses

CLASSROOM COURSES
ONLINE COURSES

ONLINE COURSES

Q.
The electric field of an electromagnetic wave in free space is represented as $\vec{E} = E_{0} \cos (ω t - k z) \hat{i}$ .

The corresponding magnetic induction vector will be : [2024]

1 $\vec{B} = E_{0} c \cos (ω t - k z) \hat{j}$

2 $\vec{B} = \frac{E_{0}}{c} \cos (ω t - k z) \hat{j}$

3 $\vec{B} = E_{0} c \cos (ω t + k z) \hat{j}$

4 $\vec{B} = \frac{E_{0}}{c} \cos (ω t + k z) \hat{j}$

Ans.
(2)

Given $\vec{E} = E_{0} \cos (ω t - k z) \hat{i}$

$E_{0} = B_{0} c, \Rightarrow (B_{0} = \frac{E_{0}}{c})$

Also $\vec{E}$ and $\vec{B}$ are in same phase.

Solution

Q.
The electric field of an electromagnetic wave in free space is represented as $\vec{E} = E_{0} \cos (ω t - k z) \hat{i}$ .

The corresponding magnetic induction vector will be : [2024]

1 $\vec{B} = E_{0} c \cos (ω t - k z) \hat{j}$

2 $\vec{B} = \frac{E_{0}}{c} \cos (ω t - k z) \hat{j}$

3 $\vec{B} = E_{0} c \cos (ω t + k z) \hat{j}$

4 $\vec{B} = \frac{E_{0}}{c} \cos (ω t + k z) \hat{j}$

Ans.
(2)

Given $\vec{E} = E_{0} \cos (ω t - k z) \hat{i}$

$E_{0} = B_{0} c, \Rightarrow (B_{0} = \frac{E_{0}}{c})$

Also $\vec{E}$ and $\vec{B}$ are in same phase.

Want Us to Email you About Special Offers & Updates?

Solution

Q. The electric field of an electromagnetic wave in free space is represented as E→=E0cos(ωt-kz)i^. The corresponding magnetic induction vector will be : [2024]

1 B→=E0ccos(ωt-kz)j^

2 B→=E0ccos(ωt-kz)j^

3 B→=E0ccos(ωt+kz)j^

4 B→=E0ccos(ωt+kz)j^

Ans. (2) Given E→=E0cos(ωt-kz)i^ E0=B0c,⇒(B0=E0c) Also E→ and B→ are in same phase.

Want Us to Email you About Special Offers & Updates?

Q.
The electric field of an electromagnetic wave in free space is represented as $\vec{E} = E_{0} \cos (ω t - k z) \hat{i}$ .

The corresponding magnetic induction vector will be : [2024]

1 $\vec{B} = E_{0} c \cos (ω t - k z) \hat{j}$

2 $\vec{B} = \frac{E_{0}}{c} \cos (ω t - k z) \hat{j}$

3 $\vec{B} = E_{0} c \cos (ω t + k z) \hat{j}$

4 $\vec{B} = \frac{E_{0}}{c} \cos (ω t + k z) \hat{j}$

Ans.
(2)

Given $\vec{E} = E_{0} \cos (ω t - k z) \hat{i}$

$E_{0} = B_{0} c, \Rightarrow (B_{0} = \frac{E_{0}}{c})$

Also $\vec{E}$ and $\vec{B}$ are in same phase.