In an electromagnetic wave in free space the root mean square value of the electric field is . The peak value of the magnetic field is [2017]

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.
In an electromagnetic wave in free space the root mean square value of the electric field is $E_{rms} = 6$ $V$ $m^{- 1}$ . The peak value of the magnetic field is [2017]

1 $2.83 \times 10^{- 8} T$

2 $0.70 \times 10^{- 8} T$

3 $4.23 \times 10^{- 8} T$

4 $1.41 \times 10^{- 8} T$

Ans.
(1)

Given, $E_{rms} = 6$ $V$ $m^{- 1}$

$\frac{E_{rms}}{B_{rms}} = c or B_{rms} = \frac{E_{rms}}{c} \Rightarrow B_{rms} = \frac{6}{3 \times 10^{8}} = 2 \times 10^{- 8} T$

Since, $B_{rms} = \frac{B_{0}}{\sqrt{2}}$

where $B_{0}$ is the peak value of magnetic field.

$∴$ $B_{0} = B_{rms} \sqrt{2} = 2 \times 10^{- 8} \times \sqrt{2} T$

$B_{0} \approx 2.83 \times 10^{- 8} T$

Solution

Q.
In an electromagnetic wave in free space the root mean square value of the electric field is $E_{rms} = 6$ $V$ $m^{- 1}$ . The peak value of the magnetic field is [2017]

1 $2.83 \times 10^{- 8} T$

2 $0.70 \times 10^{- 8} T$

3 $4.23 \times 10^{- 8} T$

4 $1.41 \times 10^{- 8} T$

Want Us to Email you About Special Offers & Updates?

Solution

Q. In an electromagnetic wave in free space the root mean square value of the electric field is Erms=6Vm-1. The peak value of the magnetic field is [2017]

1 2.83×10-8T

2 0.70×10-8T

3 4.23×10-8T

4 1.41×10-8T

Ans. (1) Given, Erms=6Vm-1 ErmsBrms=c or Brms=Ermsc⇒Brms=63×108=2×10-8T Since, Brms=B02 where B0 is the peak value of magnetic field. ∴ B0=Brms2=2×10-8×2T B0≈2.83×10-8T

Want Us to Email you About Special Offers & Updates?

Q.
In an electromagnetic wave in free space the root mean square value of the electric field is $E_{rms} = 6$ $V$ $m^{- 1}$ . The peak value of the magnetic field is [2017]

1 $2.83 \times 10^{- 8} T$

2 $0.70 \times 10^{- 8} T$

3 $4.23 \times 10^{- 8} T$

4 $1.41 \times 10^{- 8} T$