A metal sample carrying a current along $X-$ axis with density $J_x$ is subjected to a magnetic field $B_z$ ( along $z-$ axis ). The electric field $E_y$ developed along $Y-$ axis is directly proportional io $J_x$ as well as $B_z$ . The constant of proportionality has $SI\, unit$.
A metal sample carrying a current along $X-$ axis with density $J_x$ is subjected to a magnetic field $B_z$ ( along $z-$ axis ). The electric field $E_y$ developed along $Y-$ axis is directly proportional io $J_x$ as well as $B_z$ . The constant of proportionality has $SI\, unit$.
- [JEE MAIN 2013]
- A
$\frac{{{m^2}}}{A}$
- B
$\frac{{{m^3}}}{As}$
- C
$\frac{{{m^2}}}{As}$
- D
$\frac{{As}}{{{m^3}}}$
Similar Questions
Identify the correct statements from the following descriptions of various properties of electromagnetic waves.
$A$. In a plane electromagnetic wave electric field and magnetic field must be perpendicular to each other and direction of propagation of wave should be along electric field or magnetic field.
$B.$ The energy in electromagnetic wave is divided equally between electric and magnetic fields.
$C.$ Both electric field and magnetic field are parallel to each other and perpendicular to the direction of propagation of wave.
$D.$ The electric field, magnetic field and direction of propagation of wave must be perpendicular to each other.
$E.$ The ratio of amplitude of magnetic field to the amplitude of electric field is equal to speed of light.
Choose the most appropriate answer from the options given below:
Identify the correct statements from the following descriptions of various properties of electromagnetic waves.
$A$. In a plane electromagnetic wave electric field and magnetic field must be perpendicular to each other and direction of propagation of wave should be along electric field or magnetic field.
$B.$ The energy in electromagnetic wave is divided equally between electric and magnetic fields.
$C.$ Both electric field and magnetic field are parallel to each other and perpendicular to the direction of propagation of wave.
$D.$ The electric field, magnetic field and direction of propagation of wave must be perpendicular to each other.
$E.$ The ratio of amplitude of magnetic field to the amplitude of electric field is equal to speed of light.
Choose the most appropriate answer from the options given below:
- [JEE MAIN 2022]
A plane electromagnetic wave of frequency $500\, MHz$ is travelling in vacuum along $y-$direction. At a particular point in space and
time, $\overrightarrow{ B }=8.0 \times 10^{-8} \hat{ z } \;T$. The value of electric field at this point is
(speed of light $\left.=3 \times 10^{8}\, ms ^{-1}\right)$
$\hat{ x }, \hat{ y }, \hat{ z }$ are unit vectors along $x , y$ and $z$ direction.
A plane electromagnetic wave of frequency $500\, MHz$ is travelling in vacuum along $y-$direction. At a particular point in space and
time, $\overrightarrow{ B }=8.0 \times 10^{-8} \hat{ z } \;T$. The value of electric field at this point is
(speed of light $\left.=3 \times 10^{8}\, ms ^{-1}\right)$
$\hat{ x }, \hat{ y }, \hat{ z }$ are unit vectors along $x , y$ and $z$ direction.
- [JEE MAIN 2021]
If $E$ and $B$ denote electric and magnetic fields respectively, which of the following is dimensionless
If $E$ and $B$ denote electric and magnetic fields respectively, which of the following is dimensionless
What is force exerted on surface having area of $10\, cm^2$ due to radiation of Sun ?
What is force exerted on surface having area of $10\, cm^2$ due to radiation of Sun ?
A plane electromagnetic wave propagating in the direction of the unit vector $\hat{ n }$ with a speed $c$ is described by electric and magnetic field vectors $E$ and $B$, respectively. Which of the following relations (in $SI$ units) between $E$ and $B$ can be ruled out on dimensional grounds alone?
A plane electromagnetic wave propagating in the direction of the unit vector $\hat{ n }$ with a speed $c$ is described by electric and magnetic field vectors $E$ and $B$, respectively. Which of the following relations (in $SI$ units) between $E$ and $B$ can be ruled out on dimensional grounds alone?
- [KVPY 2009]