An electromagnetic wave in terms of oscillation of magnetic field is given as B → = B 0 sin ω t - k y k ^ . T. The corresponding electric field oscillation is given by

E → = B 0 c sin ω t - k y - i ^ N C

E → = B 0 c sin ω t - k y j ^ N C

E → = B 0 c sin ω t - k y i ^ N C

E → = B 0 c sin ω t - k x k ^ N C

An electromagnetic wave in terms of oscillation of magnetic field is given as B → = B 0 sin ω t - k y k ^ . T. The corresponding electric field oscillation is given by

E → = B 0 c sin ω t - k y - i ^ N C

If dimensions of ε 0 d ϕ E d t is M a L b T c A d , then value of ( a + b + c + d ) is _____ .

We know that ϕ = E → · A → The dimensional formula of area is M 0 L 2 T 0 . Since E l e c t r i c f i e l d = F o r c e c h a r g e Dimensional formula for electric field will be M 1 L 1 T - 2 × I 1 T 1 - 1 = M 1 L 1 T - 3 I - 1 So the dimensional formula for flux will be M 1 L 1 T - 3 I - 1 × M 0 L 2 T 0 = M 1 L 3 T - 3 I - 1 The dimensional formula for ε 0 will be M - 1 L - 3 T 4 I 2 . So the dimensional formula for ε 0 d ϕ E d t will be M 1 L 3 T - 3 I - 1 × M - 1 L - 3 T 4 I 2 × T - 1 = M 0 L 0 T 0 I 1 Given that M 0 L 0 T 0 I 1 = M a L b T c I d So a + b + c + d = 1

The electric field of a plane electromagnetic wave is given by E = E 0 sin ( k z - ω t ) [ i ^ + j ^ ] . If direction of the associated magnetic field is a i ^ + b j ^ , then value of ( a + b ) is _____ .

Given that the electric field of a plane electromagnetic wave is given by E = E 0 sin ( k z - ω t ) [ i ^ + j ^ ] Given that the direction of the associated magnetic field is a i ^ + b j ^ . We know that the electric and magnetic fields propagate in perpendicular directions to each other. So we can say that, E → · B → = 0 ⇒ E 0 sin ( k z - ω t ) [ i ^ + j ^ ] · a i ^ + b j ^ = 0 ⇒ E 0 sin ( k z - ω t ) × a + E 0 sin ( k z - ω t ) × b = 0 ⇒ E 0 sin ( k z - ω t ) a + b = 0 ⇒ a + b = 0 So the value of a + b = 0 .

E M B I B E

Gamma Question Bank for Engineering Physics>Chapter 22 - Electromagnetic Waves>Assignment Set-2>Q 35

EASY

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IMPORTANT

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An electromagnetic wave in terms of oscillation of magnetic field is given as $\vec{B} = B_{0} \sin (ω t - k y) \hat{k}$ . T. The corresponding electric field oscillation is given by

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Important Questions on Electromagnetic Waves

EASY

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Physics>Chapter 22 - Electromagnetic Waves>Assignment Set-2>Q 36

If dimensions of

ε_{0} (\frac{d ϕ_{E}}{d t})

is

[M^{a} L^{b} T^{c} A^{d}]

, then value of

(a + b + c + d)

is _____ .

EASY

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Physics>Chapter 22 - Electromagnetic Waves>Assignment Set-2>Q 38

The electric field of a plane electromagnetic wave is given by

E = E_{0} \sin (k z - ω t) [\hat{i} + \hat{j}]

. If direction of the associated magnetic field is

a \hat{i} + b \hat{j}

, then value of

(a + b)

is _____ .

EASY

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Physics>Chapter 22 - Electromagnetic Waves>Assignment Set-2>Q 39

In EM waves, the phase difference between electric field and magnetic field vectors is _____ .

EASY

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Physics>Chapter 22 - Electromagnetic Waves>Assignment Set-2>Q 41

The electric field between the plates of a parallel plate capacitor having plate area $4 {cm}^{2}$ is changing at the rate of $3 \times 10^{12} N C^{- 1} s^{- 1}$ . The displacement current is _____ $mA$ .