The magnetic field in a plane EM wave is given by B y -2 - 10-7sin0-5 - 103 x -1-5 - 1011 t T- What is the expression for the electric field -A- E x -2 - 10-7sin0-5 - 103 x -1-5 - 1011 t V - mB- E y -2 - 10-7sin0-5 - 103 x -1-5 - 1011 t V - mC- E z -60 sin0-5 - 103 x -1-5 - 1011 t V - mD- E x -60 sin0-5 - 103 x -1-5 - 1011 t V - m

The correct option is C E_z = 60 sin(0.5 × 10^3x + 1.5 × 10^11t) V/m E_0 = B_0c=2 × 10^ 7× 3 × 10^8 =60 V/m E is ⊥ to propagation of wave (x axis) and ⊥ to B̅ ...

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Standard XII

Physics

Intro to Standing Waves

The magnetic ...

Question

The magnetic field in a plane EM wave is given by $B_{y} = 2 \times 10^{- 7} s i n (0.5 \times 10^{3} x + 1.5 \times 10^{11} t) T$ . What is the expression for the electric field ?

$E_{x} = 2 \times 10^{- 7} s i n (0.5 \times 10^{3} x + 1.5 \times 10^{11} t) V / m$

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$E_{y} = 2 \times 10^{- 7} s i n (0.5 \times 10^{3} x + 1.5 \times 10^{11} t) V / m$

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$E_{z} = 60 s i n (0.5 \times 10^{3} x + 1.5 \times 10^{11} t) V / m$

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$E_{x} = 60 s i n (0.5 \times 10^{3} x + 1.5 \times 10^{11} t) V / m$

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Solution

The correct option is C
$E_{z} = 60 s i n (0.5 \times 10^{3} x + 1.5 \times 10^{11} t) V / m$

$E_{0} = B_{0} c = 2 \times 10^{- 7} \times 3 \times 10^{8} = 60 V / m$
E is $⊥$ to propagation of wave (x-axis) and $⊥$ to $¯ B$ (y-axis)
$∴ E z = 60 s i n (0.5 \times 103 x + 1.5 \times 1011 t) V / m$

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Similar questions

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The magnetic field in a plane EM wave is given by By=2×10−7 sin(0.5×103x+1.5×1011t)T. What is the expression for the electric field ?

The correct option is C Ez=60 sin(0.5×103x+1.5×1011t)V/m E0=B0c=2×10−7×3×108=60 V/m E is ⊥ to propagation of wave (x-axis) and ⊥ to ¯B (y-axis) ∴Ez=60 sin(0.5×103x+1.5×1011t)V/m

The magnetic field in a plane EM wave is given by $B_{y} = 2 \times 10^{- 7} s i n (0.5 \times 10^{3} x + 1.5 \times 10^{11} t) T$ . What is the expression for the electric field ?