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JEE PYQ: Electromagnetic Waves Question 21

Question 21 - 2020 (07 Jan 2020 Shift 1)

If the magnetic field in a plane electromagnetic wave is given by $\vec{B} = 3 \times 10^{-8} \sin(1.6 \times 10^{3}x + 48 \times 10^{10}t) \hat{j}$ T, then what will be expression for electric field?

(1) $\vec{E} = (60 \sin(1.6 \times 10^{3}x + 48 \times 10^{10}t) \hat{k})$ V/m

(2) $\vec{E} = (9 \sin(1.6 \times 10^{3}x + 48 \times 10^{10}t) \hat{k})$ V/m

(3) $\vec{E} = (3 \times 10^{-8} \sin(1.6 \times 10^{3}x + 48 \times 10^{10}t) \hat{j})$ V/m

(4) $\vec{E} = (3 \times 10^{-8} \sin(1.6 \times 10^{3}x + 48 \times 10^{10}t) \hat{i})$ V/m

Show Answer

Answer: (2)

Solution

$E_0 = B_0 C = 3 \times 10^{-8} \times 3 \times 10^{8} = 9$ V/m. $\vec{E} = 9\sin(1.6 \times 10^{3}x + 48 \times 10^{10}t)\hat{k}$ V/m.


Learning Progress: Step 21 of 41 in this series