The amplitude of magnetic field in an electromagnetic wave propagating along y-axis is 6.0 10^-7 T. The maximum value of electric field in the electromagnetic wave is:

Given: Amplitude of magnetic field is B0 = 6.0 10^-7 T. Find: Maximum value of electric field E0 in the electromagnetic wave. For an electromagnetic wave, E0 = cB0 where c = 3 10^8 m/s. Substituting the given value, E0 = (3 10^8)(6.0 10^-7) E0 = 18 10^1 = 180 Vm^-1 Therefore, the maximum value of the electric field is 180 Vm^-1. The listed solution says option B, but its own calculation gives 180 Vm^-1, which matches option D.

The amplitude of magnetic field in an electromagnetic wave propag… — Solution | JEE Physics

MCQEasyJEE 2023Characteristics of EM Waves

The amplitude of magnetic field in an electromagnetic wave propagating along $y$ -axis is $6.0 \times 10^{-7} \, T$ . The maximum value of electric field in the electromagnetic wave is:

A
$2 \times 10^{15} \, Vm^{-1}$
B
$2 \times 10^{14} \, Vm^{-1}$
C
$6.0 \times 10^{-7} \, Vm^{-1}$
D
$180 \, Vm^{-1}$

Answer

Correct answer:D

Step-by-step solution

Standard Method

Given: Amplitude of magnetic field is $B_0 = 6.0 \times 10^{-7} \, \text{T}$ .

Find: Maximum value of electric field $E_0$ in the electromagnetic wave.

For an electromagnetic wave,

E_0 = cB_0

where $c = 3 \times 10^8 \, \text{m/s}$ .

Substituting the given value,

E_0 = (3 \times 10^8)(6.0 \times 10^{-7})

E_0 = 18 \times 10^1 = 180 \, \text{Vm}^{-1}

Therefore, the maximum value of the electric field is $180 \, \text{Vm}^{-1}$ . The listed solution says option B, but its own calculation gives $180 \, \text{Vm}^{-1}$ , which matches option D.

Common mistakes

Using the inverse relation between $E_0$ and $B_0$ . This is wrong because in an electromagnetic wave the correct relation is $E_0 = cB_0$ , not $E_0 = \frac{B_0}{c}$ . Always multiply $B_0$ by the speed of light.
Making an error in powers of ten while evaluating $(3 \times 10^8)(6.0 \times 10^{-7})$ . This is wrong because $10^8 \times 10^{-7} = 10^1$ . Combine coefficients and exponents separately before simplifying.
Choosing the option from the solution without checking the working. This is wrong because the header says B but the calculation clearly gives $180 \, \text{Vm}^{-1}$ . Trust the worked result when there is a mismatch.

Practice more Characteristics of EM Waves questions

Get unlimited AI-adaptive practice, mastery tracking, and an AI tutor that explains every step — free to start.

Start free trial More on Characteristics of EM Waves

Answer

Step-by-step solution

Common mistakes

Practice more Characteristics of EM Waves questions

Related questions