Ca) Bx = ( i nT v) sin[(i 169 1100000 i 530 1/s b) Number i 571 Units mw c) Number i 190 Units mW (d) Number i Units mW/m^2 342 v e)

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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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PLEASE ANSWER THE MISSING PROBLEMS AND GIVE THE ANSWER AS SHOWN IN THE SECOND IMAGE IF POSSIBLE, AGAIN, IF POSSIBLE.

The electric component of a beam of polarized light is given by:

\[ E_y = (5.08 \, \text{V/m}) \sin\{[1.10 \times 10^6 \, \text{m}^{-1}]z + \omega t\}. \]

Questions:

(a) Write an expression for the magnetic field component of the wave, including a value for \(\omega\).

Expression:

\[ B_x = ( \underline{\ \ 169\ \  } \, \text{nT}) \sin\{ \underline{\ \ 1100000\ \  } \times 10^6 \, \text{m}^{-1} \, z + (\underline{\ \ 530\ \  } \, \text{1/s}) t\}. \]

(b) Compute the wavelength of the wave.
- Your result should include the units in the box provided. (Units: mW)

(c) Compute the period of the wave.
- Your result should include the units in the box provided. (Units: mW)

(d) Compute the intensity of this light.
- Your result should include the units in the box provided. (Units: mW/m^2)

(e) Determine the axis along which the magnetic field oscillates.
- Options given: x

(f) Identify the region of the electromagnetic spectrum for this wave.
- Options given: infrared

Note: The fields (b), (c), and (d) require the appropriate numerical inputs along with selection of units from dropdowns, specifically milliwatts (mW) and milliwatts per square meter (mW/m²).
Transcribed Image Text:The electric component of a beam of polarized light is given by: \[ E_y = (5.08 \, \text{V/m}) \sin\{[1.10 \times 10^6 \, \text{m}^{-1}]z + \omega t\}. \] Questions: (a) Write an expression for the magnetic field component of the wave, including a value for \(\omega\). Expression: \[ B_x = ( \underline{\ \ 169\ \ } \, \text{nT}) \sin\{ \underline{\ \ 1100000\ \ } \times 10^6 \, \text{m}^{-1} \, z + (\underline{\ \ 530\ \ } \, \text{1/s}) t\}. \] (b) Compute the wavelength of the wave. - Your result should include the units in the box provided. (Units: mW) (c) Compute the period of the wave. - Your result should include the units in the box provided. (Units: mW) (d) Compute the intensity of this light. - Your result should include the units in the box provided. (Units: mW/m^2) (e) Determine the axis along which the magnetic field oscillates. - Options given: x (f) Identify the region of the electromagnetic spectrum for this wave. - Options given: infrared Note: The fields (b), (c), and (d) require the appropriate numerical inputs along with selection of units from dropdowns, specifically milliwatts (mW) and milliwatts per square meter (mW/m²).
The image contains a physics problem about the electric component of a beam of polarized light with the equation:

\[ E_y = (5.08 \, \text{V/m}) \sin([1.10 \times 10^6 \, \text{m}^{-1}] z + \omega t) \]

The goal is to find details about the magnetic field component. Users are tasked with finding values for:

- **(b) Wavelength,** 
- **(c) Period,** 
- **(d) Amplitude of the magnetic field,** 
- **(e) Oscillation direction (x-axis or y-axis),** 
- **(f) Electromagnetic spectrum region.**

A pop-up note indicates: "The number of significant digits is set to 3. The tolerance is ± 1 in the 3rd significant digit."

Below the problem statement, input fields are provided for the following:

- **(a) Bx =** with boxes for a numeral input (530 entered) and units nT (nanotesla). An incorrect input is flagged with an exclamation mark.
- **(b) Number** with user entry of 571 and "Units" dropdown showing mW (milliwatts).
- **(c) Number** with value 190 and units set to mW, also flagged as incorrect.
- **(d) Number** with entry 342 and units mW/m².
- **(e)** Dropdown option selected as "x," potentially referring to axis direction.
- **(f)** Dropdown option selected as "infrared" for the electromagnetic spectrum region.

Each section includes interactive elements with "i" icons for information and colored boxes indicating completion status.
Transcribed Image Text:The image contains a physics problem about the electric component of a beam of polarized light with the equation: \[ E_y = (5.08 \, \text{V/m}) \sin([1.10 \times 10^6 \, \text{m}^{-1}] z + \omega t) \] The goal is to find details about the magnetic field component. Users are tasked with finding values for: - **(b) Wavelength,** - **(c) Period,** - **(d) Amplitude of the magnetic field,** - **(e) Oscillation direction (x-axis or y-axis),** - **(f) Electromagnetic spectrum region.** A pop-up note indicates: "The number of significant digits is set to 3. The tolerance is ± 1 in the 3rd significant digit." Below the problem statement, input fields are provided for the following: - **(a) Bx =** with boxes for a numeral input (530 entered) and units nT (nanotesla). An incorrect input is flagged with an exclamation mark. - **(b) Number** with user entry of 571 and "Units" dropdown showing mW (milliwatts). - **(c) Number** with value 190 and units set to mW, also flagged as incorrect. - **(d) Number** with entry 342 and units mW/m². - **(e)** Dropdown option selected as "x," potentially referring to axis direction. - **(f)** Dropdown option selected as "infrared" for the electromagnetic spectrum region. Each section includes interactive elements with "i" icons for information and colored boxes indicating completion status.
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