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Update app.py
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app.py
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@@ -2,33 +2,76 @@ import streamlit as st
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import numpy as np
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import plotly.graph_objs as go
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st.title(
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# Set
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#
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import numpy as np
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import plotly.graph_objs as go
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st.title('Electromagnetic Wave Simulation with Plotly')
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# Set the default wavelength and amplitude values
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wavelength_default = 1
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amplitude_default = 1
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# Create sliders for adjusting wavelength and amplitude
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wavelength = st.slider('Wavelength', min_value=0.1, max_value=10.0, value=wavelength_default, step=0.1)
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amplitude = st.slider('Amplitude', min_value=0.1, max_value=5.0, value=amplitude_default, step=0.1)
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# Define the wave function for the electric field
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def electric_field(x, t):
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return amplitude * np.sin(2*np.pi*x/wavelength - 2*np.pi*t)
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# Define the wave function for the magnetic field
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def magnetic_field(x, t):
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return amplitude * np.sin(2*np.pi*x/wavelength - 2*np.pi*t + np.pi/2)
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# Create a plotly figure for the electric field
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fig_electric = go.Figure()
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# Add a line for the electric field
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fig_electric.add_trace(
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go.Scatter(x=np.linspace(0, 1, 1000), y=electric_field(np.linspace(0, 1, 1000), 0),
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mode='lines', name='Electric Field')
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)
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# Create a plotly figure for the magnetic field
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fig_magnetic = go.Figure()
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# Add a line for the magnetic field
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fig_magnetic.add_trace(
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go.Scatter(x=np.linspace(0, 1, 1000), y=magnetic_field(np.linspace(0, 1, 1000), 0),
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mode='lines', name='Magnetic Field')
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)
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# Create a plotly figure for the wave
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fig_wave = go.Figure()
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# Add a line for the electric field
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fig_wave.add_trace(
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go.Scatter(x=np.linspace(0, 1, 1000), y=electric_field(np.linspace(0, 1, 1000), 0),
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mode='lines', name='Electric Field')
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)
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# Add a line for the magnetic field
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fig_wave.add_trace(
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go.Scatter(x=np.linspace(0, 1, 1000), y=magnetic_field(np.linspace(0, 1, 1000), 0),
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mode='lines', name='Magnetic Field')
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)
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# Set the title and axis labels for the wave figure
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fig_wave.update_layout(
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title='Electromagnetic Wave',
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xaxis_title='Position',
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yaxis_title='Field Strength'
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)
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# Add a slider for adjusting time
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t_slider = fig_wave.add_slider(
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dict(steps=[dict(method='animate', args=[None, {'frame': {'duration': 50, 'redraw': True}}])],
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transition={'duration': 0},
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x=0, y=0,
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len=1.0,
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currentvalue=dict(visible=True, xanchor='left'),
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font=dict(size=10, color='#666')
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),
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)
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# Define the animation frames
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frames = [go.Frame(data=[go.Scatter(x=np.linspace(0, 1, 1000), y=electric_field(np.linspace(0, 1, 1000), t),
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mode='lines', name='Electric Field'),
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go.Scatter(x=np.linspace(0, 1, 1000), y=magnetic_field(np.linspace(0, 1,
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