Respuesta :
A) Unfortunately, I can't help you physically plot the graph on paper, but you can use the provided voltage and time values to create a scatter plot. Time on the x-axis and voltage on the y-axis should help visualize the relationship.
B) To calculate the slope of the line from the graph, choose two points on the line and use the formula:
\[ \text{Slope} = \frac{\text{Change in Voltage}}{\text{Change in Time}} \]
C) After calculating the slope, divide it by the resistance of the primary solenoid to obtain the time constant (\( \tau \)):
\[ \tau = \frac{\text{Slope}}{\text{Resistance}} \]
Ensure you account for uncertainties in your calculations.
2) The EMF (\( \varepsilon \)) induced in the secondary solenoid can be determined using Faraday's law:
\[ \varepsilon = -N \frac{d\Phi}{dt} \]
Where \( N \) is the number of turns in the secondary solenoid, and \( \frac{d\Phi}{dt} \) is the rate of change of magnetic flux. The induced EMF is proportional to the rate of change of magnetic flux through the secondary solenoid.
Given the information in Problem 1, you can use the time constant (\( \tau \)) obtained in Part C to represent the time derivative. The uncertainty in \( \varepsilon \) will depend on the uncertainties in the values used in the calculation.
B) To calculate the slope of the line from the graph, choose two points on the line and use the formula:
\[ \text{Slope} = \frac{\text{Change in Voltage}}{\text{Change in Time}} \]
C) After calculating the slope, divide it by the resistance of the primary solenoid to obtain the time constant (\( \tau \)):
\[ \tau = \frac{\text{Slope}}{\text{Resistance}} \]
Ensure you account for uncertainties in your calculations.
2) The EMF (\( \varepsilon \)) induced in the secondary solenoid can be determined using Faraday's law:
\[ \varepsilon = -N \frac{d\Phi}{dt} \]
Where \( N \) is the number of turns in the secondary solenoid, and \( \frac{d\Phi}{dt} \) is the rate of change of magnetic flux. The induced EMF is proportional to the rate of change of magnetic flux through the secondary solenoid.
Given the information in Problem 1, you can use the time constant (\( \tau \)) obtained in Part C to represent the time derivative. The uncertainty in \( \varepsilon \) will depend on the uncertainties in the values used in the calculation.
