Considering our linearisation, define X (either directly or via lambdifying a symbolic expression) to contain the numerical values of the natural logarithm of the number of masses (1,2,3, and 4).

Then, print this numpy array and copy and paste the output of this print call directly into the input cell below without any changes. 

E.g. if you have used the variable name X as suggested for the ln(n), then add the line

print(X)

to your code and then copy from the terminal or console the output that this line generates and paste this into the text cell below without making any changes. 

A student in the class, new to using oscilloscopes, attempts to capture a trace for the oscillating magnet (with just the magnet attached) on the oscilloscope. Their apparatus is virtually identical to yours in all respects. Based on carefully looking at the trace the student produced below, has the student achieved their goal of capturing the spring oscillation on the oscilloscope?

Alice drops a magnet, which falls straight down without rotating through a narrow hoop.The magnet does not tumble, spin, or rotate, during its motion, so its poles are facing the same way throughout its motion.  Alice catches the magnet as it falls through the hoop. 

At what point in the magnet's motion, would you get the maximum magnitude of the change in magnetic field with respect to time as measured by the hoop?

Estimate the peak-to-peak voltage (in volts) of the AC signal on the oscilloscope screen shown below:

Do not include the units in your answer.

Estimate the peak-to-peak voltage (in volts) of the AC signal on the oscilloscope screen shown below:

Estimate the frequency (in Hz) of the AC signal on the oscilloscope screen shown below:

Do not include the units in your answer.

Estimate the peak-to-peak voltage (in volts) of the AC signal on the oscilloscope screen shown below:

Do not include the units in your answer.

Consider a 'power-law relationship' where the power-law index, r, and the constant of proportionality, c, are both unknown.

If you had collected data relating x and y (and you expect it to follow the relationship above), then which of the following would be a way to linearise that data such that you could make a graph where r should be the gradient?

There may be more than 1 correct answer. If so, you will be awarded full marks for any correct answer.

(In each of the following options, the vertical axis is listed first.)

Helmholtz coils are a pair of coils, each having radius R and n turns, and carrying a current I, placed a distance R apart, with their poles aligned. 

The reason for this precise construction is it allows the magnetic field at the on axis point directly between the coils to be computed according to

.

Suppose n=50 and R=0.05m.

What current do you need to generate a field equal to that of the Earth's magnetic field (~40 microteslas)

Suppose a compass needle is pointing initially to the magnetic north pole of the Earth, and a current carrying loop is then brought closer to the compass from the right, such that its north pole is facing towards the compass, what happens?