Foundations
The Flux Capacitor
May the Force Be With You
EM Waves
E = mc^2
100
3x^2 is the integral of this
What is 6x?
100
For parallel plate capacitors, the capacitance is inversely proportional to this.
What is the plate separation distance?
100
To bring balance to the force (a charge in equilibrium), a positive charge of 1 C is placed 2/3 the distance of separation between two positive charges. The ratio of the two unknown positive charges must be this.
What is 1/4?
100
An EM Wave will propagate in this direction if the B-field is oscillating in the x-direction and the E-field is oscillating in the y-direction.
What is the negative z direction?
100
A meter stick must be moving at this speed if it's length is contracted by 1/2 in an observer's rest frame.
What is sqrt{3}*c/2?
200
This is the angle between vectors A and B if A*B = -|A||B|, where * is the dot product.
What is 180 degrees or Pi Radians?
200
According to this Law, the flux of the Electric field is proportional to the charge enclosed.
What is Gauss's Law?
200
The Electric Field oscillating in a light saber has an amplitude of 500 V/m in the i-hat direction. When striking it's target, the light saber would accelerate the electrons of all encountered molecules by this amount [mass of electron ~ 10^(-31)kg ; charge of an electron ~ 10 ^ (-19) C].
What is 5*10^14 m/s^2?
200
The ratio n1/n2 of the refractive indices between two media is this if incident light at 45 degrees from the normal of medium n1 bends to 0 degrees from the normal when refracted to medium with n2.
What is zero?
200
If Bob stays on Earth and Joe travels in a spaceship cruising at 3/5*c, Bob has aged by this amount if Joe ages by 2 years.
What is 2 1/2 years?
300
Cos[x]/Sin[x] is the derivative of this
What is Ln|Sin[x]|?
300
One of Maxwell's equations states that the flux of the magnetic field is equal to this.
What is zero.
300
If "the Force" used by Jedi knights is the magnetic force, Luke Skywalker would generate a magnetic field in this direction if he wanted to levitate a ship in the k-hat direction whose current is flowing in the negative j-hat direction.
What is the i-hat direction?
300
This path difference between two EM Waves generates a fourth dark spot from the central axis in a Young's Double slit apparatus.
What is 7/2*lambda?
300
If an electron is moving at 3c/5 down a meter stick, the distance the electron must traverse in it's own frame of reference is this.
What is 5/4 m?
400
If a vector field is flowing radially outward about the z axis from z = negative infinity to infinity, this Gaussian surface would be the most reasonable choice in simplifying the calculation of the divergence of the vector field (flux calculation).
What is a cylinder?
400
Maxwell showed that changing the flux of the electric field across a Capacitor produces this.
What is a magnetic field.
400
Darth Sidious has the ability to generate electrical sparks from his finger tips. If he wants to electrocute someone located 10m away and the electric field strength required to breakdown air is 3*10^6 V/m, he must generate this voltage to destroy his opponent.
What is 3*10^7 V?
400
An anti-reflective coating with thickness 0.5mm a thin sheet of glass will primarily block out this wavelength if the ratio of n_coating/n_glass is 2.5 and n_coating/n_air is 3.75.
What is 3.75mm?
400
An electron is moving at 0.5c with respect to a reference frame at rest [the lab frame]. After 5 seconds elapse in the lab frame, how far has the electron traveled in the lab frame.
What is 7.5*10^8 m?
500
For small values of x, the Taylor series expansion of tan[x] looks identically to this.
What is Sin[x]?
500
Suppose a capacitor of 1F is holding a voltage of 10,000*Sqrt[10] V. In 0.413s, the capacitor discharges all of its charge. This amount of power is dissipated by the capacitor.
What is 1.21 Jigawatts of Power?
500
Each Jedi has the ability to pick one force of nature to use at his/her disposal. A charged object is located between Darth Vader and Obi Wan Kenobi, who both use different forces. If Obi Wan hopes to fling the object at his opponent, he better hope to use this force.
What is the Electric Force?
500
In terms of lambda, L [distance from screen to slits] and d [slit separation], the central bright spot produced in a Young's double slit experiment would shift by this amount if a film of refractive index n and thickness t causes a dark spot at the center of the screen.
What is lambda*L/(2*d)?
500
A car moving at relativistic speeds approaches a garage. From the garage's perspective, the car's length is contracted and can easily fit inside the garage. But from the car's frame, the garage has length contracted and the car will not be able to fit. Special Relativity resolves this paradox by declaring the impossibility of this.
What are simultaneous events?
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