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In some experiments, short distances are measured by using capacitance. Consider forming an LC circuit using a parallel plate capacitor with plate area A, and a known inductance L. (a) If charge is found to oscillate in this circuit at frequency f = ω/2π when the capacitor plates are separated by distance x, show that x = 4π^2*A*εo*f^2*L. (b) When the plate separation is changed by Δx, the circuit's oscillation frequency will change by Δf. Show that Δx/x ˜ 2(Δf/f). (c) If f is on the order of 1 MHz and can be measured to a precision of Δf= 1Hz, with that percent accuracy can x be determined? Assume fringing effects at the capacitor's edges can be neglected.
Calculate the expression for electric field around and infinite line of charge, which has a line charge density lambda (using Gauss?s Law, cylindrical Gaussian surface). Calculate the magnitude of electric field at a distance of 10 cm from line if th..
An object is placed 20.0 cm from a first converging lens of focal length 10.5 cm. Calculate the magnification of the first lens
Two pianos each sound the same note simultaneously, but they areboth out of tune. On a day when the speed of sound is 345 m/s,piano A produces a wavelength of 0.765 m, while piano B produces awavelength of 0.773 m. How much time separates successiveb..
A person with a black belt in karate has a fist that has a mass of 0.70 kg. What is the magnitude of the average net force
In the figure a small, nonconducting ball of mass m = 1.0 mg and charge q = 1.7 x 10-8 C, calculate the surface charge density of the sheet
A 12 g bullet is stopped in a block of wood (mw = 5.6 kg). What was the original speed of the bullet
A box of mass m, is released from rest and slides down a 3 m high frictionless chute. What is there common speed after the collision
In a 8.32 km race, one runner runs at a steady 12.11 km/h and another runs at 14.32 km/h. How long does the faster runner have to wait at the finish line to see the slower runner cross
Rachel is on the roof of a building, h meters above ground. She throws a heavy ball into the air with a speed v, at an angle ? with respect to the horizontal. Ignore air resistance.
Solve the Friedmann equation to get the scale factor as a function of time.
Two inductors L1 = 1.17 H and L2 = 2.13 H are connected in parallel and separated by a large distance so that the magnetic field of one cannot affect the other, Calculate the equivalent inductance.
there is a helmholtz coil that consists of two circular coaxial coils each of n281 turns and radius r21.2cm separated
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