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Starting with the definition 1 in. = 2.54 cm, find the number of (a) kilometers in 1.00 mile and (b) feet in 1.00 km.

Starting with the definition 1 in. = 2.54 cm, find the number of (a) kilometers in 1.00 mile and (b) feet in 1.00 km.

University Physics with Modern Physics

Units, Physical Quantities, and Vectors

Standards and Units

The voltage on a charged capacitor is monitored with a voltmeter whose resistance is $1.00 \mathrm{M} \Omega .$ The table below gives the meter reading as a function of time. Determine a function of the voltage which, when you plot it against time, should give a straight line. Make your plot, establish a best-fit line, and use it to determine the capacitance.$$\begin{array}{|l|c|c|c|c|c|}\hline \text { Time (s) } & 0 & 1 & 2 & 3 & 4 \\\hline \text { Voltage (V) } & 15.0 & 10.3 & 6.36 & 3.78 & 2.43 \\\hline\end{array}$$

Essential University Physics

Questions asked

ANSWERED

Timothy James verified

Numerade educator

Maintaining strong amplitude modulation (AM) radio reception when driving under overpasses or through tunnels is often difficult. Frequency modulation (FM) radio frequencies typically are not as affected as AM radio frequencies. (a) Given the frequency range of 550 – 1650 kHz for AM radio and that of 88 – 108 MHz for FM radio, what is the range of wavelengths for both AM and FM bands? The light speed is 3×108 m/s. [8 marks] (b) In terms of the wave diffraction, explain why AM radio waves are more difficult to pass under overpasses and through tunnels than FM radio waves.

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ANSWERED

Timothy James verified

Numerade educator

A long straight cylindrical wire of radius R is carrying a current density J which is proportional to the square of the distance r from the central axis, i.e. J = kr2 (0 r R), where k is a constant. The total current on the wire is I, as shown in Figure 3. (a) Express the total current I in terms of k and R. [6 marks] (b) Calculate the magnetic field outside the wire (r R). [6 marks] (c) Calculate the magnetic field inside the wire (0 r R)

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ANSWERED

Timothy James verified

Numerade educator

A long straight cylindrical wire of radius R is carrying a current density J which is proportional to the square of the distance r from the central axis, i.e. J = kr2 (0 r R), where k is a constant. The total current on the wire is I, as shown in Figure 3. (a) Express the total current I in terms of k and R. (b) Calculate the magnetic field outside the wire (r R). (c) Calculate the magnetic field inside the wire (0 r R)

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INSTANT ANSWER

A soap film of refractive index n = 1.33 is 320 nm thick. It is suspended in air horizontally and is illuminated with white light from above at normal incidence. (a) At what wavelength is the light reflected by the film brightest to an observer who is looking at the film from above? (b) Why in reality a soap bubble or an oil slick normally appears to have different colours like a rainbow? (c) How would your answer in part (a) change if the bottom side of the soap film is suspended on a slab of glass (n = 1.52)

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