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Two circular coils of radius R, each carrying a current I in the same sense, are parallel with the xy-plane with their centers at (0, 0, ±d/2). On the z-axis the magnetic field is B' = B (z)z^. At z = 0, halfway between the coils, B/az = 0.
(i) Determine d such that ∂2B/∂z2 = 0 at z = 0 on the z-axis.
(ii) Show that for this configuration, the third derivative of the field with respect to z is also zero at z = 0.
(iii) Use a computer to plot the magnetic field B(z) as a function of position z along the axis.
Light of wavelength 502 nm falls on a diffraction grating whose spacing is 1560 nm. What is the largest order spectrum which can be observed
An electron that has velocity = (3.1 106 m/s) + (2.3 106 m/s) moves through a magnetic field = (0.03 T) - (0.15 T) . (a) Find the force on the electron. N (b) Repeat your calculation for a proton having the same velocity. N
An energy-efficient lightbulb, taking in 23.0 W of power, can produce the same level of brightness as a conventional lightbulb operating at power 100 W. The lifetime of the energy-efficient bulb is 10 000 h and its purchase price is $4.00, whereas..
A small glass bead has been charged to +30 nC. A tiny ball bearing 3.0 cm above the bead feels a 1.8 × 10?2 N downward electric force. What is the charge on the ball bearing
A man opens a door by applying a 14 Newton force perpendicular to it at a distance 0.90 meter from the hinges. Calculate what was the average power delivered
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a fighter jet is launched from an aircraft carrier with the aid of its own engines and a steam-powered catapult. the
The water level in a vertical glass tube 1.150 m long can be adjusted to any position in the tube. What is the greatest depth of water for which there will be resonance in the air in the tube
A converging lens with a focal length of 20 centimeter is used to produce an image on a screen that is 2 meter from the lens. Evaluate what is the object distance
A swimmer bounces straight up from a diving board and falls feet first into a pool. She starts with a velocity of 3.00 m/s, What is her highest point above the board
A capacitor of unknown capacitance C is charged to 100 V and then connected across an initially uncharged 60-μF capacitor. If the final potential difference across the 60-μF capacitor is 40 V, determine C.
At standard atmospheric pressure, the solid form of carbon dioxide called "dry ice" undergoes a phase change not to a liquid, how much of the water will turn to ice by the time all the dry ice has sublimated
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