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Gauss's law for electromagnetism says surface∫E x dA = qenclosed/∈0 . If the electric field is given to be E = Ar (where r is a vector), what is the surface integral of E over the whole closed surface of the cube that spans the region from the origin to (x, y, z) = (a, a, a)?
(a) What is the charge enclosed in the cube?
(b) Compute the volume integral, ∫Δ x Ed3r inside the same cube, where the delta is equal to the DEL operator.
A conductive loop of radius r = 1.0 cm falls towards a stationary solenoid of 100 turns per cm carrying a current of I = 2.00 A. What is the direction of the current induced in the loop
Suppose that each of a person's hands makes contact with a different conductor over a surface area of 11.0 cm2. Find the resistivity of the skin
a battleship simultaneously fires two shells toward two identical enemy ships. one shell hits ship a which is close by
Identify the magnitude and direction of the electric field at a point midway between a -8.0 uC and a +5.8 uC charge 8.0 cm away. Assume no other charges are nearby.
A thermos contains 125 cm3 of coffee at 85° C. To cool the coffee, you drop two 13-g ice cubes into the thermos. The ice cubes are at first at 0° C and melt completely. What is the final temperature of the coffee? Treat the coffee as if it were wa..
A 10 ohm resistor, a 12.0 microfarad capacitor, and a 17.0 mH inductor are connected in series with a 155 V generator. =At what frequency is the current a maximum
A certain cavity has a temperature of 1150 K. (a) At what wavelength will the intensity of the radiation inside the cavity have its maximum value? [Do NOT need the answer to part (a); it is 2.52 mu m] (b) As a fraction of the maximum intensity, what ..
one end of a unifrom meter stick of mass 0.25kg is placed against a vertical wall. The other end is held by a lightweight cord making an angle ? =20 degree with the stick, find the frictional force between the stick and the wall
Close a door by pushing on the doorknob. Close the door again using approximately the same force but applying it 5 centimeters away from the hinges. Try again by applying the force on the edge of the door in a direction pointing toward the hinges. Su..
A track is mounted on a large wheel that is free to turn with negligible friction about a vertical axis. What is the angular speed of the wheel
What is the photoelectric effect? How can the photo electric effect be described in classical terms (if it can)? How can it be explained in quantum mechanical terms? What is blackbody radiation? How does classical theory describe blackbody radiation?..
A train is moving parallel and adjacent to a highway with a constant speed of 23 m/s. What is the speed of the car just as it passes the train
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