An air-filled parallel-plate capacitor with plate separation d and plate area A is connected to a battery that applies a voltage $V_0$ between plates. With the battery left connected, the plates are moved apart to a distance of 10d. Determine by what factor each of the following quantities changes: $(a) V_{0} ;(b) C ;(c) E ;(d) D ;(e) Q ;(f) \rho_{S} ;(g) W_{E}.$

Fluid flows between two parallel plates, a distance h apart. The upper plate moves at velocity, v0; the lower plate is stationary. For what value of pressure gradient will the shear stress at the lower wall be zero?

Consider the base plate of an 800-W household iron with a thickness of L = 0.6 cm, base area of $A = 160 cm^2,$ and thermal conductivity of $k = 60 W/m \cdot K$ The inner surface of the base plate is subjected to uniform heat flux generated by the resistance heaters inside. When steady operating conditions are reached, the outer surface temperature of the plate is measured to be $112 ^\circ C.$ Disregarding any heat loss through the upper part of the iron, (a) express the differential equation and the boundary conditions for steady one-dimensional heat conduction through the plate, (b) obtain a relation for the Variation of temperature in the base plate by solving the differential equation, and (c) evaluate the inner surface temperature.

Mercury at $25^\circ C$ flows over a 3-m-long and 2-m wide flat plate maintained at $75^\circ C$ with a velocity of 0.8 m/s. Determine the rate of heat transfer from the entire plate.

The upper surface of a 50-cm-thick solid plate $(k = 237 W/m \cdot K )$ is being cooled by water with temperature of $20^\circ C.$ The upper and lower surfaces of the solid plate maintained at constant temperatures of $60^\circ C$ and $120^\circ C,$ respectively. Determine the water convection heat transfer coefficient and the water temperature gradient at the upper plate surface.

A Newtonian oil with a density of 60 $\mathrm{lb}_\mathrm{m} / \mathrm{ft}^{3}$, viscosity of $0.206 \times 10^{-3} \mathrm{lb}_{\mathrm{m}} / \mathrm{ft}-\mathrm{s}$ and kinematic viscosity of $0.342 \times 10^{-5} \mathrm{ft}^{2} / \mathrm{s}$ undergoes steady shear between a borizontal fixed lower plate and a moving horizontal upper plate. The upper plate is moving with a velocity of 3 ft/s. The distance between the plates is 0.03 in. and the area of the upper plate in contact with the fluid is $0.1 \mathrm{ft}^{2}$. Assume incompressible, isothermal, inviscid, frictionless flow. a. What is shear stress exerted on the fluid under these conditions? b. What is the force of the upper plate on the fluid?

How is the average friction coefficient determined in flow over a flat plate?

How is the average friction coefficient determined in flow over a flat plate?

Consider the thin constant-density plate

$$\{ ( r , \theta ) : 0 < a \leq r \leq 1,0 \leq \theta \leq \pi \}$$

bounded by two semicircles and the x-axis. For what value of a is the center of mass on the edge of the plate?

What is a concentration boundary layer? How is it defined for flow over a plate?

Explain why most earthquakes and volcanoes happen along plate boundaries.

In Thomson's experiment, why was the glowing beam repelled by a negatively charged plate?

Air $(k= 0.028 W/m \cdot K, Pr = 0.7)$ at $50^\circ C$ flows along a 1-m-long flat plate whose temperature is maintained at $20^\circ C$ with a velocity such that the Reynolds number at the end of the plate is 10,000. The heat transfer per unit width between the plate and air is (a) 20 W/m (b) 30 W/m (c) 40 W/m (d) 50 W/m (e) 60 W/m

A parallel-plate capacitor filled with air has plates of area $0.0066 \mathrm{~m}^2$ and a separation of $0.45 \mathrm{~mm}$. Find the magnitude of the charge on each plate when the capacitor is connected to a $12 \mathrm{~V}$ battery.