How much energy is transported across a 0.25 m² area per hour by an EM wave whose E field has a max strength of 0.12 V/m? First, find the average intensity, Ī.
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- On its highest power setting, a microwave oven increases the temperature of 0.400 kg of spaghetti by 45.0°C in 120 s. (a) What was the rate of energy absorption by the spaghetti, given that its specific heat is 3.76103J/kg.C ? Assume the spaghetti is perfectly absorbing. (b) Find the average intensity of the microwaves, given that they are absorbed over a circular area 20.0 cm in diameter. (C) What is the peak electric field strength of the microwave? (d) What is its peak magnetic field strength?A velocity selector in a mass spectrometer uses a 0.120 T magnetic field. (a) What electric field strength (in volts per meter) is needed to select a speed of 4.50 ✕ 106 m/s? V/m (b) What is the voltage (in kilovolts) between the plates if they are separated by 1.00 cm? kVIn a medium with (μ, = 1,6,= 8) the electric filed intensity is given by E = 10 sin(1000t - 10x) ay V/m. Calculate the displacement current density.
- The E field in an EM wave in free space has a peak of 20.7 mV/m. What is the average rate at which this wave carries energy across unit area per unit time? Express your answer using three significant figures.What is the maximum power level of a radio station so asto avoid electrical breakdown of air at a distance of 0.65 mfrom the transmitting antenna? Assume the antenna is apoint source. Air breaks down in an electric field of about 3 x106 v/m?A0.5 MHz antenna carried by an airplane flying over the ocean surface generates a wave that approaches the water surface in the forme a normally incident plane wave with an electric-field amplitude of 5500 V/m. Seawater is characterized by a dielectric constant of 72, relative permeabity of 1 and conductivity of 4 Slm. The plane is trying to communicate a message to a submarine submerged at a depth d below the water surface. If the submarine's receiver requires a minimum signal ampitude of 0.03 u Vim), what is the maximum depth d to which successful communication is still possible? Answer
- A (2.78x10^0)-μF capacitor is connected to an EMF that is increasing uniformly with time at a rate of (1.965x10^2) V/s. What is the displacement current between the plates? Express the result in mA with three significant figures.If the electric field intensity in a source-free, dielectric medium is given asE = Eq[sin(ax — wr) + sin(@x + o] , V/m, determine the mag- netic field intensity using Maxwell’s equation from Faraday's law. What is the displacement current density in the medium?An astronaut is connected to her spacecraft by a25-m-long tether cord as she and the spacecraft orbit Earth ina circular path at a speed of 3.0 x 103 m/s. At one instant, thevoltage measured between the ends of a wire embedded in thecord is measured to be 0.45 V. Assume the long dimension ofthe cord is perpendicular to the vertical component of Earth’smagnetic field at that instant. (a) What is the magnitude of thevertical component of Earth’s field at this location? (b) Doesthe measured voltage change as the system moves from onelocation to another? Explain.
- dl L = U- RI dt Solve this equation for I(t) with I(0) =lo. What is I(t) as t approaches infinity?E H A coaxial capacitor with inner radius 5 mm, outer radius 6 mm and length 500 mm has a dielectric for which e,=6.7 and an applied voltage 250 sin 377t (V). Determine the displacement current ip and compare with the conduction current i̟.An AM radio transmitter broadcasts 46.0 kW of power uniformly in all directions. Assuming all of the radio waves that strike the ground are completely absorbed, and that there is no absorption by the atmosphere or other objects, what is the intensity (in W/m2) 30.0 km away? What is the maximum electric field strength (in V/m) at this distance?