A dielectric of permittivity 3.2x10-11F/m completely fills thevolume between two capacitor plates. For t >0 the electric fluxthrough the dielectric is ( 7600 V- m/s )-t. The dielectric isideal and nonmagnetic; the conduction current in the dielectric isPart Azero.At what time does the displacement current in the dielectric equal 30 µA ?Express your answer in seconds.t =SubmitRequest Answer

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Answered: A dielectric of permittivity 3.2x10-11…

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter16: Electromagnetic Waves

Section: Chapter Questions

Problem 37P: The potential difference V(t) between parallel plates shown above is instantaneously increasing at a...

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A parallel-plate capacitor with plate separation d is connected to a source of emf that places a time-dependent voltage V(t) across its circular plates of radius r0and area (a) Write an expression for the time rate of change of energy inside the capacitor in terms of V(t) and dV(t)/ dt. (b) Assuming that V(t) is increasing with time, identify the directions of the elecuic field lines inside the capacitor and of the magnetic field lines at the edge of the region between the plates, and then the direction of the Poynting vector S at this location. (c) Obtain expressions for the time dependence of E(t), for B(t) from the displacement current, and for the magnitude of the Poynting vector at the edge of the region between the plates. (d) From S , obtain an expression In terms of ‘(t) and dV(t)/dt for the rate at which electromagnetic field energy the region between the plates. (e) Compare the results of pails (a) and (d) and explain the relationship between them.
An automobile with a radio antenna 1.0 m long travels at 100.0 km/h in a location where theEarth’s horizontal magnetic field is 5.5105T . What is the maximum possible emf induced in the antenna due to this motion?
Under what conditions might wires in a circuit wher the current flows in only one direction emit electromagneti waves?
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 computer user finds that his wireless router transmits data at a rate of 75 Mbps (megabits per second). Compare the average time to transmit one bit of data with the time difference between the wifi signal reaching an observer’s cell phone directly and by bouncing back to the observer from a wall 8.00 m past the observer.
Suppose the parallel-plate capacitor shown below is accumulating charge at a rate of 0.010 C’s. What is the induced magnetic field at a distance of 10 cm from the capacitator?
The voltage across a parallel-plate capacitor with area A=800cm2 and separation d = 2 mm varies sinusoidally as V = (15 mV) cos (150t), where t is in seconds. Find the displacement current between the plates.
A 150-W lightbulb emits 5% of its energy as electromagnetic radiation. What is the magnitude of the average Poynting vector 10 m from the bulb?
A potential difference V(t) = V0sin tis maintained across a parallel-plate capacitor with capacitance C consisting of two circular parallel plates. A thin wire with resistance R connects the centers of the two plates, allowing charge to leak between plates while they are charging. (a) Obtain expressions for the leakage current Ires(t) in the thin wire. Use these results to obtain an expression for the current Ireal(t) in the wires connected to the capacitor. (b) Find the displacement current in the space between the plates from the changing electric field between the plates. (c) Compare Ireal(t) with the sum of the displacement current Id(t)and resistor current Ires(t) between the plates, and explain why the relationship you observe would be expected.
Express the displacement current in a capacitor in terms of the capacitance and the rate of change of the voltage across the capacitor.
A dielectric material with μ = μo, ε = 9εo σ = 4 S/m is placed between the plates of a parallel-plate capacitor. Calculate the frequency at which the conduction and displacement currents are equal.
The voltage across a parallel-plate capacitor with areaA and separation d varies with time t as V = at2, wherea is a constant. Find the displacement current between theplates.

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