The electric flux through a dielectric material at a time t is ºe(t) = (8.76 × 10°V m/s*) · t*.. What is the dielectric constant k of the material if the displacement current has a magnitude 12.9 pA at a time t = 26.1 ms? O A. 2339 О В. 2.339 Ос. 9360 O D. 9.360
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- 4. A circular capacitor of radius R holds a conductive current I. as it begins charging. As the current charges the capacitor, the electric field between the plates begin to increase in strength of E(t) = at³ +c in Newtons per Coulomb. (a) State the expression for Maxwell-Ampere's law. What is the major dif- ference between the Maxwell-Ampere law and Ampere's Law? Show how we arrive to this solution. (b) Determine the magnetic field strength at t = 2 seconds and position from center of cross section of capacitor at r = (1/4)R in terms of µo and eo.What is the magnitude and direction of the acceleration on the electron in a 3T magnetic field ( -k) and an 800 V/m (-j) electric field, shown below (neglecting gravity), if its velocity is 300 m/s? X X X B= 3.0 T X X X X X X X X X X E=800 V/m 3.512 EE+13 m/s2 (j) -3.512 EE+13 m/s2 (j) 3.512 EE-13 m/s2 (k) 2.489 EE+13 (j) -2.489 EE+13 (j)Consider a straight conductor of length 9.7 cm. The conductor moves at right angles to a magnetic field of uniform strength B = 10-3 T generating e.m.f. of 2.5 × 10-³ V. Calculate the velocity of the straight conductor. Give your answer in SI units. Answer: Choose... +
- direct answer pleaseSolar radiation intensity averages to be 1366 W/m2 at the top of the Earth's atmosphere. What is the solar radiation intensity at the top of Mars's atmosphere? (The orbital radius of Earth is 1.49597887 x 1011 meters, and the orbital radius of Mars is 2.27936637 x 1011 meters.) W/m2 What is the electric field strength on Mars due to solar radiation? V/mGiven: B = 5 * 10-5 T ẑ; σ = 4 (Ohm-meters)-1 (conductivity) a) Assume that seawater is moving at a constant velocity v = v0 ŷ and that the Earth’s magnetic field is along the ẑ-direction. Calculate the electric current density J produced by the magnetic force. Hint: first compute the force per unit charge, F/q, and then use the relationship J = σ(F/q). b) Derive the equation of motion of a cylindrical differential volume element of base area δA and height δh parallelto the direction of J. Assume that seawater has a known volumetric mass density ρ. Show that this equation implies that the velocity satisfies the following differential equation:dvy/dt = vy/τwhere τ is a constant that you should write in terms of B, σ, and ρ.
- Crossed electric and magnetic fields have magnitudes of 4.65 V/m and 74.5 mT. Find the speed at which electrons moving perpendicular to both fields can travel through them without being deflected?A long solenoid has a radius of 4 cm and has 800 turns/m. If the current in the solenoid is increasing at the rate of 6 A/s, what is the magnitude of the induced electric field at a point 2.2 cm from the axis of the solenoid? a. 219.00 μν/m b. 90.00 μν/m Ο c. 66.30 μν/m d. 54.00 µV/m e. 482.16 µV/m005 A uniform electric field of magnitude 5.06 x 10 V/m throughout a cylindrical volume re- sults in a total energy of 2.95 µJ. What magnetic field over this same region stores the same total energy? Answer in units of T.
- 99. A velocity selector consists of electric and magnetic w fields described by the expressions E Bi, with B = 15.0 mT. Find the value of E such that a 750-eV electron moving in the negative x direction is undeflected. = Ek and B = %3D %3D %3DFigure CQ19.7 shows a coaxial cable carrying current I in itsinner conductor and a return current of the same magnitudein the opposite direction in the outer conductor. Themagnetic field strength at r = r0 is B0. Find the ratio B /B0 at(a) r = 2r0 and (b) r = 4r0.