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.
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- BaahshshAn alternating current generator in the United Kingdom generates current with a frequency of 50 Hz. Suppose that initially, the current is at its maximum of 12 amperes. If the current varies in simple harmonic motion over time, write a model for the current I (in amperes) as a function of the time t (in seconds).A silver wire has resistivity p = 1.60 × 108 Q-m and a cross-sectional area of 2.20 mm2. The current in the wire is uniform and changing at the rate of 2850 A/s when the current is 180 A. (a) What is the magnitude of the (uniform) electric field in the wire when the current in the wire is 180 A? (b) What is the displacement current in the wire at that time? (c) What is the ratio of the magnitude of the magnetic field due to the displacement current to that due to the current at a distance r from the wire? (a) Number i Units (b) Number i Units (c) Number i Units
- A capillary tube shaped conductor (silindirik boru) with p resistivity has length d and its dimensions shown in figure. Apply a potential difference Vo is applied between to ends. Show clearly which end positive and negative. a) Show the direction of electric field, current, current density in the conductor. b) Calculate the current density J in the wire c) Calculate the magnetic field everywhere. Show and explain every step by using Ampere's Law. h 1₂Given: 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.The circuit in the figure consists of switch S, a 5.10 V ideal battery, a 20.0 MQ resistor, and an airfilled capacitor. The capacitor has parallel circular plates of radius 4.90 cm, separated by 5.00 mm. At time t = 0, switch S is closed to begin charging the capacitor. The electric field between the plates is uniform. At t = 150 µs, what is the magnitude of the magnetic field within the capacitor, at radial distance 2.40 cm? Number i S C R Units T