Given that a current of I(t)= 2t2+4 (where t is in s) is flowing parallel to the axis of a cylindrical conductor. If the cylinder has a radius of 0.4 mm and a length of 50 cm. Find
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- Given that a current of I(t)= 7t2+4 (wheret is in s) is flowing parallel to the axis of a cylindrical conductor. If the cylinder has a radius of 0.3 mm and a length of 50 cm. Find the current density in units of MA/m2 at t=3.7 s. Note the unit MA/m²=10®A/m² Select one: O A. 647 OB. 775 OC. 1059 D. 106 O E. 353In a given fluid, positive ions, each with 1 excess protons, move to the right at a steady rate of 1.9 × 1019 ions per minute and negative ions, each with 4 excess electrons, move to the left at a rate of 4.8 × 1019 ions per minute. Determine the current directed to the right. Use the fundamental unit of charge to be C. Determine the current (in amperes) to the right. Express Answer into FOUR decimal places.A (3.45x10^2)-mA current is used to charge up a parallel plate capacitor. A large square piece of paper is placed between the plates and parallel to them so it sticks out on all sides. What is the value of the integral B. ds around the perimeter of the paper? Express your result in T.m with three significant figures.
- A student woants to identify the Resistivity of a conducting wire of unknown material. Resistivity is a property of a material that quantifies how strongly it conducts electric current, and it is formulated as, of p= R4 where R is the Resistance (ohms), A cross-sectional area (meters-squared) and I is the length (meters) of the wire. The student runs an experiment on a cylindrical wire of a length l of 2 centimeters and the cross- sectional area A of the wire is 6.1 centimeters-squared. The measurements of the Current is as below Dataset Voltage (Applied, Volts) Current (Measured, Amperes)The magnitude Jof the current density in a certain wire with a circular cross section of radius R = 2.28 mm is given by J = (3.18 × 10®)r2, with J in amperes per square meter and radial distance r in meters. What is the current through the outer section bounded by r = 0.927R andr = R? Number Units6.47. A filamentary current of I(A) passes down the z axis to z-5x 10m where it enters the portion 0sosn/4 of a spherical shell of radius 5x 10m. Find K for this current sheet. 80/ a. (A/m) A sin e Ans.
- The magnitude of the current density in a certain lab with a circular cross section of radius R=4.00 mm is given by J= (3.00 × 10^8) r^2, with J in amperes per square meter and radial distance r in meters. What is the current through the outer section bounded by r = 0.500R and r = R ?QUESTION.1. A circular beam of charge of radius 10 cm moving with a constant speed u = 3. 108 m/s along the +z direction. The beam's axis is coincident with the z-axis and the charge density is given by; Pv = 5re-* [C/m³] where r is the radial distance from the axis of the beam. Find the current by using; = |1. ds [4] and verify your result by; I = pru [A].If a wire of radius a = 9.0 mm has got non-uniform current density J = Jo (1- (r/ a)) where r is radial distance, what's the resulting current? (Jo = 4.8 x 10“ A/m²) (Pi=3.14 , Your result should be in A, Your answer must include 2 digit after the decimal point. Maximum of %1 of %3D error accepted in your answer.) 452.16
- The figure below represents a section of a circular conductor of nonuniform diameter carrying a current of I = 4.50 A. The radius of cross-section A, is r, = 0.450 cm. A1 (a) What is the magnitude of the current density across A,? |A/m² The radius r, at A, is larger than the radius r, at A,. (b) Is the current at A, larger, smaller, or the same? O The current is larger. O The current is smaller. O The current is the same. (c) Is the current density at A, larger, smaller, or the same? O The current density is larger. O The current density is smaller. O The current density is the same. Assume A, = 2A1 (d) Specify the radius at A2. mm (e) Specify the current at A,. A (f) Specify the current density at A,. A/m2A capacitor with square plates, each with an area of 37.0 cm² and plate separation d = 2.62 mm, is being charged by a 205-mA current. (a) What is the change in the electric flux between the plates as a function of time? (Use the following as necessary: t. Do not use other variables, substitute numeric values. Assume that doe/dt is in V m/s and t is in seconds. Do not include units in your answer. Enter the magnitude.) de dt = (b) What is the magnitude of the displacement current between the capacitor's plates?Q3.a.Calculate the current density for Aluminum wire has radius 1mm and current 1mA? 318.31A/m? b. Calculate the drift speed for electrons in the wire ? 3.29*10-8 m/s if the pAL-2.7*103 kg/m3 and if you know that one mole in the Aluminum has mass equal to 26.98g and there is one conduction for each Aluminum atome?