A conductor carries a current that is decreasing exponentially with time. The current is modeled as I = I0 e -t/τ where I0 = 1.00 A is the current at time t = 0.00 s and τ = 0.50 s is the time constant. How much charge flows through the conductor between t = 0.50 s and t = 0.52 s? Q = _________ mC
A conductor carries a current that is decreasing exponentially with time. The current is modeled as...
A conductor carries a current that is decreasing exponentially with time. The current is modeled as I = I0e−t/τ, where I0 = 6.50 A is the current at time t = 0.00 s and τ = 0.50 s is the time constant. How much charge flows through the conductor (in C) between t = 0.00 s and t = 4τ? (Enter the magnitude.) C Please show all the work done
A current passing through a resistor (R = 16 Ω) decreases exponentially with time as I(t) = I0e-αt where I0 = 7.5 A and α = 0.25 s-1. Calculate the total energy dissipated by the resistor in joules as time goes to infinity. E(t→∞) = Calculate the energy dissipated by the resistor in joules during the first 5 seconds. E = We were unable to transcribe this imageWe were unable to transcribe this image
An electric current in a conductor varies with time according to the expression I(t) = 108 sin (200πt), where I is in amperes and t is in seconds. What is the total charge passing a given point in the conductor from t = 0 to t = 1/300 s?
An electric current in a conductor varies with time according to the expression I(t) = 102 sin (240πt), where I is in amperes and t is in seconds. What is the total charge passing a given point in the conductor from t = 0 to t = 1/360 s?
If a conductor carries a steady current of 1 A, then the quantity of charge that flows through any cross section in 1 second is defined as a. 10 b.1A Oc.IN d. 1 T 3 points Saved A proton moving at a speed of 3.8 x 10m's cuts across the lines of a magnetic field at an angle of 70°. The strength of the field is 0.25 6. What is the magnitude of the force acting on the proton 2.5.1...
A long cylindrical conductor of radius 54cm carries a current. The current density is not uniform over the cross section of the wire, instead is is given as J = 7r. How much current is enclosed in an Amperian loop of radius 29? Note: If we had a uniform current, then we could simply multiply a current density by an area (pi r2) to get the current. Since we are dealing with a non-uniform current, we must instead take an...
Consider a long straight coaxial cable that carries a total current +I on its central conductor and - I on its concentric outer shell. Assuming that the current density on both conductors is uniform (though not necessarily the same value for both), find the magnitude of the magnetic field as a function of the radial distance s from the centre of the cable. Sketch a plot your result. For this particular problem, let the central conductor have a radius a...
A long, cylindrical conductor of radius R carries a current I as shown in the figure below. The current density), however, is not uniform over the cross-section of the conductor but is a function of the radius according to ) = 2br, where b is a constant. Find an expression for the magnetic field magnitude B at the following distances, measured from the axis. (Use the following variables as necessary: Mo, 11, 12, b, R.) (a) '1 <R B =...
A long, cylindrical conductor of radius R carries a current I as shown in the figure below. The current density J, however, is not uniform over the cross-section of the conductor but is function of the radius according to J = 5br^2, where b is a constant. Find an expression for the magnetic field magnitude B at the following distances, measured from the axis. (Use the following variables as necessary: mu_0, r_1, r_2, b, R.) r_i < R r_2 >...
A cylindrical conductor of a circular cross section (radius = a) carries a time-invariant current I(>0) directed out of the page. The line integral of the magnetic flux density vector B, along a closed circular contour C positioned inside the conductor (the contour radius r is smaller than the conductor radius a) is conductor