5) 1 I. 2or A small circular metal ring of radius r is concentric with a...
Circular Loops - CL-1 A circular wire of radius R carries a current I as shown to the right. dl2 to determine a) Use the Biot-Savart law dB the direction of dB1, the magnetic field produced at the origin by ring element dli shown on the figure. Draw a figure like the one given and show on your figure dh and the unit vector State the direction of dB1 in terms of the coordinate axes. b) Use the Biot-Savart law...
Problem 22.26 (Multistep) In the figure below a very small circular metal ring of radius r= 0.5 cm and resistance x= 5 Ω is at the center of a large concentric circular metal ring of radius R= 50 cm. The two rings lie in the same plane. At t= 3 s, the large ring carries a clockwise current of 5 A. At t= 3.3 s, the large ring carries a counterclockwise current of 8 A. Part 1 (a) What is...
Given a ring of current, I, and radius R (a) Use Biot-Savart Law to calculate the magnetic field on the z axis, (b) what is the force on a parallel wire current, I, a distance z above the ring?
9. A small circular loop of area A is placed in the plane of, and concentric with, a large circular loop of radius R. Over the time interval from t = 0 to t = 1 s, the current in the large loop is reversed from +i, to -1, (a change in direction) at a constant rate according to i(t) = 1,(1 - 2t). The magnetic field Blarge loop produced by the large loop may be assumed to be constant...
(a) A circular ring has radius r and mass M. Let L be the axis of the ring (the line that is perpendicular to the plane of the ring and that passes through the center of the ring). What is the force on a mass m that is located on L, at a distance x from the center of the ring? (b) A hole with radius R is cut out from an infinite flat sheet with mass density p (kg/m^2)....
A strong magnet is placed under a horizontal conducting ring of radius r that carries current I as shown in the figure below. The magnetic field B makes an angle θ with the vertical at the ring's location. (a) what is the magnitude of the resultant magnetic force on the ring? (Use any variable or symbol stated above along with the following as necessary: π) (b) What is the direction of the resultant magnetic force on the ring? to the...
A small circular loop of wire of radius 5.0 cm and resistance R = 9.0 10-4 Ω is centered inside a large circular loop of wire of radius 50 cm (see figure below). The larger loop, which initially carries a current I = 6.5 A, is cut and its current is reduced to zero over a time interval of 1.2 10-6 s. Find the average current in the smaller loop during this time interval. (The magnetic field of the larger...
An artist builds a giant kinetic sculpture: a huge, circular, solid metal ring (radius r) mounted vertically on a swivel, with a motor that rotates it within the Earth's magnetic field. The sculpture is located in Hawaii where is constant and uniform (as shown above): parallel to the ground, with magnitude 5.0 Times 10-5 T.
(2) B-field Curve. A circular ring of radius r = 0.10 m and resistance Ro = 2.02 sits in a uniform magnetic field pointing out of the page. The graph shows the strength of that field as a function of time (a negative value indicates that the field is pointing into the page at that moment). (a) At what time (or times) is the largest current induced in the ring? (b) Between t=2s and t = 3 s is the...
A uniform circular ring of charge Q and radius r in the xy-plane is centered at the origin. (a) Derive a formula for the (z-directed) electric field E(z) at any point on the +z-axis, and graph this for-∞ < z < ∞ (indicate direction as ±; note E(-z) =-E(z). (b) At what value of z is E(z) maximal, and what is this maximum? (c) Sketch the field lines-note the bottleneck!