A loop of wire of radius a = 50. mm has an electrical resistance R = 0.039 Ω . The loop is initially inside a uniform magnetic field of magnitude B0 = 1.8 T parallel to the loop's axis. The magnetic field is then reduced slowly at a constant rate, which induces a current I = 0.20 A in the loop. How long does it take for the magnitude of the uniform magnetic field to drop from 1.8 T to zero?

A loop of wire of radius a = 50. mm has an electrical resistance R = 0.039 Ω . The loop is initially inside a uniform magnetic field of magnitude B0 = 1.8 T parallel to the loop's axis. The magnetic field is then reduced slowly at a constant rate, which induces a current I = 0.20 A in the loop. How long does it take for the magnitude of the uniform magnetic field to drop from 1.8 T to zero?

Similar questions

A rod of length L = 10.0 cm that is forced to move at constant speed v = 5.00 m/s along horizontal rails. The rod, rails, and connecting strip at the right form a conducting loop. The rod has resistance 0.400 Ω; the rest of the loop has negligible resistance. A current i = 100 A through the long straight wire at distance a = 10.0 mm from the loop sets up a (nonuniform) magnetic field through the loop. Find the (a) emf and (b) current induced in the loop. (c) At what rate is thermal energy generated in the rod? (d) What is the magnitude of the force that must be applied to the rod to make it move at constant speed? (e) At what rate does this force do work on the rod?
A loop of wire with radius r=0.075m is placed in a region of uniform magnetic field with magnitude B. As shown in the figure, the field direction is perpendicular to the plane of the loop. The magnitude of the magnetic field changes at a constant rate from B1=0.55T to B2=1.5T in time Δt=5.5s. The resistance of the wire is R=6Ω A. Calculate, in Tesla squared meters, the magnitude of the change in the magnetic flux. B. Calculate, in volts, the average EMF induced in the loop. C. Calculate, in amperes, current induced in the loop.
A uniform externally applied magnetic field is in the +z direction (B = Bk, with B positive) and B is increasing with time. A loop of wire in the x-y plane is in this field (the magnetic field is perpendicular to this loop); it has a total resistance R independent of the radius r of the loop. Which of the following statements is true? The magnitude of the current is proportional to the radius of the loop: I=αr, α a constant. The current at any time is proportional to the magnitude of the magnetic field at that time. The current induced in the wire will produce a magnetic field in the –z direction. None of a-c More than one of a-c
An electron moving with a velocity, v =(4.0 i+ 3.0 j+ 2.0k) x 10^6m/s enters a region where there is a uniform electric field and a uniform magnetic field. The magnetic field is given by B =(1.0 i − 2.0 j + 4.0k) x 10^−2T. If the electron travels through a region without being deflected, what is the electric field?
A loop of wire of radius a = 35 mm has an electrical resistance R = 0.038 Ω . The loop is initially inside a uniform magnetic field of magnitude B0 = 1.8 T parallel to the loop's axis. The magnetic field is then reduced slowly at a constant rate, which induces a current I = 0.20 A in the loop. How long does it take for the magnitude of the uniform magnetic field to drop from 1.8 T to zero? Find the time Δt it takes the magnetic field to drop to zero.
A loop of wire with radius r= 0.183 m is in a magnetic field of magnitude B as shown in the figure. The magnetic field is perpendicular to the plane of the loop. B changes from B1= 0.22 T to B2= 7.5 T in Δt = 7.5 s at a constant rate. (a) Express the magnetic flux Φ going through a loop of radius r assuming a constant magnetic field B. (b) Express the change in the magnetic flux going through this loop, ΔΦ, in terms of B1, B2 and r. (c) Express the magnitude of the average induced electric field, E, induced in the loop in terms of ΔΦ, r and Δt.
A strip of copper is placed in a uniform magnetic field of magnitude 3.5 T. The Hall electric field is measured to be 2.0 x 10-3 V/m. (a) What is the drift speed of the conduction electrons m/s)? m/s (b) Assuming that n = 8.0 x 1028 electrons per cubic meter and that the cross-sectional area of the strip is 4.4 x 10-6 m², calculate the current in the strip (in A). (in m³/C)? nq (c) What is the Hall coefficient m3/c
A loop of wire has the shape shown in the drawing. The top part of the wire is bent into a semicircle of radius r = 0.27 m. The normal to the plane of the loop is parallel to a constant magnetic field (φ = 0˚) of magnitude 0.87 T. What is the change ΔΦ in the magnetic flux that passes through the loop when, starting with the position shown in the drawing, the semicircle is rotated through half a revolution?
An electron enters a region of space containing a uniform 1.03 x 10-5 T magnetic field. Its speed is 101 m/s and it enters perpendicularly to the field. Under these conditions, the electron undergoes circular motion. Find the radius r of the electron's path and the frequency f of the motion. r= f = m Hz
A loop of wire has the shape shown in the drawing. The top part of the wire is bent into a semicircle of radius r = 0.22 m. The normal to the plane of the loop is parallel to a constant magnetic field (φ = 0˚) of magnitude 0.90 T. What is the change ΔΦ in the magnetic flux that passes through the loop when, starting with the position shown in the drawing, the semicircle is rotated through half a revolution?
In the figure, an electron with an initial kinetic energy of 3.80 keV enters region 1 at time t = 0. That region contains a uniform magnetic field directed into the page, with magnitude 0.00620 T. The electron goes through a half-circle and then exits region 1, headed toward region 2 across a gap of 22.0 cm. There is an electric potential difference AV = 2000 V across the gap, with a polarity such that the electron's speed increases uniformly as it traverses the gap. Region 2 contains a uniform magnetic field directed out of the page, with magnitude 0.0157 T. The electron goes through a half-circle and then leaves region 2. At what time t does it leave? B₁ Region 1 Number i Units Region 2 OB₂
An electron enters a region of space containing a uniform 2.73 x 10-³ T magnetic field. Its speed is 125 m/s and it enters perpendicularly to the field. Under these conditions, the electron undergoes circular motion. Find the radius r of the electron's path and the frequency f of the motion. r = m f = Hz