In the figure below, a metal bar sitting on two parallel conducting rails, connected to each other by a resistor, is pulled to the right with a constant force of magnitude Fapp = 1.20 N.The friction between the bar and rails is negligible. The resistance R = 8.00 Ω,the bar is moving at a constant speed of 1.75 m/s, the distance between the rails is ℓ, and a uniform magnetic field B is directed into the page. Two parallel horizontal rails are vertically aligned and connected on their left ends by a wire. A resistor R is in the middle of the wire. The rails are separated by a distance ℓ. A bar lies vertically across the middle of the rails, to the right of the wire. An arrow labeled Fapp extends from the middle of the bar to the right. (a) What is the current through the resistor (in A)? (b) If the magnitude of the magnetic field is 2.60 T, what is the length ℓ (in m)? (c) What is the rate at which energy is delivered to the resistor (in W)?

The figure below shows a bar of mass m = 0.270 kg that can slide without friction on a pair of rails separated by a distance ℓ = 1.20 m and located on an inclined plane that makes an angle ? = 29.5° with respect to the ground. The resistance of the resistor is R = 3.30 Ω, and a uniform magnetic field of magnitude B = 0.500 T is directed downward, perpendicular to the ground, over the entire region through which the bar moves. With what constant speed v does the bar slide along the rails? m/s

A bar slides to the right at a constant speed of 2.1 m/s on two frictionless rails. The resistance of resistor R is 5.2 Q, and a 2.5 T constant magnetic field is directed perpendicularly downward, into the page. Let e = 1.2 m. Bin x x app x x (a) Find the current passing through the resistor. A I = (b) The direction of magnetic force on the moving bar is O No magnetic force O Right O Left O Out of the page O Into the page 1 x x x X x x x x X X x x * * x x x * * x x x x x x xx X X x x

A coil of wire with N = 198 turns sits with its normal parallel to a B = 0.596 T magnetic field. The coil has a radius of r = 0.0439 m. If the coil experiences a torque of τ = 0.809 N·m, how much current (I) runs through the coil?

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.

In the figure below, an iron bar sitting on two parallel copper rails, connected to each other by a resistor, is pulled to the right at a constant speed. The resistance R = 7.00 n, the distance between the rails is { = 1.20 m, and a uniform 3.10 T magnetic field is directed into the page. At what speed (in m/s) should the bar be moved to produce a current of 0.500 A in the resistor? m/s

A square wire loop (side length 1.5 m) is oriented so that it is perpendicular to an external magnetic field B, with half the area of the loop embedded in the field, as shown below. The loop contains a battery with a constant emf Eb = 7.2 V and a resistor R = 3.2 Ω. The external magnetic field is B(t) = [0.027 T − (0.56 T/s) t] î where î is out of the page. (a) Findtheemfproducedbyinductionintheloop. (b) Findthenetcurrentintheloopfromboththeinducedemfandthebattery. (c) What direction is the current in? (a) Findtheemfproducedbyinductionintheloop. (b) Findthenetcurrentintheloopfromboththeinducedemfandthebattery. (c) What direction is the current in? (a) Find the emf produced by induction in the loop. (b) Find the net current in the loop from both the induced emf and the battery. (c) What direction is the current in?

In the figure below, an iron bar sitting on two parallel copper rails, connected to each other by a resistor, is pulled to the right with a constant force of magnitude F = 1.25 N. The friction between the bar and rails is negligible. The resistance R = 8.00 02, the bar is moving at a app constant speed of 2.25 m/s, the distance between the rails is e, and a uniform magnetic field B is directed into the page. R i (a) What is the current through the resistor (in A)? 0.5929 A Fapp (b) If the magnitude of the magnetic field is 2.60 T, what is the length / (in m)? 0.81 m (c) What is the rate at which energy is delivered to the resistor (in W)? 2.812 ✓ W (d) What is the mechanical power delivered by the applied constant force (in W)? W What If? Suppose the magnetic field has an initial value of 2.60 T at time t = 0 and increases at a constant rate of 0.500 T/s. The bar starts at an initial position x = 0.100 m to the right of the resistor at t = 0, and again moves at a constant speed of 2.25…