A metal bar of length 1.0 m, mass 25 kg, and resistance 4.0 N is free to slide on metal rails of negligible resistance. The bar is being pulled down by the force of gravity. A 12 T magnetic field is directed perpendicular to the face of the loop, as shown in the figure. At the instant shown, the bar is moving downwards at 1.5 m/s. 1.0 m 1.0 m (a) At the instant shown, what is the magnetic flux through the loop, directed into the page? (b) At the instant shown, what are the induced emf and induced current in the loop? (c) At the instant shown, what is the magnetic force (magnitude and direction) on the bar?

A metal rod completes a circuit while sliding without friction on a pair of rails in a uniform magnetic field. B is uniform sliding rod The mass of the rod is 382g. The resistor has a value of 4.04 ohm. The magnetic field has a strength of 7.77T and the distance between the rails is 4.61m. What is the downward force (in Newtons) pulling on the rail when it moves downwards with a constant velocity 2.31 m/s? (Note that the magnetic field created by the current in the circuit is small compared to the external field and can be neglected.)

A movable metal bar is in contact with opposite sides of a square ”C”- shaped wire as shown to the right. A 0.15 T magnetic field points into the page. The loop has a height of 0.02 m. At a certain instant the metal bar is 0.03 m from the other side of the loop. 10−4seconds later the metal bar is 0.04 m from the other side of the loop.  (a) What is the change in area of the loop (∆A) during this time?  (b) What is the change in magnetic flux through loop (∆ΦB) during this time?  (c) What is the rate of change of magnetic flux ( ∆ΦB∆t) through the loop?        (d) Suppose that the loop has a total resistance of 0.125 Ω. What is the induced current in this loop?

The magnetic field inside an air-filled solenoid 40.0cm long and 3.00cm in diameter is 0.707 T. Approximately how much energy is stored in this field?

5. A rectangular loop of wire (length L=13.0 cm and width W=7.80 cm) is moving as shown in the drawing with a speed of 1.00 m/s. The loop is leaving a region in which a 2.80 T magnetic field exists; the magnetic field outside this region is zero. During a time of 0.13 s, what is the magnitude of the change in the magnetic flux? Wb XXXX XXX XXXXXXXXX xxxxxxxxx xxxxxxxxx XXXXXXXXX XX

A 100-turn square coil of side 20.0 cm rotates about a vertical axis at 1.6 x10 rev/min as indicated in the figure. The horizontal component of the Earth's magnetic field at the coil's location is equal to 2.00 x 10T. Calculate the maximum emf induced ( in units of mV) in the coil by this field. 20.0 cm 20.0 cm

A conducting rod of length ℓ = 35.0 cm is free to slide on two parallel conducting bars as shown in the figure below. Two resistors R1 = 2.00 Ω and  R2 = 5.00 Ω are connected across the ends of the bars to form a loop. A constant magnetic field  B = 2.90 T is directed perpendicularly into the page. An external agent pulls the rod to the left with a constant speed of  v = 7.80 m/s.  Find the following. a) the currents in both resistors b) the total power delivered to the resistance of the circuit c) the magnitude of the applied force that is needed to move the rod with this constant velocity

Below is a closed conducting loop within a magnetic field (for direction see picture).  The loop is a circle with a radius of r = 19.00 cm.  The magnetic field is increasing in the direction shown at a rate of dB/dt = 169.0 mT/s.  The circle wire has 150.0 loops around it.  The wire has a total resistance of R = 3.30 Ohms.

No Battery: A metal rod is dragged along two parallel rails in a uniform 0.36 T magnetic field, as shown in the figure below. The rails and the field extend for a total distance of 1.53 m. A voltmeter connects the two rails, which are 12 cm apart. V X X X X X X X X X The rod is dragged to the right at a constant speed of 3.00 m/s. What will the voltmeter register as the rod passes the halfway point? (A positive voltage indicates a clockwise current.)

The figure below shows a top view of a bar that can slide on two frictionless rails. The resistor is R = 6.2002, and a 2.50-T magnetic field is directed perpendicularly downward, into the page. Let = 1.20 m. xxxxxx x xxxxxx xxxxxx xxxxxx xxx x xxxxxx xxxxxx x x x x x x x xxx app (a) Calculate the applied force required to move the bar to the right at a constant speed of 1.90 m/s. 3.338709 XN (to the right) (b) At what rate is energy delivered to the resistor? 7.679 XW