In the figure below, two straight conducting rails form a right angle. A conducting bar in contact with the rails starts at the vertex at time t = 0 and moves with a constant velocity of 7.53 m/s along them. A magnetic field with B = 0.395 Tis directed out of the page. Calculate (a) the flux through the triangle formed by the rails and bar at t = 2.69 s and (b) the emf around the triangle at that time. (c) If the emf is ɛ = at", where a and n are constants, what is the value of n? *B
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- In the figure, a metal rod is forced to move with constant velocity along two parallel metal rails, connected with a strip of metal at one end. A magnetic field of magnitude B = 0.402 T points out of the page. (a) If the rails are separated by 28.9 cm and the speed of the rod is 70.7 cm/s, what is the magnitude of the emf generated in volts? (b) If the rod has a resistance of 21.9 Ω and the rails and connector have negligible resistance, what is the current in amperes in the rod? (c) At what rate is energy being transferred to thermal energy?In the figure, an electron with an initial kinetic energy of 4.40 keV enters region 1 at time t = 0. That region contains a uniform magnetic field directed into the page, with magnitude 0.0120 T. The electron goes through a half-circle and then exits region 1, headed toward region 2 across a gap of 25.0 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 0.0206 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 OB₂Chapter 30, Problem 015 GO A square wire loop with 2.4 m sides is perpendicular to a uniform magnetic field, with half the area of the loop in the field as shown in the figure. The loop contains an ideal battery with emf 8 = 23 V. If the magnitude of the field varies with time according to B = 0.050 - 0.83 t, with B in teslas and t in seconds, what are (a) the net emf in the circuit and (b) the direction of the (net) current around the loop? B & bat
- A square loop 20 cm on a side lies in the x-y plane and has a resistance of 50 2. The loop is in an external magnetic field given by B = 4e-3 at an angle of 30 degrees above the y-axis in the y-z plane. Find the magnitude and direction of the current flow at t = 2 s.In the figure, an electron with an initial kinetic energy of 4.10 keV enters region 1 at time t = 0.That region contains a uniform magnetic field directed into the page, with magnitude 0.00690 T. The electron goes through a half-circle and then exits region 1, headed toward region 2 across a gap of 29.0 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 0.0201 T. The electron goes through a half-circle and then leaves region 2. At what time t does it leave? Region 1 Region 2 Number i UnitsA solenoid with 1200 turns per meter has a diameter of 7.00 cm. A current I = 2.37 A flows in the counterclockwise direction (when viewed from location P) in the solenoid. A rectangular loop of length L = 16.0 cm, width w = 12.5 cm, and 2 turns is centered on the axis of the solenoid. w (a) Find the magnitude of the magnetic flux through one turn of the rectangular loop. Wb (b) When the current is increased to 5.49 A, the magnitude of the induced emf in the rectangular loop is 116 mV. How long did it take for the current to get to this value? ms (c) What is the direction of the induced current in the rectangular loop as viewed from the location P? counterclockwise clockwise no current
- A solenoid with 1200 turns per meter has a diameter of 5.00 cm. A current I = 2.57 A flows in the counterclockwise direction in the solenoid. A rectangular loop of length L = 16.0 cm, width w = 12.5 cm, and 2 turns is centered on the axis of the solenoid. P (a) Find the magnitude of the magnetic flux through the loop. Wb W (b) When the current is increased to 5.39 A, the magnitude of the induced emf in the rectangular loop is 116 mV. How long did it take for the current to get to this value? ms (c) What is the direction of the induced current in the rectangular loop as viewed from the location P? O counterclockwise clockwise O no currentIn the figure, an electron with an initial kinetic energy of 4.10 keV enters region 1 at time t = 0. That region contains a uniform magnetic field directed into the page, with magnitude 0.00550 T. The electron goes through a half-circle and then exits region 1, headed toward region 2 across a gap of 23.0 cm. There is an electric potential difference ΔV = 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 0.0247 T. The electron goes through a half-circle and then leaves region 2. At what time t does it leave?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 = 0.16 m. The normal to the plane of the loop is parallel to a constant magnetic field (p=0") of magnitude 0.74 T. What is the change AO 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? B (into paper) AD= Y i 0.0296 Wb V
- In the given figure, a square metal loop of side 4.00 cm and resistance 5.00 2 moves to the right (+x-direction) into, through, and out of a 6.00-cm-wide region of uniform magnetic field perpendicular to the plane of the loop. The magnetic field in the region is 0.250 T. At t= 0, the loop just begins to enter the region of magnetic field. The loop moves at a constant 1.00 cm/s. Which of the following correctly plots the graph of the external force applied to the loop (to keep it moving at constant velocity) as a function of time? х х 1 XI X ix R d х х Multiple Choice Applied force to loop 300 200 100 time 2 6 10 12In 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 Fapp = 1.45 N. The friction between the bar and rails is negligible. The resistance R = 8.00 02, the bar is moving at a constant speed of 1.65 m/s, the distance between the rails is , and a uniform magnetic field B is directed into the page. JE (a) What is the current through the resistor (in A)? (b) If the magnitude of the magnetic field is 2.90 T, what is the length (in m)? (c) What is the rate at which energy is delivered to the resistor (in W)? ( (d) What is the mechanical power delivered by the applied constant force (in W)?A 1.0 m long metallic rod is rotated with an angular frequency of 400 rad s1 about an axis normal to the rod passing through its one end. The other end of the rod is in contact with a circular metallic ring. A constant and uniform magnetic field of .5 T parallel to the axis exists everywhere. Calculate the emf developed between the centre and the ring.