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- In the circuit sho in the accompanying figure, the rtd slides along the conducting rails at a constant VelOCity v. The velocity is in the same plane as the rails and directed at an angle 6 to them. A uniform magnetic field Bis directed out of the page. What is the emf induced in the r?The armature and field coils of a series-wound motor have a total resistance of 3.0 . When connected to a 120-V source and running at normal speed, the motor draws 4.0 A. (a) How large is tire back emf? (b) What current will the motor draw just after it is turned on? Can you suggest a way to avoid this large initial current?How long after switch S1 is thrown does it take the current in the circuit shown to reach half its maximum value? Express your answer in terms of the time constant of the circuit.
- The rod shown below moves to the right on essentially zero-resistance rails at a speed v=3.0m/s . If B = 0.75 T eveywhere in the region, what is the current through the 5.0 resistor? Does the current circulate clockwise or counterclockwise?The coil whose lengthwise cross section is shown in the accompanying figure carries a currents I and has N evenly spaced turns distributed along the length I. Evaluate BdI for the paths indicated.Check your Understanding Themagneticfield shown below Is confined to the cylindrical region shown and is changing withtime. Identity those paths for which =EdI0 .
- The magnetic flux through the loop shown in the accompanying figure varies with time according to m=2.00e3tsin(120t) , where m is in milliwebers. What are the direction and magnitude of the current through the 5.00 resistor at (a) t= 0; (b) t=2.17102 s and (c)t=3.00 s?Check Your Understanding A long solenoid of cross-section area 5.0 cm2is wound with 25 turns of wire pet centimeter. It is placed in the middle of a closely wrapped coil of 10 turns and radius 25 cm, as shown below. (a) What is the emfInduced In the coil when the current through the solenoid Is decreasing at a rate dl/dt= -0.20A/s? (b) What Is the electric field Induced In the coil?Shown in the following figure is a long, straight wire and a single-turn rectangular loop, both of which he in the plane of the page. The wire is parallel to the long sides of the loop and is 0.50 m away from the closer side. At an instant when the emf induced in the loop is 2.0 V, what is the time rate of change of the current in the wire?
- An eight-turn coil is tightly wrapped around the outside of the long solenoid as shown below. The radius of the solenoid is 2.0 cm and it has 10 turns per centimeter. The current through the soleNOID increases according to I=I0(1eat) where I0=4.0A and a=2.0102s1 . What is the emf induced in the coil when (a) t=0, (b) t=1.0102s and (c) t ?Repeat your calculations of the preceding problem’s time of 0.1 s with the plane of the coil making an angle of (a) 30°, (b) 60°, and (c) 90° with the magnetic field.The current in the long, straight wire shown in the accompanying figure is given by, where I=I0sint I0=15Aand=120rad/s. What is she current induced in the rectangular loop at (a) t = 0 and (b) t=2.1103s The resistance of loop is 2.0 .