A solenoid with 1200 turns per meter has a diameter of 2.00 cm. A current I = 2.54 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. (a) Find the magnitude of the magnetic flux through the loop. Wb (b) When the current is increased to 5.46 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 O clockwise O no current

For a technical application, an electrical engineer needs to create a solenoid using copper wire with diameter d = 0.500 mm. The resistance of the solenoid needs to be 5.10 2 and the magnetic field of the solenoid with a current of 3.10 A should be 5.90 x 10-2 T. Assume the resistance does not change significantly with temperature, and the radius of the solenoid is 1.00 cm. (Use p = 1.70 x 1080 m for the resistivity of copper.) (a) How many turns of wire does the electrical engineer need? turns (b) Determine the required length (in cm) of the solenoid. cm

A solenoidal coil with 25 turns of wire is wound tightly around another coil with 300 turns. The inner solenoid is 25.0 cm long and has a diameter of 2.00 cm. At a certain time, the current in the inner solenoid is 0.120 A and is increasing at a rate of 1.75 * 103 A/s. For this time, calculate: (a) the average magnetic flux through each turn of the inner solenoid; (b) the mutual inductance of the two solenoids; (c) the emf induced in the outer solenoid by the changing current in the inner solenoid.

Chapter 30, Problem 023SN The figure shows two parallel loops of wire having a common axis. The smaller loop (radius r) is above the larger loop (radius R) by a distance x>>R. Consequently, the magnetic field due to the counterclockwise current / in the larger loop is nearly constant throughout the smaller loop. Suppose that x is increasing at the constant rate dx/dt = v. (a) Find an expression for the magnetic flux through the area of the smaller loop as a function of x. In the smaller loop, find (b) an expression for the magnitude of the induced emf and (c) the direction of the induced current. R. (a) ? ENI (ь) 2 Edit (c)

For a solenoid in vacuum of length l = 10 cm with 10* turns per meter calculate the value of the current if the solenoid is placed in an external uniform magnetic field Bext = 35 µT with field lines exactly opposite to the field produced by the solenoid. Take vacuum permeability Ho = 4x x 10-7 H/m. Provide your answer in SI units. Answer:

Can you help with subquestions 9a and 9b  9a. A very long solenoid with a circular cross section and radius r= 5.10 cm with n= 1.10E+4 turns/m has a magnetic energy density uB= 6.60 mJ/m3. What is the current in the solenoid? 9b. What is the total energy stored in the solenoid if its length is 0.620 meters? (Neglect end effects.) This is not and will not be graded

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