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- . Calculate the time-averaged electric current of an electron flying in a circle with radius R andvelocity v.Problem 10: A solenoid is created by wrapping a L = 85 m long wire around a hollow tube of diameter D = 2.5 cm. The wire diameter is d= 0.85 mm. The solenoid wire is then connected to a power supply so that a current of I= 4.5 A flows through the wire Randomized Variables L- 85 nm D- 2.5 cm d= 0.85 mm I=4.5 A Part (a) Write an expression for the number of turns. N' in the solenoid. You do not need to take into account the diameter of the wire in this calculation 圖 Part (b) Calculate the number of turns, N. in the solenoid. a Part (c) Write an expression for the length of the solenoid (L2) in terms of the diameter of the hollow tube D, the length of the wire L and the diameter of the wire d. Assume it is constructed by using only 1 layer of loops (note that most solenoids are actually constructed with many layers, to maximize the magnetic field density) Part (d) Calculate the length of the solenoid (L2) in meters. Part (e)_Calculate the magnitude of the magnetic field at the center of…3. Four long wires are parallel to each other, their cross section forming a square 20 cm on edge, as shown in Figure 1 below. A 20 amp current is set up in each wire. What is the force per meter acting on the lower left wire, in magnitude and direction? represents current flowing through wire in the direction out of the paper, direction into the paper. represents current flowing through wire in the a a a Figure. 1
- 4. A circular capacitor of radius R holds a conductive current I. as it begins charging. As the current charges the capacitor, the electric field between the plates begin to increase in strength of E(t) = at³ +c in Newtons per Coulomb. (a) State the expression for Maxwell-Ampere's law. What is the major dif- ference between the Maxwell-Ampere law and Ampere's Law? Show how we arrive to this solution. (b) Determine the magnetic field strength at t = 2 seconds and position from center of cross section of capacitor at r = (1/4)R in terms of µo and eo.5. An electron orbiting an atomic nucleus forms its own kind of current loop. For a hydrogen atom in the lowest energy state, a single electron orbits the nucleus with a radius of 52.9 pm (5.29 × 10-11 nm) and a speed of about 2.2 x 106 m/s. X Z (a) Conventional current measures the amount of charge passing a certain point per unit time: I = In this case, Qis the electron charge, and At is the time it takes the electron to complete one full orbit. Using this information, what is the magnitude of the conventional current in the hydrogen atom? Answer: I = 1.05 mA. (b) What is the magnetic field (both magnitude and direction) at a distance of 5.29 nm along the axis of the atom, at the point indicated? Answer: -1.25 × 10-5 T 2++ A large cyclotron directs a beam of He nuclei onto a target with a beam current of 0.270 mA. (a) How many Hett nuclei per second is this? ++ Не nuclei/s (b) How long (in s) does it take for 1.40 C to strike the target? (c) How long (in s) before 1.25 mol of He*+ nuclei strike the target?
- How to solve this questionProblem 7: A solenoid is created by wrapping a L = 35 m long wire around a hollow tube of diameter D = 4.5 cm. The wire diameter is d = 0.75 mm. The solenoid wire is then connected to a power supply so that a current of I = 4.5 A flows through the wire. Randomized Variables L= 35 m D= 4.5 cm d = 0.75 mm I= 4.5 A Part (a) Write an expression for the number of turns, N, in the solenoid. You do not need to take into account the diameter of the wire in this calculation. N = | 7 8 9. JT НOME d 1^ AL 4 5 6. a h 1 2 3 j k + END - m P VO BАСKSРАСE CLEAR DEL Submit Hint Feedback I give up! Part (b) Calculate the number of turns, N, in the solenoid. Part (c) Write an expression for the length of the solenoid (L2) in terms of the diameter of the hollow tube D, the length of the wire L and the diameter of the wire d. Assume it is constructed by using only 1 layer of loops (note that most solenoids are actually constructed with many layers, to maximize the magnetic field density). Part (d)…