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Faraday-inductance-AC-circuit Begin Date: 4/6/2022 12:01:00 AM -- Due Date: 5/3/2022 11:59:00 PM End Date: 5/17/2022 11:59:00 PM Problem 1: Suppose a conducting rod is 66.5 cm long and slides on a pair of rails at 3.25 m/s. Randomized Variables v = 3.25 m's 1 = 66.5 cm What is the strength of the magnetic field in T if a 4 V emf is induced? Numeric : A numeric value is expected and not an expression. B =Problem 2: Suppose a motor connected to a 150 V source draws 18 A when it first starts. Randomized Variables V = 150 V I= 18 A Part (a) What is its resistance in Q? Numeric : A numeric value is expected and not an expression. R = Part (b) What current does it draw at its normal operating speed when it develops a 100 V back emf? Numeric : A numeric value is expected and not an expression. If=Problem 3: Suppose a 5?.5 cm long, 11 cm diametet solenoid has 1000 loops. Part {:1} Calculate the selfinductance of it in mH. Numeric :A numeIic value is expected and not an expression. L = Part (In) How much energy is stored in this inductor when 19 A of current ows through it? Give your answer in I. Numeric :A numeIic value is expected and not an expression. Em: Part (c) How fast can it be turned off (in s) if the average induced emf cannot exceed 2. 95 V? Numeric :A numeric value is expected and not an expression. 43min = Problem 4: A resistor and inductor are connected to a 9.0 V battery by a switch as shown. The moment the switch is closed, current ows through the circuit. The resistor has a resistance ofR = 1'20 52 and the inductor has an inductance off. = 35 mH. Randomized Variables R = 1'20 52 L = 85 mH @tlmcxpcrttmcmn Part (a) At time t = 0 the switch is closed and current flows through the circuit. The current increases with time and eventuallyr reaches a stead}r state value ofimm. Calculate the maximum current imm in units ofmilliamps. Numeric : A numeric value is expected and not an expression. in in: Part (h) Calculate the time constant: I, of the circuit, in seconds. Numeric : A numeric value is expected and not an expression. I : Part (c) Determine the time in seconds. at which the current has a value of 6359) = 50% ofim. Numeric : A numeric value is expected and not an expression. '50 = Part (11} Determine the time, in seconds: at which the current has a value of $99) = 99% of imm. Numeric : A numeric value is expected and not an expression. 399 = Problem 5: An air-core solenoid has N= 1620 turns, d = 0.64 m length, and cross sectional area A = 0.014 m-. The current flowing through the solenoid is I = 0.852 A. Randomized Variables N = 1620 turns d d = 0.64 m A = 0.014 m- I = 0.852 A Otheexpertta.com Part (a) Express the inductance of the solenoid, L, of the solenoid in terms of N. d, and A. Expression : L = Select from the variables below to write your expression. Note that all variables may not be required. O, P. Mo: 0: A. d, g. h, I, L. m. N. P. q. t Part (b) Calculate the numerical value of L in henries. Numeric : A numeric value is expected and not an expression. L = Part (c) Express the energy, U, of the solenoid in terms of I and I. Expression : U = Select from the variables below to write your expression. Note that all variables may not be required. a; P: Mo: 0. A. d. g. h, I. L. m, N. P. q t Part (d) Calculate the numerical value of U in joules. Numeric : A numeric value is expected and not an expression. U =Problem 6: A series AC circuit contains a voltage source, a resistor, a capacitor, and an inductor. The voltage source supplies the voltage v = V0 sinker), where V0 = 1'20 V and a: = 95 rad-\"s. The components' values areR = 59 .Q, C = 0.016 F, and L = 15 H. Part (a) Calculate the capacitive reactance of the circuit, in ohms. Numeric :A numeric value is expected and not an expression. Xe: Part (In) Find the inductive reactance of the circuit, in ohms. Numeric :A numeric value is expected and not an expression. XL: Part (c) Calculate the circuit's impedance, in ohms. Numeric :A numeric value is expected and not an expression. Z: Part (:1) Find the maximum current in the circuit, in amperes. Numeric :A numeric value is expected and not an expression. I0 = Part (e) Calculate the rms current inthe circuit, in amperes. Numeric :A numeric value is expected and not an expression. In: Part (1) Find the average power delivered to the circuit, in watts. Numeric :A numeric value is expected and not an expression. 1' = a