A constant current of I = 15 A exists in a solenoid whose inductance is L = 3.7 H. The current is then reduced to zero in a certain amount of time. (a) If the current goes from 15 to 0 A in a time of 75 ms, what is the emf induced in the solenoid? (b) How much electrical energy is stored in the solenoid? (c) At what rate must the electrical energy be removed from the solenoid when the current is reduced to 0 A in a time of 75 ms? Note that the rate at which energy is removed is the power. (a) ε= (b) E = i (c) P = i

Two solenoids A and B, spaced close to each other and sharing the same cylindrical axis, have 340 and 580 turns, respectively. A current of 3.40 A in solenoid A produces an average flux of 300 uWb through solenoid A and a flux of 90.0 µWb through solenoid B. (a) Calculate the mutual inductance of the two solenoids. mH (b) What is the inductance of A? mH (c) What is the magnitude of the emf that is induced in B when the current in A changes at the rate of 0.500 A/s? mV

A solenoid of radius 2.30 cm has 440 turns and a length of 25.0 cm. (a) Find its inductance.(b) Find the rate at which current must change through it to produce an emf of 70.0 mV. (Enter the magnitude.)

A solenoid with 495 turns has a length of 5.00 cm and a cross-sectional area of 2.90 ✕ 10−9 m2. Find the solenoid's inductance and the average emf around the solenoid if the current changes from +3.50 A to −3.50 A in 6.33 ✕ 10−3 s. (a) the solenoid's inductance (in H) H (b) the average emf around the solenoid (in V) V

A battery providing emf V is connected in series to a resistor R and an inductor L, and left until the current reaches a constant value. (a) What is the energy stored in the inductor in terms of V, R and L? Then, at t = 0, the battery is suddenly removed, so that only the inductor and resistor are left connected to each other in a closed circuit. (b) Derive an expression for the energy stored in the inductor in the new circuit without the battery. Sketch your expression as a function of time. (c) How long does it take for the energy stored in the inductor to decay to 1/9 of the initial value that you found in part (a)?

A 24.0-V battery is connected in series with a resistor and an inductor, with R = 9.20N and L = 9.20 H, respectively. (a) Find the energy stored in the inductor when the current reaches its maximum value. (b) Find the energy stored in the inductor at an instant that is a time interval of one time constant after the switch is closed.

Two solenoids A and B, spaced close to each other and sharing the same cylindrical axis, have 390 and 590 turns, respectively. A current of 3.80 A in solenoid A produces an average flux of 300 μWb through each turn of A and a flux of 90.0 μWb through each turn of B. (a) Calculate the mutual inductance of the two solenoids. mH (b) What is the inductance of A? mH (c) What is the magnitude of the emf that is induced in B when the current in A changes at the rate of 0.500 A/s? mV

A constant current of I = 15 A exists in a solenoid whose inductance is L = 3.8 H. The current is then reduced to zero in a certain amount of time. (a) If the current goes from 15 to 0 A in a time of 75 ms, what is the emf induced in the solenoid? (b) How much electrical energy is stored in the solenoid? (c) At what rate must the electrical energy be removed from the solenoid when the current is reduced to 0 A in a time of 75 ms? Note that the rate at which energy is removed is the power. (а) € 3D (b) Е 3D (c) P =

A solenoid with 425 turns has a length of 5.00 cm and a cross-sectional area of 2.70 ✕ 10−9 m2. Find the solenoid's inductance and the average emf around the solenoid if the current changes from +4.00 A to −4.00 A in 7.33 ✕ 10−3 s.   (a) the solenoid's inductance (in H)     (b) the average emf around the solenoid (in V)

A solenoid with 455 turns has a length of 8.00 cm and a cross-sectional area of 2.70 ✕ 10−9 m2. Find the solenoid's inductance and the average emf around the solenoid if the current changes from +4.00 A to −4.00 A in 6.83 ✕ 10−3 s. (a) the solenoid's inductance (in H)   (b) the average emf around the solenoid (in V)