A coil with a self-inductance, L = 5.33 H, carries a current that varies with time according to /(t) = losin(2πt)., where lo = 3.5 A. (a) Write a symbolic expression for the emf induced in the coil as a function of time, in terms of its inductance, L, the maximum current, lo, and t, as needed, along with any constants. ε(t) = -2nLIncos (2nt) (b) Write a symbolic expression for average energy stored in the coil, in terms of L and lo, then calculate its numeric value. - L UB: X (Remember, just type "L" for inductance.) 32.65 11%

The current in a 90.0-mH inductor changes with time as / = 1.00 -6.00t, where i is in amperes and t is in seconds. Find the magnitude of the induced emf at t = 4.00 s and at what time is emf zero.

A physics student observes that the current in a coil of conducting wire goes from i, = 0.200 A to i, = 1.50 A in a time interval of At = 0.350 s. Assuming the coil's inductance is L = 5.00 mH, what is the magnitude of the average induced emf (in mV) in the coil for this time interval?

An inductor consists of 100 turns of wire tightly wound about an insulating core. It is attached to a power supply and when the current through it is increased from 0 to 5 A in 3, s an induced emf of 5 V is measured. Find the inductance of this device and the magnetic flux and the energy stored in the magnetic field when the current is held steady at 5 A.

A loop of wire has a self-inductance of 5.5 mH.  You pass a current of 9.0 Amps though the loop, and then drop the current to 0 at a contastant rate over 3.5 seconds. What is the EMF generated?

Two coils have a mutual inductance M = 0.0311 H, while the first coil has self- inductance L₁ = 0.0251 H. If the current through the first coil is changing at a rate di₁/dt = 2.32 A/s and the current through the second coil is changing at a rate di2/dt = 4.09 A/s, what is the magnitude of the EMF in the first loop? V IN

A solenoid of radius 2.30 cm has 560 turns and a length of 25.0 cm. (a) Find its inductance. mH (b) Find the rate at which current must change through it to produce an emf of 50.0 mV. (Enter the magnitude.) A/s

(a) A coil of conducting wire carries a current of i(t) = 16.0 sin(1.20 x 10³t), where i is in amperes and t is in seconds. A second coil is placed in close proximity to the first, and the mutual inductance of the coils is 160 pH. What is the peak emf (in V) in the second coil? V (b) What If? Which would lead to a larger peak emf in the second coil, a doubling of the mutual inductance or a doubling of the frequency with which the current in the first coil changes? O Doubling the mutual inductance would lead to a larger peak emf. O Doubling the frequency with which the current in the first coil changes would lead to a larger peak emf. O The two changes would each have the same effect.

A solenoid of radius 3.5 cm has 700 turns and a length of 25 cm. (a) Find its inductance. mH (b) Find the rate at which current must change through it to produce an emf of 70 mV. (Enter the magnitude.) A/s

A 25-turn circular coil has radius of r = 3 [cm] and a resistance of R = 10 [Q]. The coil is in a uniform magnetic field of 0.46 [T] that is perpendicular to the plane of the coil. a. magnetic flux? What is the value of the b. What is the value of the induced emf and the induced current in the coil? lemf| = [V] I = [A] Now, the value of the magnetic field is increasing from 0.46 [T] to 2.1 [T] in At = 1.4 [s]. C. emf? lemf| I = What is the value of the induced [V] d. current in the coil? [A] What is the value of the induced