2 Flat Coil -R- a N = # of turns Long Solenoid n=- # of turns length

energy stored in inductor

A long solenoid with a axa square cross section has n turns per length sits iwth a vertical central axis. Sittting entirely inside this is horizontal flat circular coil of radius R and N turns. What is the mutal inductance between these two coils. Solve by finding the inductance for the solenoid onto the coil

plz help Inductive battery chargers, which allow transfer of electrical power without the need for exposed electrical contacts, are commonly used in appliances that need to be safely immersed in water, such as electric toothbrushes. Consider the following simple model for the power transfer in an inductive charger (see the figure).(Figure 1) Within the charger's plastic base, a primary coil of diameter ddd with nPnP turns per unit length is connected to a home's ac wall outlet so that a current I=I0sin(2πft)I=I0sin(2πft) flows within it. When the toothbrush is seated on the base, an NNN-turn secondary coil inside the toothbrush has a diameter only slightly greater than ddd and is centered on the primary. Find an expression for the emf induced in the secondary coil. [This induced emf recharges the battery.] Express your answer in terms of the variables ddd, nPnPn_P, I0I0I_0, fff, ttt, NNN, and appropriate constants.

Measurements on a solenoid coil (inductor) at a particular instant in time indicate that the current in the inductor is 2.7 A and changing at 0.4 A/s, while the emf generated across the coil is 1.6 V. A) What is the inductance L of the coil? B) If the body of the coil is 1 inch long and ¼ inch in diameter, how many turns are there in the coil?

A solenoid of N1 turns has length l1 and radius R1 , and a second smaller solenoid of N2 turns has length l2 and radius R2 . The smaller solenoid is placed completely inside the larger solenoid so that their long axes coincide. What is the mutual inductance of the two solenoids?

Help please

Solve all.parts and don't use chatgpt

A single circular loop of wire is placed inside a long solenoid with its plane perpendicular to the axis of the solenoid. The area of the loop is A1 and that of the solenoid, which has n turns per unit length, is A2. A current I=I0cosωtI=I0cosωt flows in the solenoid turns. What is the induced emf in the small loop?

A long, straight solenoidhas N turns, uniform cross-sectional area A, and length l. Show thatthe inductance of this solenoid is given by the equation L = m0 AN2/l.Assume that the magnetic field is uniform inside the solenoid and zerooutside.