A long solenoid with radius a and n turns per unit length carries a time-dependent currentI(t) in the φˆ direction. Find the electric field (magnitude and direction) at a distance s from theaxis of the solenoid (both inside and outside of the solenoid).

A long solenoid of radius a carrying n turns per unit lengthis looped by a wire of resistance R, as shown in the figure.If the current I(t) in the solenoid is increasing at a constantrate, dI / dt = h = constant,(a) What is the magnitude of the current that flowsthrough the loop?(b) If the current I in the solenoid is constant but thesolenoid is pulled out of the loop and reinserted in the opposite direction, what total charge passesthrough the resistor?(c) While the current is changing in the wire that is wrapped around the solenoid, what is the directionand magnitude of the electric field inside the solenoid?

A long solenoid of radius 2 cm has 100 turns/cm and is surrounded by a 100 turn coil of radius 4 cm having a total resistance 20Ω. If current changes from 5 A to − 5A, find the charge through galvanometer.

A 0.5 m long solenoid has 500 turns and has a flux density of 2.512 X 10-3 T atits center. Find the current in solenoid. Given μ0 = 4π X 10 -7 H/m ,Π =3.14

A long solenoid (𝑛=800 turns/m) has a cross-sectional area of 0.51m2 and a current given by 𝐼=5.6+6.3𝑡2A, where 𝑡 is in seconds. A circular coil (𝑁=900 turns) with a cross-sectional area of 0.36m2 is inside and coaxial with the solenoid. What is the magnitude of the emf induced in the coil at 𝑡=1.4s?

A solenoid has a length 𝑙=11.43 cm, a radius 𝑎=1.25 cm, and 1719 turns. The solenoid has a net resistance 𝑅𝑠𝑜𝑙=129.2 Ω. A circular loop with radius 𝑏=3.37 cm is placed around the solenoid, such that it lies in a plane whose normal is aligned with the solenoid axis, and the center of the outer loop lies on the solenoid axis. The outer loop has a resistance 𝑅𝑜=1791.6 Ω. At a time 𝑡=0 s, the solenoid is connected to a battery that supplies a potential 𝐸=32.43 V. At a time 𝑡=2.83 𝜇𝑠, what current flows through the outer loop?