Problem 5. (4 points) Electric field induced by a changing magnetic field in a solenoid. long...
A long solenoid of radius R 10 cm has n 100 turns/cm and carries a time-varying current that varies sinusoidally as IImax cos (2d), where Imax = 10 A is the maximum current andf-60 Hz is the frequency of the alternating current source. What is the maximum magnitude of the induced electric field inside the solenoid, a distance , 1.3 cm from its axis? Path of integration
3. Find the magnitude of the induced electric field outside a long solenoid at a distance rZR from its central axis if the solenoid is of radius R and hasn turns of wire per unit length and carries a time-varying current that varies sinusoidally as l = 1-cos cot where I-is maximum current and ω is the angular frequency of the current source. 4. A rectangular coil of N windings had an emf of 40 mV induced in it wher...
5) A solenoid comprises 500,000 turns of wire and is 10 cm long and 1.0 cm in radius. a) Find the resultant magnetic field inside the coil if a current of 1 μA flows through the wire. b) How would this change if the core is filled with mumetal (μ = 300 μ0 ). 6) The solenoid of Q5 is placed in a region where the perpendicular magnetic field strength is varying sinusoidally by 20 μT at a rate of...
A small loop of area A = 4.2 mm2 is inside a long solenoid that has n = 413 turns/cm and carries a sinusoidally varying current i of amplitude 2.70 A and angular frequency 349 rad/s. The central axis of the loop and solenoid coincide. What is the amplitude of the emf induced in the loop?
A long solenoid with 1500 turns per meter and radius 1.6 cm carries an oscillating current I = 6.0 sin 100πt, where I is in amperes and t is in seconds. What is the maximum value of the electric field induced at a radius r = 1.2 cm from the axis of the solenoid.
Please solve all questions..thank you! solenoid of radius R-5 cm has n-10000 turns of wire per unit length and carries a Find the value of the induced electric field, E() inside the solenoid at a 13. A long e-dependent current that varies as l(t)-10 cos(2 t). Recall that μ-4 π x 107 T m/A. a) Find the w 1 cm from its central axis. b) Find the value of the induced electric field, E(U) r-1 c distane the solenoid at...
The current in a long solenoid varies according to I(t)=4+6t^2 A. The solenoid has 800 turns/m and a radius of 2cm. At t = 2s find the magnitude of the induced electric field at 4cm from the central axis. a)1.21*10^-4 V/m b)1.21*10^-4J/(A*m) c)2.42*10^-4 V/m d)2.42*10^-4 J/(C*m)
a)The current flowing in a solenoid, of 400 turns, 20 cm length & 4 cm diameter, changes with time according to the graph show to right. Derive an expression for the strength of the induced electric field inside the solenoid. b)Sketch the corresponding graph showing how the induced electric field vary with time. I(A) 5 Q4: Time (30 minutes) A. The current flowing in a solenoid, of 400 turns, 20 cm length & 4 cm diameter, changes with time according...
The induced electric field 13 cm from the axis of a solenoid with a 9.0 cm radius is 44 V/m. Find the rate of change of the solenoid's magnetic field.