(a) Use the Ampere's law to show that the strength of the magnetic field inside an ideal cylindrical solenoid (a coil) is given off by B = µ(0)ni where n is the revolution density (the number of revolutions per unit length of the solenoid) and i is the current through the solenoid. (3p) The current in the solenoid increases at a constant rate to a constant value I in a certain time t. (b) Draw a figure across the cross section of the coil, from which it can be seen how the current, the electric field and the magnetic field are directed in the coil (i) as the current increases and (ii) after the current reaches the constant value I. (3p)
(a) Use the Ampere's law to show that the strength of the magnetic field inside an...
12) Ampere’s Law – Infinite Wire: (10 pts) (a) Use Ampere's law to determine the magnetic field both inside and outside an infinite cylindrical wire of radius R and length 1 carrying a constant current I. Sketch the relevant Amperian loop each case. 1 R R
Using Ampere's Law, find the magnetic field in all space produced by: a) A solid conducting cylinder carrying a total current I. b) Two cylindrical conductings opposite currents (each equal to I in magnitude). The inner one has radius a, the outer one b. c) A solenoid with N turns and length L carrying current I in each turn (inside only, far from the ends). d) A toroidal solenoid with N turns, inner radius a, outer radius b. e) An...
electromagnetic 13) Ampere's Law - Solenoid: (12 pts) A coil of wire is wrapped into a solenoid of length / = 1 m and has n = 15 loops with a current of 1 A passing through it. (a) Identify the current enclosed by an Amperian loop passing through the center of the solenoid as shown in the figure below. 2000000000000000 (b) is the magnetic field perfectly uniform inside this real solenoid? Explain. (e) Is the magnetic field zero or...
Question 2: Use Ampere's Law to find the magnetic field in the interior of a toroidal solenoid tightly wound with N turns of wire carrying current l. Toroid
What will be the integration path used in Ampere's law to calculate the magnetic field B? at a distance r from the axis of the inner cylinder? A solid cylindrical conductor is supported by insulating disks on the axis of a conducting tube with outer radius Ra = 6.15cm and inner radius Rb = 3.35cm. (Figure 1)The central conductor and the conducting tube carry equal currents of I = 2.85A in opposite directions. The currents are distributed uniformly over the...
please show steps and units. What is the magnetic field strength (in T) inside an ideal solenoid with 2650 loops and a length of 35 cm that is carrying a current of 0.385 A? Answer:
12) Ampere’s Law – Infinite Wire: (10 pts) (a) Use Ampere’s law to determine the magnetic field both inside and outside an infinite cylindrical wire of radius R and length l carrying a constant current I. Sketch the relevant Amperian loop each case. 12) Ampere's Law - Infinite Wire: (10 pts) (a) Use Ampere's law to determine the magnetic field both inside and outside an infinite cylindrical wire of radius R and length / carrying a constant current I. Sketch...
3. Starting with Ampere's law, find the magnetic field at r from the axis, inside and outside of a circular toroid, figure below, of major radius R and minor radius a, wrapped with N turns of wire carrying current I. Evaluate for r=R=5cm, a=2cm,N=1000,1=3A
Experiment 6: Magnetic induction To investigate the magnetic induction voltage on a coil placed inside a long cylindrical solenoid as a function of frequency and magnitude of the magnetic field, an experimental set-up is designed as in Figure. Here, L = 2m and N50 are the length and number of turns of the solenoid; and N2-100 and A=25cm2 are number of turns and cross- sectional area of the coil. TE an alternating current I(t)=losin(20ft) of frequency f=1kHz is applied to...
7. (4+6=10 pts) State Biot-Savart law and Ampere's law. Now use Ampere's law to answer following: A long, cylindrical wire (radius = 2.0 cm) carries a current of 40 A that is uniformly distributed (uniform current density) over a cross section of the wire. What is the magnitude of the magnetic field at a point which is 1.5 cm from the axis of the wire?