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3. (20 points) A toroid has a radius of 0.5 m and cross sectional area 104...
3. (20 points) A solenoid has a length of 0.1 m and cross sectional area 104...
3. (20 points) A solenoid has a length of 0.1 m and cross sectional area 104 m2 The total number of turns of wire isN-1000. The current in the wire is 1-0.01 sin (100 π t). μο 4TY 107 in our SI units, a) Find the magnetic field B(t) inside the solenoid. b) Find the magnetic flux Ф, (t) inside the solenoid. c) Express the induced voltage on one turn of the wire,in terms of dI/dt. What is the inductance...
1. (20 points) Consider a toroid of made of N square loops of wires (side length a) with current i. The mean radius...
1. (20 points) Consider a toroid of made of N square loops of wires (side length a) with current i. The mean radius of the toroid is R. You may express your results in terms ofN, R,a, i, and natural constants. Use Ampere's Law, prove that the magnetic field at a point inside the toroid and a distance r from the center is given by ue Ni/ (2 r). Find the magnetic flux through the cross section of the toroid....
9 and 10 please 9. A toroid has center line radius 0.1 m. cross section area...
9 and 10 please
9. A toroid has center line radius 0.1 m. cross section area of 0.2 cm., determine the number of turns so that its inductance is 0.2 uF if it is filled with air. For the same parameters, what will be the inductance if it is filleod with a material of , -500? In the material-filling case, what is the magnetic flux density in the core if 2A current is applied? 10. For the toroid mentioned in...
3 The magnetic field inside a toroidal solenoid is not uniform as for the long, straight...
3 The magnetic field inside a toroidal solenoid is not uniform as for the long, straight solenoid. Over the cross-sectional area of the toroid the magnetic field is stronger near the inner HoNI radius of the torus and somewhat weaker near the outer radius according to B(r) 2Tr So we cannot technically use the simple expression P2 = BAfor the flux through one turn of wire. Nevertheless, the textbook uses an approximate constant value for an equivalent uniform magnetic field...
An electric current is flowing through a long cylindrical conductor with radius a = 0.75 m The current density J=4.5 A/m2 is uniform in the cylinder.
Problem 13: An electric current is flowing through a long cylindrical conductor with radius a = 0.75 m The current density J=4.5 A/m2 is uniform in the cylinder. In this problem we consider an imaginary cylinder with radius r around the axis AB. Part (a) When r is less than a, express the current inside the imaginary cylinder I, in terms of r and J. Expression: Select from the variables below to write your expression. Note that all variables may not be required. α,...
The solenoid shown below has length l = 0.15 m and cross-sectional area A = 3.5...
The solenoid shown below has length l = 0.15 m and cross-sectional area A = 3.5 × 10-4 m2. Its self-inductance is L = 25 mH. A current I of 2.5 amps flows through its coils in the direction shown in the figure. 2. How much magnetic energy, Um, is stored in this solenoid? 3.What is the magnetic field inside the solenoid. (a) B = 14 mT (b) B = 36 mT (c) B = 48 mT (d) B = 61 mT (e) B =...
ΓarA A toroidal solenoid has 600 turns, cross-sectional area 6.90 cm", and mean radius 4.50 cm....
ΓarA A toroidal solenoid has 600 turns, cross-sectional area 6.90 cm", and mean radius 4.50 cm. Calculate the coil's self-Inductance. Express your answer in henries. IVO AXO L = H Submit Request Answer Part B If the current decreases uniformly from 5.00 A to 2.00 A in 3.00 ms, calculate the self-induced emf in the coil. Express your answer in volts. GAS ? V Submit Request Answer Part C The current is directed from terminal a of the coil to...
Magnetism 1. (4) An unknown particle travelling at a velocity of 2.20x106 m/s to the right...
Magnetism 1. (4) An unknown particle travelling at a velocity of 2.20x106 m/s to the right as seen by an observer, enters a region that has an electric field of magnitude 750 V/m pointed away from the observer. Ignore gravity for this question. (a) What is the direction and magnitude of the perpendicular magnetic field which would best cancel out the effect of the electric field so that the particle passes through undeflected? (b) If while travelling 0.200 m, with...
please label each answer and write clearly 3 significant figures or correct power of 10 where...
please label each answer and write clearly
3 significant figures or correct power of 10 where
applicable.
Section 3 Bout A loop of wire sits in a uniform magnetic field, everywhere pointing toward you. Due to a changing magnetic flux through the loop, an induced current flows in the wire, clockwise as shown. The area of the loop is JO550 m, and the magnetic field initially has magnitude KO.410 T (a) Suppose that, over a time period of L..o0s, the...
A solenoid that is 79.0 cm long has a cross-sectional area of 13.0 cm2. There are...
A solenoid that is 79.0 cm long has a cross-sectional area of 13.0 cm2. There are 930 turns of wire carrying a current of 6.60 A. (a) Calculate the energy density of the magnetic field inside the solenoid /m3 (b) Find the total energy stored in the magnetic field there (neglect end effects). t-1 points HRW10 30.P.069. What must be the magnitude of a uniform electric field if it is to have the same energy density as that possessed by...
3. (20 points) A solenoid has a length of 0.1 m and cross sectional area 104 m2 The total number of turns of wire isN-1000. The current in the wire is 1-0.01 sin (100 π t). μο 4TY 107 in our SI units, a) Find the magnetic field B(t) inside the solenoid. b) Find the magnetic flux Ф, (t) inside the solenoid. c) Express the induced voltage on one turn of the wire,in terms of dI/dt. What is the inductance...
1. (20 points) Consider a toroid of made of N square loops of wires (side length a) with current i. The mean radius of the toroid is R. You may express your results in terms ofN, R,a, i, and natural constants. Use Ampere's Law, prove that the magnetic field at a point inside the toroid and a distance r from the center is given by ue Ni/ (2 r). Find the magnetic flux through the cross section of the toroid....
9 and 10 please
9. A toroid has center line radius 0.1 m. cross section area of 0.2 cm., determine the number of turns so that its inductance is 0.2 uF if it is filled with air. For the same parameters, what will be the inductance if it is filleod with a material of , -500? In the material-filling case, what is the magnetic flux density in the core if 2A current is applied? 10. For the toroid mentioned in...
3 The magnetic field inside a toroidal solenoid is not uniform as for the long, straight solenoid. Over the cross-sectional area of the toroid the magnetic field is stronger near the inner HoNI radius of the torus and somewhat weaker near the outer radius according to B(r) 2Tr So we cannot technically use the simple expression P2 = BAfor the flux through one turn of wire. Nevertheless, the textbook uses an approximate constant value for an equivalent uniform magnetic field...
ΓarA A toroidal solenoid has 600 turns, cross-sectional area 6.90 cm", and mean radius 4.50 cm. Calculate the coil's self-Inductance. Express your answer in henries. IVO AXO L = H Submit Request Answer Part B If the current decreases uniformly from 5.00 A to 2.00 A in 3.00 ms, calculate the self-induced emf in the coil. Express your answer in volts. GAS ? V Submit Request Answer Part C The current is directed from terminal a of the coil to...
please label each answer and write clearly
3 significant figures or correct power of 10 where
applicable.
Section 3 Bout A loop of wire sits in a uniform magnetic field, everywhere pointing toward you. Due to a changing magnetic flux through the loop, an induced current flows in the wire, clockwise as shown. The area of the loop is JO550 m, and the magnetic field initially has magnitude KO.410 T (a) Suppose that, over a time period of L..o0s, the...
A solenoid that is 79.0 cm long has a cross-sectional area of 13.0 cm2. There are 930 turns of wire carrying a current of 6.60 A. (a) Calculate the energy density of the magnetic field inside the solenoid /m3 (b) Find the total energy stored in the magnetic field there (neglect end effects). t-1 points HRW10 30.P.069. What must be the magnitude of a uniform electric field if it is to have the same energy density as that possessed by...
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