Solenoid
An infinite solenoid with radius b has n turns per unit length. The current varies in time according to I(t) =I0cos(wt). A ring with radius r less than b and resistance R is centered on the solenoid's axis, with its plane perpendicular to the axis.
a) What is the induced current in the ring?
b) A given little piece of ring will feel a magnetic force, for what values of t is the force maximum?
c) What is the effect of the force on the ring? That is, does the force cause the ring to translate, spin, flip over, stretch/shrink?
Homework Answers
Solenoid
An infinite solenoid with a radius b has n turns per unit length. The current varies in terms according to I(t) =Iocoswt (with wpositive defined as shown in the below, i. e counterclockwise) A ring with radius r < b and resistance R is centered on the solenoid's axis, with its plane perpendicular to the axis. a) What is the induced current in the ring? b) A given little piece of the ring will feel a magnetic force. For what value...
An infinite solenoid has radius b and n turns per unit length. The current varies in...
An infinite solenoid has radius b and n turns per unit length.
The current varies in time according to
(with positive defined as shown). A ring with radius
and resistance R is centred on the solenoid axis, with its plane
perpendicular to the axis. (a) What is the induced current in the
ring? (b) A given little piece of the ring will feel a magnetic
force. For what values of t is this force maximum? (c) What is the
effect...
solenoid current 4. A long solenoid with n turns per unit length and radius a is...
solenoid current
4. A long solenoid with n turns per unit length and radius a is surrounded by a single loop of wire of radius r, and resistance R. (The loop and solenoid are concentric, and r>a). The current in the solenoid varies aslo e-at. Find an expression for the current induced in the loop.
please solve it all the info are provide Problem 2 (20pts). Given a solenoid centered on...
please solve it all the info are provide
Problem 2 (20pts). Given a solenoid centered on the z-axis of length 1 m and radius of solenoid is r=a. The magnetic flux density inside the solenoid is: B(z,t) = -îz.sin(wt) (T). Find: Vtotal across the terminals of the solenoid. +Z = Vtotal Z=0 Problem 2 (20pts). Given a solenoid centered on the z-axis of length 1 m and radius of solenoid is r=a. The magnetic flux density inside the solenoid is:...
Problem 3 Part A A copper wire with resistance 0.010 Ω is shaped into a complete circle of radius R 10 cm and placed in a long solenoid so that the axis of the solenoid and the axis of the wire loop...
Problem 3 Part A A copper wire with resistance 0.010 Ω is shaped into a complete circle of radius R 10 cm and placed in a long solenoid so that the axis of the solenoid and the axis of the wire loop coincide. The current in the solenoid is turned on and then slowly decreased. The magnetic field strength is initially B 0.750 T and subsequently decreases in time at the constant rate -0.035 T/s. (a) Calculate the induced emf...
A solenoid of radius r = 1.25 cm and length ℓ = 32.0 cm has 295...
A solenoid of radius r = 1.25 cm and length ℓ = 32.0 cm
has 295 turns and carries 12.0 A. PLEASE DISREGARD FIGURE
(b)
A solenoid of radius r = 1.25 cm and length t = 32.0 cm has 295 turns and carries 12.0 A. PLEASE DISREGARD FIGURE (b). AAAA (a) Calculate the flux through the surface of a disk-shaped area of radius R = 5.00 cm that is positioned perpendicular to and centered on the axis of the...
= 5. A coil of Nc turns and radius b surrounds a long solenoid of radius...
= 5. A coil of Nc turns and radius b surrounds a long solenoid of radius a and n turns per meter in Figure. The current in the solenoid changes as lo 10e sin(wt). Circuit has a variable resistor. (a) Find the induced emf (electromotor force) in the coil as a function of time. (b) Find the self-inductance of solenoid. (c) Find the potential V of the circuit when at t=2 s resistor has 2 12, L=0.4 H, and f=10...
Please solve all questions..thank you! solenoid of radius R-5 cm has n-10000 turns of wire per...
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...
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 carri...
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...
An infinite solenoid has radius b and n turns per unit length.
The current varies in time according to
(with positive defined as shown). A ring with radius
and resistance R is centred on the solenoid axis, with its plane
perpendicular to the axis. (a) What is the induced current in the
ring? (b) A given little piece of the ring will feel a magnetic
force. For what values of t is this force maximum? (c) What is the
effect...
solenoid current
4. A long solenoid with n turns per unit length and radius a is surrounded by a single loop of wire of radius r, and resistance R. (The loop and solenoid are concentric, and r>a). The current in the solenoid varies aslo e-at. Find an expression for the current induced in the loop.
please solve it all the info are provide
Problem 2 (20pts). Given a solenoid centered on the z-axis of length 1 m and radius of solenoid is r=a. The magnetic flux density inside the solenoid is: B(z,t) = -îz.sin(wt) (T). Find: Vtotal across the terminals of the solenoid. +Z = Vtotal Z=0 Problem 2 (20pts). Given a solenoid centered on the z-axis of length 1 m and radius of solenoid is r=a. The magnetic flux density inside the solenoid is:...
Problem 3 Part A A copper wire with resistance 0.010 Ω is shaped into a complete circle of radius R 10 cm and placed in a long solenoid so that the axis of the solenoid and the axis of the wire loop coincide. The current in the solenoid is turned on and then slowly decreased. The magnetic field strength is initially B 0.750 T and subsequently decreases in time at the constant rate -0.035 T/s. (a) Calculate the induced emf...
A solenoid of radius r = 1.25 cm and length ℓ = 32.0 cm
has 295 turns and carries 12.0 A. PLEASE DISREGARD FIGURE
(b)
A solenoid of radius r = 1.25 cm and length t = 32.0 cm has 295 turns and carries 12.0 A. PLEASE DISREGARD FIGURE (b). AAAA (a) Calculate the flux through the surface of a disk-shaped area of radius R = 5.00 cm that is positioned perpendicular to and centered on the axis of the...
= 5. A coil of Nc turns and radius b surrounds a long solenoid of radius a and n turns per meter in Figure. The current in the solenoid changes as lo 10e sin(wt). Circuit has a variable resistor. (a) Find the induced emf (electromotor force) in the coil as a function of time. (b) Find the self-inductance of solenoid. (c) Find the potential V of the circuit when at t=2 s resistor has 2 12, L=0.4 H, and f=10...
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...
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...
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